A. 0.025 < P -value < 0.05 B. 0.05 < P -value < 0.10 C. P -value < 0.01 D. A pol

Question

A. 0.025 < P-value < 0.05

B. 0.05 < P-value < 0.10

C. P-value < 0.01

D.

A political analyst was curious if younger adults were becoming more conservative. He decided to see if the mean age of registered Republicans was lower than that of registered Democrats. He selected a simple random sample of 128 registered Republicans from a list of registered Republicans and determined the mean age to be = 39 years with a standard deviation of s1 = 8 years. He also selected an independent simple random sample of 200 registered Democrats from a list of registered Democrats and determined the mean age to be = 40 years with a standard deviation of s2 = 10 years. Let ?1 and ?2 represent the mean ages of the populations of all registered Republicans and Democrats, respectively. Let ?1 and ?2 be the corresponding population standard deviations. Suppose it is reasonable to assume that the distributions of age in the populations of registered Republicans and of registered Democrats are Normal with the same standard deviation. Suppose the political analyst had wished to test the hypotheses H0: ?1 = ?2 versus Ha: ?1< ?2. What can we say about the value of the P-value?

A. 0.025 < P-value < 0.05

B. 0.05 < P-value < 0.10

C. P-value < 0.01

D.

Explanation / Answer

Go to Minitab> Sta> 2-sample t and enter 128, 39 and 8 corresponding to 'Sample 1' and 200, 40 and 10 corresponding to 'Sample2' and click OK. The exact p value is 0.318. Option D is correct.

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