Question

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?
A. A one-sample zz-test for a difference in population proportions
B. A one-sample zz-test for a sample proportion
C. A one-sample zz-test for a population proportion
D. A two-sample zz-test for a difference in population proportions
E. A two-sample zz-test for a difference in sample proportions

Answer 1

The following is the most appropriate method for investigating the sociologist’s belief is,

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

Step-by-step explanation:

• The young adults in a county get their news from online sources are 75 percent.

• But according to sociologist the percentage is actually greater than 75 percent.
• The correct answer is A one-sample zz-test for a difference in population proportions.
• The One proportion Z-test is used to compare proportion which is observed to a theoretical one, only when there are only two categories.
• A z-test is a statistical test which is used to determine whether there are two population which means there are different when the variances are known and the sample size is relatively large.

Answer 2

Answer:

C. A one-sample z-test for population proportion

Step-by-step explanation:

You only need one sample to compare to the null hypothesis and to determine z.

It will be for population propotion because were are trying find evidence for the population not just the sample.