A political analyst was curious if younger adults were becomingmore conservative. He decided to see if the mean age of registeredRepublicans was lower than that of registered Democrats. Heselected an SRS of 128 registered Republicans from a list ofregistered Republicans and determined the mean age to be /X1 = = 39years, with a standard deviation s1 = 8 years.He also selected an independent SRS of 200 registered Democratsfrom a list of registered Democrats and determined the mean age tobe /2 = 40 years, with a standard deviation s2= 10 years. Let μ1 and  μ2 representthe mean ages of the populations of all registered Republicans andDemocrats, respectively. Suppose that the distributions of age inthe populations of registered Republicans and of registeredDemocrats have the same standard deviation. Assume thepooled two-sample t procedures are safe to use.
Suppose the researcher had wished to test the hypotheses:
H0: μ1= μ2, Ha,: μ1 < μμ2 .
The P-value for the pooled two-sample t testis:
a. larger than .10
b. between 0.05 and .10
c. between 0.01 and 0.05
d. below 0.01
