A researcher claims the proportion of adults who live in a household without landline phones is greater than 50%. A survey showed that 850 of the 1600 adult respondents who live in a household without landline phones. Assume you want to use a 0.05 significance level to test theresearcher'sclaim.

(a)What is the appropriate hypothesis test to use for this analysis: one-sample z-test for the population proportion, one-sample t-test for population proportion, one-sample z-test for population mean, or one-sample t- test for population mean? Please identify and explain why it is appropriate.

(b)Identify the null hypothesis and the alternative hypothesis.

(c)Determine the test statistic. Round your answer to two decimal places.

(d)Determine theP-value for this test. Round your answer to three decimal places.Show all work.

(e)Compare p-value and significance level . What decision should be made regarding the null hypothesis(e.g., reject or fail to reject) and why?

(f)Is there sufficient evidence to support theresearcher'sclaim that the proportion of adults living in a household without landline phones is greater than 50%? Explain.