Two random samples are taken, one from among first-year students and the other f

Question

Two random samples are taken, one from among first-year students and the other from among fourth-year students at a public university. Both samples are asked if they favor modifying the student Honor Code. A summary of the sample sizes and number of each group answering yes" are given below: First-Years (Pop. 1): n_1 = 86, x_1 = 50 Fourth-Years (Pop. 2): n_2 = 96, x_2 = 69 Is there evidence, at an alpha = 0.045 level of significance, to conclude that there is a difference in proportions between first-years and fourth-years? Carry out an appropriate hypothesis test, filling in the information requested. The value of the standardized test statistic: -1.94455464 The rejection region for the standardized test statistic: ________ The p-value is 0.0518284639 Your decision for the hypothesis test: Reject H_A Reject H_0. Do Not Reject H_0. Do Not Reject H_A.

Explanation / Answer

The values in A and C are correct.

B. Given level of significance = 0.045

For 0.045 level of significance and two tailed test,

Critical z values = -2.0046545, 2.0046545

Hence,

Rejection region will be:

(-infty, -2.0046545) U (2.0046545, infty)

D. Do not reject Ho.

Option C is correct.

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