Q.2.1 - The Practice of Statistics for AP

Question

In the previous Check Your Understanding (page 698), we presented data on the use of Facebook by two randomly selected groups of Penn State students. Here are the data once again.

Do these data provide convincing evidence of a difference in the distributions of Facebook use among students in the two campus settings? 

State appropriate null and alternative hypotheses for a significance test to help answer this question. 

Step-by-Step Solution

Answer

The null and alternative hypotheses are:

$H_0:\left(\begin{array}{c}\text{ There is no difference in the distribution of Facebook use between }\\ \text{ students at Penn state's campus and its commonwealth campuses. }\end{array}\right)$

$H_a:\left(\begin{array}{l}\text{ There is a difference in the distribution of Facebook use between }\\ \text{ students at Penn state's campus and its commonwealth campuses. }\end{array}\right)$

Step 1: Given Information

The table is,

Step 2: Explanation

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:

$H_0:\left(\begin{array}{l}\text{ There is no difference in the distribution of Facebook use between }\\ \text{ students at Penn state's campus and its commonwealth campuses. }\end{array}\right)$

$H_a:\left(\begin{array}{c}\text{ There is a difference in the distribution of Facebook use between }\\ \text{ students at Penn state's campus and its commonwealth campuses. }\end{array}\right)$