Of those women who are diagnosed to have early-stage breast cancer, one-third eventually die of the disease. Suppose a screening program for the early detection of breast cancer was started in order to increase the survival rate p of those diagnosed to have the disease. A random sample of 200 women was selected from among those who were screened by the program and who were diagnosed to have the disease. Let x represent the number of those in the sample who survive the disease.

Required:
a. If you wish to determine the community screening program has been effective, state the alternative hypothesis that should be tested.
b. State the null hypothesis.
c. If 164 women in the sample of 200 survive the disease, can you conclude that the community screening program was effective? Test using αα=.05 and explain the practical conclusion from your test.
d. Find the p-value for the test and interpret it.

Answers

Answer 1

Answer:

A) Alternative hypothesis; Ha: p_o > ⅔

B) Null hypothesis;

H0: p_o = ⅔

C) There is sufficient evidence to support the claim that the community screening programme was effective

D) p-value = 0

Its less than the significance value and so we will reject the null hypothesis and conclude that the community screening programme was effective

Step-by-step explanation:

A) We are told that ⅓ of those diagnosed eventually die of the disease. Thus, ⅔ is the fraction that will survive the disease.

Thus, the null hypothesis is;

H0: p_o = ⅔

We are told that a screening programme was started to increase the survival rate. Thus,the alternative hypothesis is;

Ha: p_o > ⅔

B) null hypothesis is;

H0: p_o = ⅔

C) 164 out of the 200 women selected survived the disease.

Thus sample proportion is;

p^ = 164/200

p^ = 0.82

For the z-score value, we will use the formula;

z = (p^ - p_o)/√((p_o(1 - p_o)/n)

Now, p_o = ⅔ = 0.67

Thus;

z = (0.82 - 0.67)/√((0.67(1 - 0.67)/200)

z = 4.51

From online p-value from z-score calculator, we have p-value ≈ 0

This is less than the significant level of 0.05 and therefore we will reject the null hypothesis and conclude that the community screening program was effective.

D) p-value ≈ 0

Reject the null hypothesis


Related Questions

Phil needs to run at least 30
miles this week for his
training, If he has already run
18 miles this week, then how
mary miles should he run on
each of the 3 remaining days
this week?

I NEED THE INEQUALITIES SOLUTION AND THE GRAPH OF EACH QUESTION

Please please please give me all to each question not just the answer please

IF YOU GIVE ME A LINK I WILL REPORT YOU!


Answers

Answer:

The answers to these equations are 4 for the left math problem, 4 for the middle math problem, and 10 for the right math problem.

Step-by-step explanation:

Answer above.

Of 300 students in the cafeteria, 180 had lunch. Write the simplified ratio of the students in the cafeteria to the students that had lunch.

Answers

Answer:

300 : 180 = 5 : 3

Answer...
300 : 180 = 5 : 3

Ernesto is deep-sea diving with two friends. Alexandra is floating on the surface 6 meters
above Emesto, and Krysta is exploring a coral reef 7 meters in front of Ernesto. How far apart
are Alexandra and Krysta? If necessary, round to the nearest tenth.

Answers

Answer:

Use the Pythagorean theorem.  The answer should be 3.61.

Step-by-step explanation:

WVTU is a television station that has 20 thirty-second advertising slots during their regularly scheduled programming each evening. The station is now selling advertising for the first few days in November. They could sell all the slots immediately for $4,500 each, but because November 7 will be an election day, the station manager knows she may be able to sell slots at the last minute to political candidates in tight races for a price of $8,000 each. The demand for these last minute slots is estimated as follows:

8 9 10 11 12 13 14 15 16 17 18 19
Probability 0.03 0.05 0.1 0.15 0.2 0.15 0.1 0.05 0.05 0.05 0.05 0.02

Slots not sold in advance and not sold to political candidates at the last minute can be sold to local advertisers at a price of $2,000.

a. If the station manager sells all the advertising slots in advance, how much revenue will the station receive?
b. How many advertising slots should be sold in advance if the station manager wants to maximize expected revenue?
c. If the station manager sells in advance the number of slots identified in the previous question, what is the probability that the total revenue received will exceed the amount identified in part a where all slots are sold in advance?

Answers

Answer:

a. $90,000

b. 15 advertisement slots

c. 0.53

Step-by-step explanation:

Let the purchase price of the slots, c = 4,500

The salvage value of the slots, s = 2,000

The selling price of the slots, p = 8,000

a. If the store manager sells all the advertising slots in advance, the revenue received, 'R', is given as follows;

R = The number of slots, n × The purchase price for selling immediately, c

∴ R = 20 × $4,500 = $90,000

The revenue the station will receive by selling all the advertising slots in advance, R = $90,000

b. The Cost of Overage, [tex]C_o[/tex] = Purchase price - Salvage value

∴ The Cost of Overage, [tex]C_o[/tex] = 4,500 - 2,000 = 2,500

The Cost of Underage, [tex]C_u[/tex] = Selling price - Purchase price

∴ The Cost of Underage, [tex]C_u[/tex] = 8,000 - 4,500 = 3,500

P; 0.03, 0.05, 0.1, 0.15, 0.2, 0.15, 0.1, 0.05, 0.05, 0.05, 0.05, 0.02

With help of MS Excel, we get the following cumulative frequency

F(Q); 0.03, 0.08, 0.18, 0.33, 0.53, 0.68, 0.78, 0.83, 0.88, 0.93, 0.98, 1

The expected monetary value for the decision to sell the 8th slot at the last minute is given by the following relation;

[tex]C_u[/tex] × [1 - F(Q)] - [tex]C_o[/tex] × F(Q)

Where F(Q) = The cumulative frequency for the 8th stock

Therefore, we have;

3,500 × (1 - 0.03) - 2,500 × 0.03 = 3,300

For the 8th slot, the TV station is expected to make an extra $3,300

Using MS Excel, we get;

For the 9th slot, the profit over the purchase price = $3,020

Fot the 10th slot, the profit over the purchase price = $2,420

The profit over the purchase price for the 11th slot = $1,520

The profit over the purchase price for the 12th slot = $320

The profit over the purchase price for the 13th slot = $(-580)

The 14th = $(-1,180)

15th = $(-1,480)

16th = $(-1,780)

17th = $(-2,080)

18th = $(-2,380)

19th = $(-2,500)

Therefore, to maximize profit, only the 8th, 9th, 10th, 11th, and 12th, slots which are 5 slots should be sold late while 20 - 5 = 15 slots should be sold in advance

c. The probability that the total revenue will exceed the identified amount in part 'a' is the cumulative probability at the 12th slot which is given as follows;

P(D ≤ 12) = F(12) = 0.53.

The probability that the total revenue will exceed the identified amount in part 'a' is the cumulative probability at the 12th slot is 0.53.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

Given information

The demand for these last minute slots is estimated

8 9 10 11 12 13 14 15 16 17 18 19

Probability 0.03 0.05 0.1 0.15 0.2 0.15 0.1 0.05 0.05 0.05 0.05 0.02

The purchase price of the slots = 4,500

The salvage value of the slots = 2,000

The selling price of the slots = 8,000

a. The revenue received

R = The number of slots × The purchase price of the slot

R = 20 × $4,500 = $90,000

The revenue the station will receive by selling all the advertising slots in advance, R = $90,000

b. The Cost of Overage = Purchase price - Salvage value

The Cost of Overage,  = 4,500 - 2,000 = 2,500

The Cost of Underage,  = Selling price - Purchase price

The Cost of Underage,  = 8,000 - 4,500 = 3,500

Probability 0.03, 0.05, 0.1, 0.15, 0.2, 0.15, 0.1, 0.05, 0.05, 0.05, 0.05, 0.02

Cumulative frequency

F(Q); 0.03, 0.08, 0.18, 0.33, 0.53, 0.68, 0.78, 0.83, 0.88, 0.93, 0.98, 1

The expected monetary value for the decision to sell the 8th slot at the last minute

The Cost of Underage × [1 - F(Q)] -  × F(Q)

Where F(Q) = The cumulative frequency for the 8th stock

Therefore, we get

3,500 × (1 - 0.03) - 2,500 × 0.03 = 3,300

For the 8th slot, the TV station is expected to make an extra $3,300

For the 9th slot, the profit over the purchase price = $3,020

For the 10th slot, the profit over the purchase price = $2,420

Similarly,

The profit over the purchase price for the 11th slot = $1,520

The profit over the purchase price for the 12th slot = $320

The profit over the purchase price for the 13th slot = $(-580)

The profit over the purchase price for the 14th = $(-1,180)

The profit over the purchase price for the 15th = $(-1,480)

The profit over the purchase price for the 16th = $(-1,780)

The profit over the purchase price for the 17th = $(-2,080)

The profit over the purchase price for the 18th = $(-2,380)

The profit over the purchase price for the 19th = $(-2,500)

Therefore, only the 8th, 9th, 10th, 11th, and 12th slots should be sold in advance to maximize profit.

c. The probability that the total revenue will exceed the identified amount in part 'a' is the cumulative probability at the 12th slot.

P(D ≤ 12) = F(12) = 0.53.

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A cube shaped box with 9 centimeter edges is used
for shipping glass figurines. What is the surface
area of the box?
A. 54 in2
B. 108 in2
C. 324 in2
D. 486 in

Answers

Your answer will be A. 54 in^2

342 employees prefer a bonus over extra vacation days from a survey of 450 employees what is the population proportion

Answers

Answer:

76

Step-by-step explanation:

450/100 = 4.5

342/4.5 = 76

Which of the following could cause a 32 oz bag of chips to not weigh exactly 32 oz?

Answers

Answer:

you eat 1 chip

Step-by-step explanation:

eat 1 chip and you get 31 oz

Is this model a function?

Explain.

(Someone pls be a decent human being and not send links, all links will be reported)

Answers

Answer:

Yes, that model is a function.

Step-by-step explanation:

A technical definition of a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

And the model shows that each domain ( x ) only goes to one codomain ( y )  which is what a function is.

what is the regular price r of a museum ticket before the discount? Enter the amount table.

Answers

Answer:

The regular price r of a museum ticket before the discount is $60

Step-by-step explanation:

What is discount?

Discount is a reduction made from the gross amount or value of something.

What is regular price?

Regular price means the price at which similar goods or services are regularly sold on the market.

Given,

[tex]54=0.9r\\r=54/0.9\\r=60[/tex]

The regular price r is $60

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Answer:

The regular price r of a museum ticket before the discount is $60

Step-by-step explanation:

hope this helps

if lim x-> 4 f(x)=5 lim x-> 4 f g(x)=0 and lim x-> 4 f h(x)=-2, then find lim (fg)(x)

a.1
b.0
c.3
d.does not exist

Answers

Answer:

0

Step-by-step explanation:

Assuming the problem is:

"lim x-> 4 f(x)=5 lim x-> 4 g(x)=0 and lim x-> 4 h(x)=-2, then find lim x->4 (fg)(x)"

lim x->4 (fg)(x)

Since we know the limits of f and g at x=4 exist we can write the limit as:

lim x->4 f(x) lim x->4 g(x) (since fg(x) means f times g of x.)

5(0)

0

if lim x-> 4 f(x)=5 lim x-> 4 f g(x)=0 and lim x-> 4 f h(x)=-2, then lim (fg)(x) 0

What is inequality?

inequality the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Assuming the problem is:

"lim x-> 4 f(x)=5 lim x-> 4 g(x)=0 and lim x-> 4 h(x)=-2, then find lim x->4 (fg)(x)"

lim x->4 (fg)(x)

Since we know the limits of f and g at x=4 exist we can write the limit as:

lim x->4 f(x) lim x->4 g(x) (since fg(x) means f times g of x.)

=5(0)

=0

Hence the lim x-> 4 f(x)=5 lim x-> 4 f g(x)=0 and lim x-> 4 f h(x)=-2, then lim (fg)(x) 0

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On a coordinate plane, how are the locations of the points (7. -4) and (-7, 4) related?
OA.
reflection across both axes
OB.
reflection across the x-axis
OC. reflection across the y-axis
OD.
locations unrelated

Answers

Answer:OC

Step-by-step explanation:

Factorial – is the product of natural numbers, for example:

5! = (5)(4)(3)(2)(1) = 120

Simplify the following expression:

1) 11! 2) 15! 3) 20!

8!(7-3)! 10!(9-5)! 13!

Answers

Answer:

Step-by-step explanation:

11! = 11*10*9*8*7*6*5*4*3*2*1 = 3991600

15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1=1.307674368 * [tex]10^{12}[/tex]

also looks like this                             1,307,674,368,000

20! = 20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2 = 2.432902008 * [tex]10^{18}[/tex]

also looks like this                             2,432,902,008,000,000,000

8!(7-3)! = 8!4! = (8*7*6*5*4*3*2)(4*3*2) = 967,680

10!(9-5)!13! = 10!4!13! =3,628,800*24*6,227,020,800 = 5.423187139*[tex]10^{17}[/tex]

NO LINKS
what is the answer??

Answers

Answer:

5625 bald eagles

Step-by-step explanation:

Given

[tex]y = 312.5x + 1562.5[/tex]

Required

Predict the numbers in 1998

First, we calculate the value of x

[tex]x = 1998 - 1985[/tex] ---- years since 1985

[tex]x = 13[/tex]

So, we have:

[tex]y = 312.5x + 1562.5[/tex]

[tex]y = 312.5*13 + 1562.5[/tex]

[tex]y = 4062.5 + 1562.5[/tex]

[tex]y = 5625[/tex]

Fina bought a DVD player for $58.97 and a set of DVDs for $24.98. How much did Fina spend in all?

Answers

Fina spent $83.65 in all.

Help me out!!!! ASAP!!!!

Answers

Answer:

226 feet

Step-by-step explanation:

264^2 + 900^2= c^2

879696= c^2

938= c

900+ 264= 1164

1164- 938= 226

I think this is right

2/5 x - 3/2 = 1/4 x + 3/5 ​

Answers

Answer:

x = 14

Step-by-step explanation:

Given

[tex]\frac{2}{5}[/tex] x - [tex]\frac{3}{2}[/tex] = [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{5}[/tex]

Multiply through by 20 ( the LCM of 5, 2 and 4 ) to clear the fractions

8x - 30 = 5x + 12 ( subtract 5x from both sides )

3x - 30 = 12 ( add 30 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

help pls Peter bought 9 tickets to a basketball game. He paid a total of $72. Choose the equation that determines whether each ticket cost $6 or $8

Answers

Answer:

Cost of each ticket bought by Peter = $8 for each ticket

Step-by-step explanation:

Given:

Number of ticket bought by Peter = 9 tickets

Amount paid by Peter for tickets = $72

Find:

Cost of each ticket bought by Peter

Computation:

Cost of each ticket bought by Peter = Amount paid by Peter for tickets / Number of ticket bought by Peter

Cost of each ticket bought by Peter = 72 / 9

Cost of each ticket bought by Peter = $8 for each ticket

Two similar solids A and B are shown.
B
А
3 cm
6 cm
Solid A has a volume of 60 cm.
a) Work out the volume of solid B.
Solid B has a total surface area of 140 cm?
b) Work out the total surface area of solid A.

Answers

Answer:

a)

Step-by-step explanation:

a)140cm3-60cm3=60cm of solid C

Answer:

a = 480 b = 35

Step-by-step explanation

:) dont forget correct units

pls help me waaaaaaa​

Answers

Answer:

lol lol lol lol lol lol lol lol

Step-by-step explanation:

Use the drawing tools to form the correct answers on the graph.
Consider this linear function:
y = -23 – 5.
Plot all of the ordered pairs for the values in the domain.
D: {-6, -5, -2,0, 1}

Answers

Answer:

Step-by-step explanation:

Domain of a function defines the input values (x-values) of the function.

Given linear function is,

y = -2x - 5

Domain of the function is,

{-6, -5, -2, 0, 1}

By substituting the values of x in the equation we can get y-values (output values).

Input-output table for the function,

x            -6            -5            -2             0             1

y             7             5             -1             -5           -7

Now we can plot these points of the graph.        

Select all the expressions that are equivalent to –25(15 – 20d + 5c)

Answers

Answer:

-375+500d-125c

-125c+500d-375

PLEASE HELP WITH THE SECOND QUESTION!
I'LL MARK BRAINLIEST!

Answers

Answer:

For question #2 about Teresa, it would cost her $1,004.80 to fence all around the circle garden.

Step-by-step explanation:

C = 2πr

C = 2 x 3.14 x 8

C = 50.24 ft.

50.24 x $20 = $1,004.80

A stock brokerage has four computers that are used for making trades on the New York Stock Exchange. The probability that a computer fails on any single day is 0.005. Failures occur independently. Any failed computers are repaired after the exchange closes, so each day can be considered an independent trial. (a) What is the probability that all four computers fail on one day

Answers

Answer:

625/100,000,000 or 6.25 out of one million

Step-by-step explanation:

(0.005)^4 = .000000000625  =  625/100,000,000

The probability that all four computers fail on one day is =6.3*[tex]10^{-10}[/tex].

What is probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The probability that a computer fails on any single day is 0.005.

Let X denotes no. of computers fail on day

So, n = 4 , p = 0.05, q= 1-0.05=0.995

P (X = x) = [tex]^{n} C_x \;p^{x} \;q^{n-x}[/tex]

P (X = 4)

= [tex]^{4} C_4 \;(0.005)^{4} \;(0.995)^{4-4}[/tex]

=1* 0.00000000063*1

=0.00000000063

=6.3*[tex]10^{-10}[/tex]

Hence, the probability that all four computers fail on one day is

=6.3*[tex]10^{-10}[/tex].

Learn more about probability here:

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put in a new
A rectangular garage is 11 yards long and 5 yards wide. It costs $2.00 per square yard
concrete floor. How much would it cost to put a new concrete floor in the garage?

Answers

Answer:

$110

Step-by-step explanation:

The first step would be to multiply 11 and 5 to get the result of 55.

Then, you would multiply 55 by whatever the cost per square yard is, which in this case is $2.

Finally after multiplying 55 and 2 you would get the answer of $110.

Hope this helped! Have a great day! :)

find the volume if the figure

Answers

Answer:

there aint no figure

Step-by-step explanation:

Answer:

yea there ain't no figure

Step-by-step explanation:

lololololololololol

2×(c power of 2-5)for c =4​

Answers

the answer is c=-3/13

Help please!! Due in 10 min

Answers

Answer:

Hello Answer: V = 20

Step-by-step explanation:

Hope this helps!

9514 1404 393

Answer:

  v = 20 ft

Step-by-step explanation:

The similarity statement tells you the proportional sides:

  IH/IK = IG/IJ

  v/(10 ft) = (16 ft)/(8 ft)

  v = 10 ft × (16 ft)/(8 ft) = 10 ft × 2

  v = 20 ft

At a book store, 5 fiction books are sold for every 7 nonfiction books sold. How many total books were sold if 35 nonfiction books were sold?

Answers

Answer:

25 Fiction books were sold.

Step-by-step explanation:

The total number of books is 60 books in all.

Answer:

Step-by-step explanation:Total number of books sold altogether in the end is 3040.Step-by-step explanation:A book shop sold fiction books and cartoon books at a ratio of 3:5. ... Then, it sold four times as many fiction books and 40% ... 28 fiction books sold 7 non fiction books are sold D. For every 35 fiction books are sold 11 ...

Х
Compare fractions an
Compare the numbers using a >, <, or = symbol.

2 1/2 28/10

Answers

Answer:

2 1/2 < 28/10

Step-by-step explanation:

28/10 simplifies to 2 8/10 which simplifies to 2 4/5

The number 4 is what percent of 5? A. 0.8% B. 1.25% C. 80% D. 125%​

Answers

Answer:

The answer is C. 80%

Step-by-step explanation:

Hope this helped:)

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