According to city reports, it was found that the mean age of the prison populati

Question

According to city reports, it was found that the mean age of the prison population in the city was 26 years. Marc wants to test the claim that the mean age of the prison population in his city is less than 26 years. He obtains a random sample of 25 prisoners, and finds a mean age of 24.4 years and a standard deviation of 9.2 years. At a significance level of 0.05, what should his conclusion be? Note: The p-value = 0.1966.

Do not reject the null hypothesis. There is not sufficient evidence that the mean age is less than 26 years.

A)Reject the null hypothesis. The evidence suggests that the mean age is less than 26 years.

B)There is not enough information to perform the test.

C)Do not reject the null hypothesis. There is not sufficient evidence that the mean age is less than 24.4 years.

D)Reject the null hypothesis. There is sufficient evidence that the mean age is less than 24.4 years.

Do not reject the null hypothesis. There is not sufficient evidence that the mean age is less than 26 years.

A)Reject the null hypothesis. The evidence suggests that the mean age is less than 26 years.

B)There is not enough information to perform the test.

C)Do not reject the null hypothesis. There is not sufficient evidence that the mean age is less than 24.4 years.

D)Reject the null hypothesis. There is sufficient evidence that the mean age is less than 24.4 years.

Explanation / Answer

Null hypothesis: The mean age of prison population is 26

Alternative hypothesis : The mean age of prison population is less than 26 years

Given p-value is 0.1966

p-value is greater than 0.05 so accept the null hypotheis. Hence the claim is rejected

The claim theat the mean ge of the prison population in his city is less than 26 years is wrong/rejected.

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