The table below summarizes data from a survey of a sample of women. Using a 0.01 significance​ level, and assuming that the sample sizes of 900 men and 300 women are​ predetermined, test the claim...


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



0.01 significance​ level, and assuming that the sample sizes of



900 men and



300 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?


what is the test static?


what is the critical value?


what is th P-value?





































Gender of Interviewer










Man




Woman




Women who agree





572



243




Women who disagree





328



57




Chi-square





















































































































































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


18.307


20.483


23.209


25.188



Jun 10, 2022
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