\"Have you changed industries in the last 12 months?\" This question was asked i
ID: 3048577 • Letter: #
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"Have you changed industries in the last 12 months?" This question was asked in a Linkedin survey in 2016 of two independent random samples representing two populations: Population 1: all Millennial workers that are currently employed . . Population 2: all non-Millennial workers that are currently employed The researcher would like to assess if the proportion of all Millennial workers who are currently employed and have changed industries in the last 12 months would be less than the proportion of all non-Millennial workers who are currently employed and have changed industries in the last 12 months. The significance level is set to 5%. The results of the study are summarized below. ple Size Number who have changed industries in the last 12 months Sample proportion 0.5556 0.6458 1 Millennial workers Non-Millennial workers The p-value is 0.1624, at a 5% significance level, the statistical decision is to fail to reject Ho, the results are not statistically significant. 1 point(s) What can be said about the p-value 0.1624. Select all the statements that apply. The p-value 0.1624 is the smallest significance level for which Ho can be rejected The p-value 0.1624 is the largest significance level for which Ho can be rejected. The probability that the proportion of all Millennial workers who are currently employed and have changed industries in the last 12 months equals the proportion of all non-Millennial workers who are currently employed and have changed industries in the last 12 months is 0.1624 If the two population proportions are equal, that is assuming the proportion of all Millennial workers who are currently employed and have changed industries in the last 12 months equals the proportion of all non-Millennial workers who are currently employed and have changed industries in the last 12 months, the probability of observing a test statistic value like the one we got or something smaller is 0.1624. The probability of observing a test statistic value like the one we got or something smaller is 0.1624. If we were to repeat this study many times and if the two population proportions are equal, that is assuming the proportion of all Millennial workers who are currently employed and have changed industries in the last 12 months equals the proportion of all non-Millennial workers who are currently employed and have changed industries in the last 12 months, we would expect to observe a test statistic value like the one we got or something smaller in 16.24% of the repetitions. Saved 4. Suppose the two population proportions are equal, that is assume the proportion of all Millennial workers who are currently employed and have changed industries in the last 12 months equals the proportion of all non-Millennial workers who are currently employed and have changed industries in the last 12 months 1 point(s) If we were to repeat this study 80 times, each time taking independent random samples of the same size, conducting the same hypothesis test a the same signficance level (previously stated to be 5%), then how many decisions would we expect to be incorrect? 5% 40 None Can't be determined.Explanation / Answer
4g)
type i error probability = 0.05
hence
80 *0.05 = 4
option C) 4 is correct
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