Chapter 10, Problem 6PT

To determine

To find: The correct conclusion for the provided test.

Answer to Problem 6PT

The correct option is (e).

Explanation of Solution

Given:

The P -value for the test is 0.048.

Concept used:

Reject the null hypothesis, if P -value is less than the significance level.

Calculation:

Using the given information, the null and alternative hypotheses are:

  $\begin{array}{l}{H}_0:{\mu }_{suburban}={\mu }_{City}\\ H_a:{\mu }_{suburban}\ne {\mu }_{City}\end{array}$

Here, P -value (0.048) is less than the significance level $\left(\alpha =0.05\right)$ . Thus, the decision is to reject the $H_0$ .

Thus, at 5% significance level, there are sufficient evidence to conclude that there is a difference in the average time spent by the students in sub urban and school districts.

Hence, the correct option is (e).