Question

In: Statistics and Probability

The table below summarizes data from a survey of a sample of women. Using a 0.050.05...

The table below summarizes data from a survey of a sample of women. Using a

0.050.05

significance​ level, and assuming that the sample sizes of

800800

men and

300300

women are​ predetermined, test the claim that the proportions of​ agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of​ women?

Gender of Interviewer

Man

Woman

Women who agree

517517

262262

Women who disagree

283283

3838

Click here to view the chi-square distribution table.

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Identify the null and alternative hypotheses. Choose the correct answer below.

A.

Upper H 0H0​:

The proportions of​ agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women.

Upper H 1H1​:

The proportions are different.

B.

Upper H 0H0​:

The proportions of​ agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women.

Upper H 1H1​:

The proportions are the same.

C.

Upper H 0H0​:

The response of the subject and the gender of the subject are independent.

Upper H 1H1​:

The response of the subject and the gender of the subject are dependent.

Compute the test statistic.

nothing

​(Round to three decimal places as​ needed.)

Degrees of Freedom

0.995

0.99

0.975

0.95

0.90

0.10

0.05

0.025

0.01

0.005

1

​-

​-

0.001

0.004

0.016

2.706

3.841

5.024

6.635

7.879

2

0.010

0.020

0.051

0.103

0.211

4.605

5.991

7.378

9.210

10.597

3

0.072

0.115

0.216

0.352

0.584

6.251

7.815

9.348

11.345

12.838

4

0.207

0.297

0.484

0.711

1.064

7.779

9.488

11.143

13.277

14.860

5

0.412

0.554

0.831

1.145

1.610

9.236

11.071

12.833

15.086

16.750

6

0.676

0.872

1.237

1.635

2.204

10.645

12.592

14.449

16.812

18.548

7

0.989

1.239

1.690

2.167

2.833

12.017

14.067

16.013

18.475

20.278

8

1.344

1.646

2.180

2.733

3.490

13.362

15.507

17.535

20.090

21.955

9

1.735

2.088

2.700

3.325

4.168

14.684

16.919

19.023

21.666

23.589

10

2.156

2.558

3.247

3.940

4.865

15.987

Solutions

Expert Solution


orchestra answered 2 years ago
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