The proportions of blood types O, A, B, and AB in the general population of a particular country are known to be in the ratio 49:38:9:4, respectively. A research team, investigating a small isolated community in the country, obtained the following frequencies (i.e. observed number of cases) of blood type.
Blood type O A B AB
Frequency 87 59 20 4
Test the hypothesis that the proportions in this community do not differ significantly from those in the general population.

Answers

Answer 1

Answer:

The proportions differ significantly from those in the general population.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0: p1= 49/100, p2= 38/100, p3= 9/100 and p4= 4/100 for a multinomial distribution involving four categories and n= 170

against

Ha: pi≠ pi0 for at least one value of i= 1,2,3,4

The significance level is set at ∝= 0.05

The test statistic under H0 is

χ² = ∑ (Oi- ei)²/ei

which has approximate chi square distribution with 3d.f  (n-1)

Computations: Under H0 the expected frequencies are

np10= Blood type O = 170 * 49/100= 83.3

np20 = Blood type A = 170 * 38/100= 64.6

np30 = Blood type B = 170 * 20/100= 11.76

np40 = Blood type AB = 170 * 4/100= 2.35

The value of χ² is computed as follows

Cell       Observed         Estimated        (Oi-ei)            (Oi-ei)²   (Oi-ei)²/ei

             Frequency      Frequency  

               Oi                    ei

1             87                        83.3               3.7               13.69        0.157

2            59                      64.6              -5.6                 31.36       0.531

3             20                     34                  -14                   196           9.8

4               4                      6.8                -2.8                  7.84         1.96      

∑             170                    188.7                                                  χ²= 12.43  

The critical region is χ²≥ χ²(0.05,3) = 7.82 for alpha = 0.05 and

χ²≥ χ²(0.01,3) = 11.34  for alpha = 0.01

As the calculated value lies in the critical region for both value of alpha we reject our null hypothesis and accept our alternate hypothesis. The proportions differ significantly from those in the general population.


Related Questions

A customer ordered a product online for $299 and was charged an additional $10 for shipping and handling. The customer received a rebate of $99 and a $25 credit for turning in an old cell phone. After a tax of 4% was applied, how much did the customer pay for the product?

Answers

Answer:

the  amount paid by the customer for the product is $192.40

Step-by-step explanation:

The computation of the amount paid by the customer for the product is shown below:

= Total amount + Total amount × tax rate

= ($299 + $10 - $99 - $25) + ($299 + $10 - $99 - $25) × 0.04

= $185 + 185 × 0.04

= $185 + $7.4

= $192.40

Hence, the  amount paid by the customer for the product is $192.40

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Help ASAP!!!!!A side of the triangle below has been extended to form and exterior angle of 159 degrees.Find the value of s

Answers

Answer:

x=21

Step-by-step explanation:

45+x+the last angle=180

x+159=180

180-159=21

21+45= 66

180-66=114

so i think x would be 21 degrees but im not entirely sure do not quote me on this sorry

X= 21, so the person above me is correct

Police stop a truck at a check post which claims to be carrying sacks of Humic Acid Sodium, a black, water-soluble fertilizer. When the truck is examined, it is found to have sacks of at least four different materials which the police label W, X, Y and Z. They suspect that apart from the fertilizer, the truck is carrying iron filings, gunpowder, and black powdered wood. They conduct some tests whose results are as follows:
The real question is to look at the table and find out which one is the gunpowder?

Answers

Answer:

Z fine black powder

What is an equivalent fraction to 2/7

Answers

4/14 is equivalent. This was found by multiplying both the numerator and denominator by 2.

12 points!! PLEASE

y =(x-3) - 4

rewrite these in standard and factored form!!

Answers

Standard form:

x - y = 7

Factored form:

y = x - 7

Answer:

y = x - 3 - 4

y = x - 7

(x - 7 = y)

(x = y + 7)

Step-by-step explanation:

Hope you got it.

ABCDE is a regular pentagon. Find each lettered angle measure.

Answers

Answer:

x° = 36°, y° = 36°, z° = 72°

Step-by-step explanation:

Each interior angle of a regular polygon is given by the following formula;

Interior angle = (n - 2)×180°/n

Where;

n = The number of sides on the polygon

For the pentagon, we have;

n = 5, therefore;

Interior angle = (5 - 2)×180°/5 = 108°

ΔDCA is an isosceles triangle, with the segments CD and CA being equal, therefore;

∠ADC = ∠DAC = x°, and ∠ACD = 108°

Therefore

x° = (180° - 108°)/2 = 36°

x° = 36°

∠BAC = 2·x° + y° = 108°

∴ y° = 108° - 2·x° = 108° - 2 × 36° = 36°

y° = 36°

ΔADE is an isosceles triangle, with segments AD and AE equal, therefore, the base angles are z° each

Therefore, in ΔADE, we have;

z° = (180° - 36°)/2 = 72°

z° = 72°

Solve for h .

-18 + h = 28

h =

Answers

Answer:

H = 46

Step-by-step explanation:

Add 18 to both sides to get h by itself

h = 46

Final Answer: [tex]h = 46[/tex]

Steps/Reasons/Explanation:

Question: Solve for [tex]h[/tex]. [tex]-18 + h = 28[/tex]. [tex]h[/tex] = ?

Step 1: Regroup the terms.

[tex]h - 18 = 28[/tex]

Step 2: Add [tex]18[/tex] to both sides.

[tex]h = 28 + 18[/tex]

Step 3: Simplify [tex]28 + 18[/tex] to [tex]46[/tex].

[tex]h = 46[/tex]

~I hope I helped you :)~

PLEASE HELP I WILL MARK YOU BRAINLIST PLEASE THANK YOU

Answers

Answer:

it is c

Step-by-step explanation:

the lines are parallel to each other

Mrs. Ellis wrote the expression (24 + 4) ÷ 4 on the board. Which expression is equivalent to the expression Mrs. Ellis wrote?
a.(4 + 3)² ÷ (10 – 3)
b.36 ÷ 3 • 2 + 1
c.8 • 3 + 12 • 2 + 11
d.72 – 4 • 8 – 15 ÷ 3

Answers

Answer:

a. (4+3)² ÷ (10-3)

Step-by-step explanation:

Because 4+3 is 7 then to the second power is 49 divide that by 7 which gives you 7.

Identify the independent and dependent variable of the following graph. Indicate whether the graph rises, falls, or is constant. Annual gross income in relation to number of years.

a. Independent Variable: time, dependent variable: annual income Graph falls and then steadily rises.
b. Independent Variable: annual income, dependent variable: time Incomes rises steadily then drops off sharply before beginning to rise again.
c. Independent Variable: annual income, dependent variable: time Income remains steady throughout time.
d. Independent Variable: time, Dependent Variable: annual income. Income rises steadily then drops off sharply before beginning to rise again.​

Answers

Answer:

d number is the correct answer of the question

Answer:

d. Independent Variable: time, Dependent Variable: annual income

Income rises steadily then drops off sharply before beginning to rise again

Step-by-step explanation:

HELPPPPP ME PLEASEEEE


the product of 9/10 and 8/9 is...
A: between 0 and 1
B: between 1 and 2
C: between 2 and 3
D: greater than 3

Answers

Between 0 and 1 I think because you have to find common denominators
It would be B: between 1 and 2 because the answer to that is 1.8 (rounded) so it is more than one but less than 2.

••••••••••••••••••••••••••••••

Answers

Answer:

D. 7

Step-by-step explanation:

substitute -1 everywhere there is an x

5-2(-1)  multiply

5-(-2) add

7

Y=^2+5x-7 find the vertex

Answers

Answer:

-5/2-39/2

Step-by-step explanation:

I need help what r these coin?​

Answers

Answer:

those are called quarters

Answer:

Well Caden has 3 quarters (which . 75 cents since they are .25 cents a piece ), he also has a dime, (which is .10 cents ) and also a nickel. ( which is .5 cents)

Caden: .75+.10+.5= $1.00

Eden has a quarter (.25 cents), 2 dimes (.20 cents) and 2 nickels ( .10 cents )

Eden : .25+.20+.10= .55 cents

Harper has 2 quarters (.50 cents), 2 dimes ( .20 cents) and 2 nickels( .10 cents)

Haper: .50+.20+.10= .80cent s

Step-by-step explanation:

I hope this helps and if it does please mark me the brainliest! Peace and love

The question is below thanks

Answers

Answer:

AC = 49

Step-by-step explanation:

Using the Altitude - on - Hypotenuse theorem

(leg of large Δ )² = (part of hypotenuse below it ) × (whole hypotenuse)

BC² = DC × AC, substitute values

14² = 4 × x

196 = 4x ( divide both sides by 4 )

49 = x

Thus AC = x = 49

Step-by-step explanation:

pythogoream theorem.(hyp^2=opp^2+adj^2)

hyp=14 adg=4 opp=?

since we have to find opp

opp^2=hyp^2-adj^2

opp^2=14^2-4^2

196-16=180

[tex] \sqrt{180} [/tex]

BD= 13.41

(Q as theta)

sinQ= opp÷hyp

= 13.41÷14

Q=sin^-1(13.4÷14)

Q=73.33

cosQ=adj(AD)÷hyp(BC)

cos 73.33× 14 =adj

AD=4.01

Therefore, AC =AD +DC(4.01+4)

=8.01

I am not sure....but I got this much

Hewo plz help can u answer
PUT A REAL ANSWER!!!!!!!!!!
5 pts.
175+8w≥425

Answers

Answer:

w≥31.25

Step-by-step explanation:

175+8w≥425

-175        -175

8w≥250

/8       /8

w≥31.25

Answer:

X is greater than or equal to 125/4

Step-by-step explanation:

Subtract 175 from both sides which will turn 425 into 250

Divide 8 from 8x to the other side to turn 250 into 125/4

In the end, you get X is greater or equal to 125/4

Does this graph represent a function and if so why

Answers

Answer:

the answer is b

Step-by-step explanation:

given the side lengths of 6, 13, and 20, determine whether the triangle is acute , right , obtuse, or not a triangle.

Answers

Answer:

Not a triangle.

Step-by-step explanation:

Sum of the two smaller sides must be greater than the largest side.

A 15-foot statue casts a 20-foot shadow. How tall is a person who casts a 4-foot-long shadow?

Answers

Answer:

3 ft.

Step-by-step explanation:

15:20 and x:4 you can cross multiply or if you reduce 15:20, the answer is 3:4

Simplify
69 +39
018
O 81

Answers

Answer:

108

Step-by-step explanation:

Answer:

I don't get it is there more option or something.

Perimeter of 316 and 67 m

Answers

Answer:

383 m

Step-by-step explanation:

The perimeter of 316 and 67 is 766m. the area would be 21,172m.
Please mark brainliest if helpful!

Use a fives fact to help you solve 7x6.

Answers

Answer:

42

Step-by-step explanation:

Since 7x5=35, then 7x6=42. This is known as the fives fact rule, and I used it to figure it out.

Hope this helps! :)

Following are the facts to solve the given expression:

Given:

[tex]\to 7 \times 6[/tex]

To find:

facts=?

Solution:

[tex]\to 7 \times 6=42[/tex]

Fact 1:

[tex]\to 42= 6 \times 7[/tex]

Fact 2:

[tex]\to 42= 3 \times 2 \times 7[/tex]

Fact 3:

[tex]\to 42 =(4 \times 10)+ (2\times 1)[/tex]

Fact 4:

[tex]\to 42= (5\times 8) + (2\times 1 )[/tex]

Fact 5:

[tex]\to 42=(3 \times 12)+(2 \times 3)[/tex]

Learn more about facts for solving equations:

brainly.com/question/8648763

what is the range of the graph? Please choose one.

Answers

Answer: All real numbers

Explanation: The graph’s “ends” show arrows, which means the lines will go on forever. Since the lines are going on forever across the y-axis, the range is all real numbers.

If V2=200mL, C1=80%, C2=50%, what is V1?

Answers

Answer:

125 mL

Step-by-step explanation:

We are given:

V₁ = x mL

C₁ = 80%

V₂ = 200 mL

C₂ = 50%

Solving for x:

We know that:

V₁C₁ = V₂C₂                                [Concentration formula]

replacing the values:

x(80) = (200)(50)

x = 125 mL                                [Dividing both sides by 80]

An Olympic-sized swimming pool holds 2,500,000 liters of water. How many gallons of water does an Olympic-sized swimming pool hold? Round your answer to the nearest tenth.

Answers

Answer:

The Olympic sized swimming pool hold 660501.9 gallons of water.

Step-by-step explanation:

Given that:

Water hold by an Olympic sized swimming pool = 2500000 liters

We know that;

1 gallon = 3.785 liters

Therefore,

We will divide the total number of water in liters by 3.785 to find the number of gallons.

Gallons of water in pool = [tex]\frac{2500000}{3.785}[/tex]

Gallons of water in pool = [tex]660501.9[/tex] gallons

Hence,

The Olympic sized swimming pool hold 660501.9 gallons of water.

Which graph represents this system? y = 3. x + y = 4.

Answers

Answer:

On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).

Step-by-step explanation:

|look what brainly did they got me a good grade in math thank you brainly I thank you so much love you all​

Answers

Answer:

you welcome bih

Step-by-step explanation:

Answer:

Congrats

Step-by-step explanation:

I'm glad its helping.

50 POINTS AND BRAINLIEST
The legs of a right triangle are 4 meters and 5 meters. Find the length of the hypotenuse. Round your answer to the nearest tenth.

6.0 meters
6.3 meters
6.4 meters
6.5 meters
6.6 meters
None of the above.

Answers

Answer:

uh is it 6.5???

Step-by-step explanation:

HELP GIVEING BRAINLIST What is the solution set of -11 > 1 + a?
a > -10
a -12
a < -10
a < - 12

Answers

Answer:

the solution set is -11 > 1 + a?

a > -10

a -12

a < -10

What is the product of the expression (2x + - 4)(x - 6)?

Answers

Answer:

(2x+-4=6-

We move all terms to the left:

(2x+-4-(6-)=0

We add all the numbers together, and all the variables

(2x+-4-0=0

We use the square of the difference formula

(2x-4-0=0

Step-by-step explanation:

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