Researchers investigated whether the proportion of American teenagers with some level of hearing loss was diff erent in 2005–2006 than in 1988–1994. They collected data on random samples of American teenagers in those two time periods. Let the symbol π05-06 denote the population proportion of American teenagers with some level of hearing loss in 2005–2006 and similarly for π88-94. A 95% confidence interval for the parameter π05-06 − π88-94 turns out to be (0.0015, 0.0467).

Required:
What is an appropriate conclusion to draw?

Answers

Answer 1

Complete Question

Researchers investigated whether the proportion of American teenagers with some level of hearing loss was different in 2005–2006 than in 1988–1994. They collected data on random samples of American teenagers in those two time periods. Let the symbol [tex]\pi __{05-06}}[/tex] denote the population proportion of American teenagers with some level of hearing loss in 2005–2006 and similarly for [tex]\pi__{{88-94}}[/tex]. A 95% confidence interval for the parameter [tex]\pi__{{05-06}} }- \pi__{{88-94}}[/tex] turns out to be (0.0015, 0.0467).

Required:

What is an appropriate conclusion to draw?

Answer:

The appropriate conclusion is  

The sample data provide little evidence to doubt that the proportion of American teenagers with hearing loss was the same in 1988-1994 as in 2005-2006

Step-by-step explanation:

Generally the appropriate conclusion is

The sample data provide little evidence to doubt that the proportion of American teenagers with hearing loss was the same in 1988-1994 as in 2005-2006.

This because the confidence intervals are very close to zero , i.e both the upper limit and the lower limit are close to zero  and if we are take 0.05 as our level of significance we see that the both values of the confidence level are small to be significant


Related Questions

please help!! I'm really confused

Answers

Answer:

Point a is correct.

Step-by-step explanation:

hope I helped.

Alice was rock climbing. She climbed to a height of 22 feet. Next, she descended 8 feet. Then, she ascended another 34 feet. What was
Alice's elevation?

Answers

Answer:

48 brainlest plz

Step-by-step explanation:

22-8=14

14+34=48

State the domain of the relation (1,2,3,3,4,5) (-3,-1,1,2,3)

Answers

the domain is all of the x values. so the answer would be (-2,-1,0,1,2)

If f(x)=x^2 and g(x) =3x-1 find [g • f](x)

Answers

Answer:

3x²-1

Step-by-step explanation:

f(x) = x²

g(x) = 3x-1

[g·f](x)

g(f(x))

3(x²)-1

solve for the x variable .

Answers

Answer:

x=15

Step-by-step explanation:

plz mark as brainliest

hope it helped u

Answer:

ok the question is 2x is equals to 15 + x so we will collect the like terms so that we have 2 x minus x is equals to 15 and x is equals to 15

In order to compare the durability of four different brands of golf balls (ALPHA, BEST, CENTURY, and DIVOT), the National Golf Association randomly selects five balls of each brand and places each ball into a machine that exerts the force produced by a 250-yard drive. The number of simulated drives needed to crack or chip each ball is recorded. The results are given in the following table.
Alpha Best Century Divot
281 270 218 364
220 334 244 302
274 307 225 325
242 290 273 337
251 331 249 355
Provide the EXCEL printout of ONEWAY ANOVA using either DATA ANALYSIS or PTSTAT2 to determine whether the mean number of stimulated drives differs by brand of golf ball.
Use the ANOVA printout to write-up the six step hypothesis testing procedure for determining whether the average number of simulated drives differs by brand of golf ball. What is the p-value for this problem and what does it mean? Assume alpha =.05.

Answers

Answer:

As our computed test statistic falls in critical region, so we reject our null hypothesis. Also p-value=0.0009 is less than significance level, so we reject our null hypothesis and conclude that the average number of simulated drives differs by brand of golf ball at 5% significance level.

Step-by-step explanation:

Excel output print out

Anova: Single Factor      

     

SUMMARY      

Groups Count Sum Average Variance  

Alpha 5 1268 253.6 609.3  

Best 5 1532 306.4 740.3  

Century 5 1209 241.8 469.7  

Divot 5 1583 316.6 1235.3  

     

     

ANOVA      

Source of Variation SS df MS F P-value F crit

Between Groups 20960.4 3 6986.8 9.149217573 0.000925804 3.238871517

Within Groups 12218.4 16 763.65    

     

Total 33178.8 19    

The six steps of hypothesis are

1. Null hypothesis: The average number of simulated drives are same by brand of golf ball

Alternative hypothesis: The average number of simulated drives differs by brand of golf ball

2. Significance level: α=0.05

3. Test statistic: F-ratio for one way anova

4. Computations

F=9.149

5. Critical region: F>3.239

6. Conclusion:

As our computed test statistic falls in critical region, so we reject our null hypothesis. Also p-value=0.0009 is less than significance level, so we reject our null hypothesis and conclude that the average number of simulated drives differs by brand of golf ball at 5% significance level.

The equation of a circle is (x−2)2+(y+6)2=100. Find the equation of a circle that is externally tangent to the given circle and has a center at (18, −6).

Answers

Answer:

(x-18)^2+(y+6)^=36

Step-by-step explanation:

circle basic equation is (x-h)^2+(y-k)^2=r^2

center is (18,-6) it is also externally tangent

so

(x-18)^2+(y+6)^2=36 answer

The equation of a circle that is externally tangent to the given circle and has a center at (18, −6) is [tex](x-18)^2+(y+6)^=36[/tex]

What is an equation of a circle?

A circle can be characterized by its center's location and its radius's length. Let the center of the considered circle be at (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Given that the circle basic equation is [tex](x-2)^2+(y+6)^2=100[/tex]

The center is (18,-6) it is also externally tangent;

Therefore,

[tex](x-18)^2+(y+6)^2=36[/tex]

Therefore, the equation of a circle that is externally tangent to the circle is; [tex](x-18)^2+(y+6)^2=36[/tex]

Learn more about equation of a circle here:

https://brainly.com/question/10165274

#SPJ2

-7x = -28
solving one step equations
show your work

Answers

Answer:

x=4

Step-by-step explanation:

-7x=-28

-7     -7

x=4

Divide both sides by -7.  A negative divided by a negative will give you a positive. So the answer would be x=4.

Answer:

x=4

you divide both sides by -7 to get the x by itself. -28 divided by -7 is 4.

help with math, please
will give 100 points

Answers

Answer: y=x10
Because: i looked it up

Answer: y=x10

Step-by-step explanation:

A helicopter’s speed increases from 30 m/s to 40 m/s in 5 seconds.

What is the acceleration of this helicopter?

______m/s2

Answers

Answer:

2m/s^2

Step-by-step explanation:

the difference between 30 and 40 is 10. divide 10 by 5 and you get 2

Answer:

The answer is 2m/s2

Step-by-step explanation:

i got it right

What is the slopeWhat is the slope of this
linear equation:
2x+3y= -4x+9 of this linear equation: 2x+3y= -4x+9

Answers

Answer:

Slope = -2

Step-by-step explanation:

Equation in slope intercept form:

y = -2x + 3

Meaning slope equals -2

help me please i’ll do anything

Answers

Answer:

in the first one, she makes $7.50 per box

Step-by-step explanation:

looking at the graph

−3.5=x4 please help me

Answers

The answer is -0.875

The body mass index (BMI) of a person is the person’s weight divided by the square of his or her height. It is an indirect measure of the person’s body fat and an indicator of obesity. Results from surveys conducted by the Centers for Disease Control and Prevention (CDC) showed that the estimated mean BMI for US adults increased from 25.0 in the 1960–1962 period to 28.1 in the 1999–2002 period.

Suppose you are a health researcher. You conduct a hypothesis test to determine whether the mean BMI of US adults in the current year is lower than the mean BMI of US adults in 2000. Assume that the mean BMI of US adults in 2000 was 28.1 (the population mean). You obtain a sample of BMI measurements of 1,034 US adults, which yields a sample mean of M = 28.9. Let μ denote the mean BMI of US adults in the current year.

Required:
Formulate your null and alternative hypotheses by selecting the appropriate values in the blue dropdown menus that follow.

Answers

Answer:

The null hypothesis is  [tex]H_o : \mu = 28.1[/tex]

 The alternative hypothesis is  [tex]H_a : \mu < 28.1[/tex]

Step-by-step explanation:

From the question we are told that

   The population mean at 1960 - 1962 is  [tex]\mu_1 = 25.0[/tex]

    The population mean at 1999- 2002 is  [tex]\mu_2 = 28.1[/tex]

     The sample size is  n=  1034

     The sample mean is  [tex]M = 28.9[/tex]

 The null hypothesis is  [tex]H_o : \mu = 28.1[/tex]

 The alternative hypothesis is  [tex]H_a : \mu < 28.1[/tex]

Find mWYZ as well Find mACB please help with both. Thank you every much! Triangles, Need help, right now I’m does adding more stuff so it can stop saying 20 characters.

Answers

Answer:

m<WYZ = 23°

m<ACB = 87°

Step-by-step explanation:

Problem 1: Find WYZ

Given,

m<WVX = (3x - 7)°

m<VYZ = (16x - 3)°

∆WYZ ~ ∆WVX, therefore:

m<WYZ = m<WVX (corresponding angles of similar triangles are congruent)

m<WYZ = (3x - 7)° (substitution)

Create an equation to find the value of x.

m<WYZ + m<VYZ = 180° (linear pair)

(3x -7)° + (16x - 3)° = 180° (substitution)

Solve for x

3x - 7 + 16x - 3 = 180

Add like terms

19x - 10 = 180

Add 10 to both sides

19x - 10 + 10 = 180 + 10

19x = 190

Divide both sides by 19

19x/19 = 190/19

x = 10

m<WYZ = (3x - 7)

Substitute x = 10

m<WYZ = 3(10) - 7 = 30 - 7

m<WYZ = 23°

Problem 2: Find m<ACB

Given,

m<A = 62°

m<AED = (11x - 2)°

m<B = (6x + 13)°

∆ADE ~ ∆ACB, therefore:

m<AED = m<B (corresponding angles of similar ∆s are congruent)

(11x - 2)° = (6x + 13)°

Solve for x

11x - 2 = 6x + 13

Collect like terms

11x - 6x = 2 + 13

5x = 15

Divide both sides by 5

5x/5 = 15/5

x = 3

m<ACB + m<B + m<A = 180° (sum of ∆)

m<ACB + (6x + 13) + 62° = 180° (substitution)

Plug in the value of x and solve

m<ACB + (6(3) + 13) + 62° = 180°

m<ACB + (6(3) + 13) + 62° = 180°

m<ACB + (18 + 13) + 62° = 180°

m<ACB + 31° + 62° = 180°

m<ACB + 93° = 180°

Subtract 93 from both sides

m<ACB = 180° - 93°

m<ACB = 87°

Nicole used 3/8 of her ribbon to wrap a present. If she used 6 feet of ribbon for the present, how much ribbon did Nicole have at first?

Answers

Answer:

She had 16 feet of ribbon

Step-by-step explanation:

Answer:

16 ft of ribon

Step-by-step explanation:

divide 6 by 3 and get 2. there is 2 ft for every 8th of the ribbon so 2×8=16

hope it helped

Please help, I’ve been stuck

Answers

I think the answer is B
I am not sure but I think it’s B

14 is no less than 8 times a number x plus 6.

An inequality is ?

Answers

Answer:

The inequality is 14 ≤ 8x + 6

Alex needs to bisect ∠ABC using a compass and straightedge. He starts by performing the following steps. Step 1: Place the compass on vertex B of the angle. Step 2: Draw an arc that intersects both sides of the angle. Step 3: Label these intersections as point D and point E . Step 4: Place the compass at point D and draw an arc in the interior of the angle. What are the next steps Alex should take in his construction?

Answers

Answer:

Step 5: Without changing the length of the compass place it on point E and draw an arc in the interior of the angle.

Step 6: Draw a straight line with the straight edge that goes from the vertex and thru the intersection of both arcs.

Step-by-step explanation:

To bisect and angle is to split it prefectly in half, making for example a 90º angle into two 45º angles, in order to do this you will just need to use your compass and draw an arc that will pass over both sides of the angle, after that you put it in the intersections of the arc and the sides and just draw arcs that fit inside the angle from there where both arcs created from the intersections of the precious arc meet that's the middle of the angle, so now you just draw a straight line from the vertex to the intersection of both arcs and you just have bisected an angle.

insert two arithmetic means between 15 and 36​

Answers

Answer: a_1 = 15

a_4 = 36

a_n = a_1 + (n - 1)d

36 = 15 + (4 - 1)d

21 = 3d

7 = d

15, 22, 29, 36

PLEASE HELP ME IM BEGGING YOU!!!
FIND THE VALUE OF X

Answers

84 I'm sure it's that I did it before

x equals 84°, option D (:

There are 8 dinner rolls in a package.

How many packages will be needed to feed 100 people if each person has 2 dinner rolls? Enter the correct answer to complete the statement.

They will need
packages.

Answers

Answer: 25 packages

Step-by-step explanation: 100x2=200 / 200/8=25

Answer:

100x2 = 200 dinner rolls

200 ÷ 8 = 25 packages

There are 20 students in a class and 70% of these students passed their Biology test.
What number of these students passed their test? Round your answer to the nearest whole
number if necessary.

Answers

Answer:

The answer is 14 students.

Step-by-step explanation:

70% of 20 = 14

IMPLAYER
Every day after ser daily walk, Dena drinks 1.06 liters of water. Which decimal is equivalent to 1.06?
A 1.6
O
B. 1.600
C. 1.060
D. 1.006

Answers

Answer:

C. 1.060

Explanation:

r Which decimal is equivalent to 1.06? Well, if you look at it, c. 1.060 is just 1.06 with a zero added at the end... And we all know zeros have no value. So you can technically just take off the zero at the end and have 1.06. But this is a multiple-choice so you don't get to choose whether or not to take the zero off. So yeah, the answer is c.

Please mark brainliest!

plz help im having a very hard time answering these questions
i will mark u as brainliest

Answers

STEP BY STEP EXPLANATION:

drops

justin walk 5 kilometer and he turn right and he swim 35 meters why the apple is red?​

Answers

Answer:

Red apples get their color from anthocyanins. These are pigments, or natural colorings, that develop as the apple grows. It absorbs all the colors of the rainbow—except for red. The red light reflects off the apple and our brain and eyes work together to let us know what color we are seeing

Step-by-step explanation:

The first part of the question does not correlate to the final question the problem is asking. Therefore, we just need to find out why apples are red. A simple google search can tell you why ^^

Answer:

it's nature first it's green after its gets ready to eat it's colour change

in am just joking

HURRY whats the rate of change

Answers

Answer:

G. -9/2 o -4.5

Step-by-step explanation:

Answer:

G. -9/2

Step-by-step explanation:

this is the rate of change

5) Using limits, describe a function that has a removable discontinuity at x = 5.​

Answers

Answer:

it would be 23x but i really don't know

Step-by-step explanation:

i hope you get it right

Please help (click picture)

Answers

Answer:check photo

Step-by-step explanation:

I need to find the missing angles of this triangle

Answers

Answer:

it is 90 degrees

Step-by-step explanation:

All you have to do is add the sides that you know and triangles total is 180 so add 32+58 and u get 90 degrees then u will have to subtract 180 from 90 and it equals 90 which is your missing angle

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