Chapter 11.2, Problem 2.1CYU

To determine

To state: The null and alternative hypotheses for the provided test.

Explanation of Solution

Given:

The table is:

Use Facebook	Main Campus	Common wealth
Several times a month or less	55	76
At least once a week	215	157
At least once a day	640	394
Total Facebook users	910	627

In this case, it is required to check whether sufficient evidence exists that indicates that there is a difference in the use of Facebook among students in the two campus settings.

The null and alternative hypotheses are:

  $\begin{array}{l}{H}_0:\left(\begin{array}{l}\text{There is no difference in the distribution of Facebook use between }\\ \text{students at Penn state’s campus and its commonwealth campuses}.\end{array}\right)\\ H_a:\left(\begin{array}{l}\text{There is a difference in the distribution of Facebook use between }\\ \text{students at Penn state’s campus and its commonwealth campuses}.\end{array}\right)\end{array}$