I cant figure out how to work out this question, can someone help me please? Thank you. 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 700 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 subjectsinterviewed by women. Does it appear that the gender of the interviewer affected the responses of women?Gender of InterviewerWoman263Chi-square distribution tableManWomen who agreeWomen who disagree44525537Area to the Right of the Critical ValueClick here to view the chi-square distribution table.Degrees ofFreedom.....0.9950.990.9750.950.900.10Identify the null and alternative hypotheses. Choose the correct answer below.1-0.0010.0040.0162.706O A. Ho: The response of the subject and the gender of the subject are independent.20.0100.0200.0510.1030.2114.6050.3520.71130.0720.1150.2160.5846.251H1: The response of the subject and the gender of the subject are dependent.40.2070.2970.4841.0647.779O B. Ho: The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women.50.4120.5540.8311.1451.6109.236H1: The proportions are the same.60.6760.8721.2371.6352.20410.64570.9891.2391.6902.1672.83312.017OC. Ho: The proportions of agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women.81.3441.6462.1802.7333.49013.362H1: The proportions are different.91.7352.0882.7003.3254.16814.684102.1562.5583.2473.9404.86515.987Compute the test statistic.(Round to three decimal places as needed.)Find the critical value(s).PrintDone(Round to three decimal places as needed. Use a comma to separate answers as needed.)What is the conclusion based on the hypothesis test?Ho. Theresufficient evidence to warrant rejection of the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. ItV that the gender of the interviewer affected the responses of women. Chi-square distribution tableArea to the Right of the Critical Value750.950.900.100.050.0250.010.005010.0040.0162.7063.8415.0246.6357.879510.1030.2114.6055.9917.3789.21010.597160.3520.5846.2517.8159.34811.34512.838840.7111.0647.7799.48811.14313.27714.860311.1451.6109.23611.07112.83315.08616.750371.6352.20410.64512.59214.44916.81218.548902.1672.83312.01714.06716.01318.47520.278802.7333.49013.36215.50717.53520.09021.955003.3254.16814.68416.91919.02321.66623.589473.9404.86515.98718.30720.48323.20925.188PrintDone

Answered: Image /qna-images/answer/461ac436-d02f-4d5f-8914-3e0d865d2aa2.jpgThe formula to find the Expected frequency is, In the similar way the expected frequencies for the remaining cells are as follows: Thus, the value of the test statistic is 58.975Obtain the df. The degrees of freedom is obtained below: Thus, the degrees of freedom is 1. obtain the chi square critical value at the 0.01 level of significance. The critical value of Chi square at the 0.01 level of significance with the 1 degrees of freedom is 6.635 Thus, the critical value is 6.635. The conclusion of the test is stated below: Determine the decision. Use the significance level as 0.01. The test statistic value is 58.975 and the critical value is 6.635 By rejection rule, reject the null hypothesis. That is, the proportions are different Reject H0. There is sufficient evidence to warrant the rejection of the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. It appears that gender of the interviewer affected the responses of women.

Math

Statistics

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 700 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? - X Chi-square distribution table Gender of Interviewer Man 445 Woman Women who agree Women who disagree 263 255 37 Area to the Right of the Critical Value Click here to view the chi-square distribution table. Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Hg: The response of the subject and the gender of the subject are independent H: The response of the subject and the gender of the subject are dependent. 0.001 0.051 0.016 0211 0.584 1.064 1.610 2 204 2.706 4.605 6.251 0.004 2 0.010 0.020 0.103 3 0.072 0.115 0.216 0.352 0.207 0.412 0.676 0.297 0.554 0.872 4 0.484 0.711 7.779 OB. Hg: The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women. H: The proportions are the same. 1.145 1.635 5 0.831 1.237 1.690 2.180 2.700 9.236 10.645 7 0.989 1.239 2.167 2.833 12.017 OC. Hg: The proportions of agreeldisagree responses are the same for the subjects interviewed by men and the subjects interviewed by women. 2.733 3.325 3.940 13.362 14.684 15.987 1.344 1.646 3.490 H: The proportions are different. 9 1.735 2.156 2.088 2.558 4.168 4.865 10 3.247 Compute the test statistic. Round to three decimal places as needed.) Find the critical value(s) Print Done Round to three decimal places as needed. Use a comma to separate answers as needed) What is the conclusion based on the hypothesis test? V Họ. There sufficient evidence to warrant rejection of the claim that the proportions of agreeldisagree responses are the same for subjects interviewed by men and the subjects interviewed by women. It V that the gender of the interviewer affected the responses of women.