what is the se and what is the confidence interval CI

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

Q13a Suppose there are 30 applicants for a job A What is the se and what is the confidence interval CI? Underline se and CI. Show your calculations Q13b Suppose that 20 out of the 30 applicants (see Q13a) are women - Test the null hypothesis that the probability of applying are equal for men and women. Use the continuity correction. Underline chi squared and p value. Show your code and output - Calculate the chi squared statistic and determine the p value, without using the prop.test ( ) function. Do not use the continuity correction. Underline chi squared and p value. - Conduct a binomial test to test the same null hypothesis. Use the pbinom ( ) function (see quiz 13 in notes). Underline the p value. Q13c Suppose that for a job B, there were 20 applicants: 10 men and 10 women. Test the null hypothesis that probabilities for women to apply for job B are equal to those for job A (see Q13b: 30 applicants, 20 of them are women). Use the chisq.test ( ) function to derive - the chi squared statistic, - the p value, - the four expected frequencies Underline the six values. Show your code and output. Do you need a continuity correction? yes or no. Underline. If you do not need a correction, then do not use the correction for the above responses. Q13d For job B, two HR employees interview the applications. The two interviewers are positive about the same eight applicants, Two applicants are positively evaluated by interviewer 1 and negatively by interviewer 2. Six applicants are positively evaluated by interviewer 2 and negatively by interviewer 1. The remaining four are evaluated negatively by both interviewers. Test the null hypothesis that the two interviewers have the same threshold for being positive (i.e., have equal probabilities of being positive about the applicants). Use the continuity correction. - What are the percentages of positive evaluation for interviewer 1 and for interviewer 2? Underline the two percentages. - What are the chi squared statistic and p value? Underline. Show your code and output.

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