I. M. Schurr claims that students enjoy online classes more than professors. In order to test his claim, Schurr takes a sample of 60 students and determines 80% of the students enjoy online classes. For a sample of 40 professors, Schurr finds that 55% of the professors enjoy online classes. Do the data support Schurr’s claim that students enjoy online classes more than professors? a. State the null and alternative hypothesis that would be used to test whether students enjoy online classes more than professors.b. What is the appropriate test statistic?c. Determine the critical value(s) for this test using a 1% significance level.d. Calculate the value of the test statistic.e. What is your decision and conclusion?
I. M. Schurr claims that students enjoy online classes more than professors. In order to test his claim, Schurr takes a sample of 60 students and determines 80% of the students enjoy online classes. For a sample of 40 professors, Schurr finds that 55% of the professors enjoy online classes. Do the data support Schurr’s claim that students enjoy online classes more than professors?
a. State the null and alternative hypothesis that would be used to test whether students enjoy online classes more than professors.
b. What is the appropriate test statistic?
c. Determine the critical value(s) for this test using a 1% significance level.
d. Calculate the value of the test statistic.
e. What is your decision and conclusion?
a)
Claim: The proportion of students enjoy online classes more than professors.
Let P1 denote the proportion of students enjoy online classes
Let P2 denote the proportion of students enjoy online classes
The null and alternative hypothesis is,
(b)
The appropriate test statistic is, two samples z-test for proportions
(c)
Critical value:
By using z tables, the critical value of z at 1% level of significance for right tailed test is,
(d)
The known values are,
The pooled proportion or weighted estimate of p is,
The value of z-test statistic is,
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