We wish to determine if a two sections of the same introductorycourse have significantly different “success rates” (defined as theproportion of students who receive a course grade of A, B, or C).The first section meets in the early morning, the second sectionmeets in the late afternoon. Each section has 70 students. Amongthe early morning section, 59 receive an A, B, or C. Among the lateafternoon section, 49 receive an A, B, or C.. Assume these can betreated as independent simple random samples from their respectivepopulations. Use this sample data to test the claimH0:(p1−p2)=0 againstHA:(p1−p2)≠0, using asignificance level of 5%.
The value of the test statistic is z=
(round to at least four decimal places).
The P-value for this sample is
A social media platform wants to determine if there is asignificant difference between the average weekly usage (number ofminutes spent on the site per week) of female users and male users,and plans to conduct a Hypothesis Test at the 5% significancelevel. Let ĂŽÂĽ1 be the average daily usage among all maleusers, and ĂŽÂĽ2 be the average daily usage among all femaleusers.
An appropriate alternative hypothesis is:
In a simple random sample of 35 male users, the mean daily usageis 115.9 mintues, with a standard deviation of 8.07 minutes. Anindependent simple random sample of 46 female users has a meandaily usage of 113 minutes and a standard deviation of 7.24minutes.
The value of the test statistic is t=
. The P-Value is
