SHORTANSWER. Write the word or phrase that best completes each statement or answ

Question

SHORTANSWER. Write the word or phrase that best completes each statement or answers the question. Identify the null hypothesis, alternative hypothesis, test statistic, conclusion about the null hypothesis, and final Use TRADITIONAL method. 10 CREDITS) conclusion that addresses the original claim 16) A poll of 1068 adult Americans reveals that 48% ofthe voters surveyed prefer the 16) Democratic candidate for the presidency. At the 0.05 level of significance, test the claim that at least half of all voters prefer the Democrat.

Explanation / Answer

Requirements are satisfied: simple random sample; fixed number of trials (1068) with two categories (democrat or not); np = (1068)(0.5) = 534 5 and nq = (1068)(0.5) = 534 5

Step 1: Original claim is that at least half of all voters prefer the Democrat p 5.0

Step 2: Opposite of original claim is p < 5.0

Step 3: Because p < 5.0 does not contain equality so it is H1. Therefore, H0: p 5.0 is the null hypothesis and original claim and H1: p < 5.0 is the alternative hypothesis.

Step 4: Significance level is = 0.05

Step 5: The sample involves a proportion so the relevant statistic is the sample proportion pˆ .

Step 6: calculate z: This is a left-tailed test; P-value is the area to the left of test statistic. Table A-2: z = -1.31 has an area of 0.0951 to its left.

Step 7: Because the P-value of 0.0951 is greater than the significance level of 0.05, fail to reject the null hypothesis.

Step 8: Here is the correct conclusion. There is not sufficient evidence to warrant rejection of the claim that at least half of all voters prefer the Democrat.

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