17. Identify the value of the TEST STATISTIC used in a hypothesis test of the following claim and sample data: Claim: "Less than $14 \%$ of students would shop at the campus bookstore on Sundays." A random sample of 153 students is selected, and $8 \%$ of them said they would shop at the bookstore if it was open on Sundays. Test the claim at the 0.01 significance level.

Step 1 ：The problem is asking for the test statistic for a hypothesis test. In this case, we are dealing with a proportion hypothesis test. The test statistic for a proportion hypothesis test is calculated using the formula: \(Z = \frac{{\hat{p} - p0}}{{\sqrt{{\frac{{p0 * (1 - p0)}}{n}}}}\) where \(\hat{p}\) is the sample proportion, \(p0\) is the hypothesized population proportion, and \(n\) is the sample size.

Step 2 ：In this case, \(\hat{p} = 0.08\) (8% of the students said they would shop at the bookstore), \(p0 = 0.14\) (the claim is that less than 14% of students would shop at the bookstore), and \(n = 153\) (the sample size).

Step 3 ：Substitute the values into the formula to calculate the test statistic: \(Z = \frac{{0.08 - 0.14}}{{\sqrt{{\frac{{0.14 * (1 - 0.14)}}{153}}}}\)

Step 4 ：The test statistic Z is approximately -2.14. This value is negative because the sample proportion is less than the hypothesized population proportion, which is consistent with the claim that less than 14% of students would shop at the bookstore on Sundays.

Step 5 ：Final Answer: The value of the test statistic used in the hypothesis test is approximately \(\boxed{-2.14}\).