Question

Gender and College Students: According to the U.S. Department of Education, approximately 57% of students attending colleges in the U.S. are female. A statistics student is curious whether this is true at her college. She tests the hypotheses H0: p=0.57 versus Ha: p≠0.57. She plans to use a significance level of 0.05. She calculates her test statistic to be 1.42. Determine the P-value. (i) P-value =0.078 (ii) P-value =0.156 (iii) P-value =0.922 (iv) P-value =0.05

Answer 1

Option ii is right

Explanation:

Given that according to the U.S. Department of Education, approximately 57% of students attending colleges in the U.S. are female.

`H_0: p=0.57\\H_a: p≠0.57.`

(Two tailed test at 5% significance level)

Test statistic =1.42

Here since proportions we use Z test

p value = 0.156

(ii) P-value =0.156