Refer to the previous example: A newspaper is conducting a statewide survey concerning the race for governor. The newspaper will take a simple random sample of n registered voters and determine X = the number of voters that will vote for the Democratic candidate. Is there evidence that a clear majority of the population will vote for the Democratic candidate? To answer this, they will test the hypotheses H ₀: p = 0.50 versus H _a: p> 0.50.

If a two-sided alternative was used for this test, how would this affect the p-value?

(the previous example: A newspaper is conducting a statewide survey concerning the race for governor. The newspaper will take a simple random sample of n registered voters and determine X = the number of voters that will vote for the Democratic candidate. Is there evidence that a clear majority of the population will vote for the Democratic candidate? To answer this, they will test the hypotheses H ₀: p = 0.50 versus H _a: p> 0.50. If n = 120 and X = 64, what is the P-value for this hypothesis test?)

Answers:

A) It would be the same as for the one-sided test.

B) It would be twice as large as for the one-sided test.

C) It would be half as large as for the one-sided test.