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A 2003 study of dreaming found that out of a random sample of 106 people, 83 rep

ID: 2949017 • Letter: A

Question

A 2003 study of dreaming found that out of a random sample of 106 people, 83 reported dreaming in color. However, the rate of reported dreaming in color that was established in the 1940s was 0.27

. Check to see whether the conditions for using a one-proportion z-test are met assuming the researcher wanted to test to see if the proportion dreaming in color had changed since the 1940s.

Are the conditions met?

A.

No, the sample size is not large enough to produce at least 10 successes and 10 failures.

B.

No, the observations are not independent.

C.

No, the population is not more than 10 times bigger than the sample size.

D.

Yes, all the conditions are met.

Explanation / Answer

Ans:

Option D is correct.

Yes, all the conditions are met.

As,the sample has atleast 10 successes and 10 failures.

Sample is random and observations are independent.

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