A study reports that 75 percent of young adults in a county get their news from online sources. A sociologist believes that the percentage is actually greater than 75 percent. The sociologist will select a random sample of young adults from around the county to interview.

" A study reports that 75 percent of young adults in a county get their news from online sources. A sociologist believes that the percentage is actually greater than 75 percent. The sociologist will select a random sample of young adults from around the county to interview. Which of the following is the most appropriate method for investigating the sociologist’s belief? "

Options:-

A one-sample zz-test for a difference in population proportions

A one-sample zz-test for a sample proportion

A one-sample zz-test for a population proportion

A two-sample zz-test for a difference in population proportions

A two-sample zz-test for a difference in sample proportions

Solution:-

- First we need to determine how many samples are to be taken. Since we have the same population for young adults for a both null and alternate hypothesis there is no need of " two -sample test". So one - sample test is sufficient to make a conclusion.

- Next to test the claim of sociologist we need to understand the nature of claim itself. The claim made is not "definitive" or in other words doe not points the exact value of the proportion but rather makes a "comparative" claim that is larger than what the report states.

- The second and third options both test definitive claims while option A tests the comparison ( difference ) in population proportion.