A survey finds that 17% of Americans cannot part with their landlines (The Washington Post, February 27, 2014). A researcher in the rural South collects data from 200 households and finds that 45 of them still have landlines.

a. The researcher believes that the proportion of households with landlines in the rural South is not representative of the national proportion. Specify the competing hypotheses to test her claim.

b. Calculate the value of the test statistic and the p-value.

c. At the 5% significance level, do the sample data support the researcher’s belief?