Question 191017: Not sure on how to complete the following. I think I did the first one right.
Introduction to Hypothesis Testing
State the claim mathematically. Then write the null and alternative hypothesis. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
a. In a recent poll, it was found that 43% of registered U.S. voters would vote for the incumbent president. If 100 registered voters were sampled randomly, it was found that 35% would vote of the incumbent. Test the claim that the actual proportion is 43%.
Answer: claim: The claim “that 43% of registered U.S voters would vote for the incumbent president”
H0: p = 43
Ha: p not equal to 43
Test: Because Ha contains the not eual to 43, the testis a two-tailed hypothesis test.
b. Convicted murderers receive a sentence of an average of 18.7 years in prison. A criminologist wants to perform a hypothesis test to determine whether the mean sentence by one particular judge differs from 18.7 years.
Answer: claim: the mean sentence by one particular judge differs from 18.7 years
H0:
Ha:
Test:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! State the claim mathematically. Then write the null and alternative hypothesis. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
a. In a recent poll, it was found that 43% of registered U.S. voters would vote for the incumbent president. If 100 registered voters were sampled randomly, it was found that 35% would vote of the incumbent. Test the claim that the actual proportion is 43%.
Answer: claim: The claim “that 43% of registered U.S voters would vote for the incumbent president”
H0: p = 43
Ha: p not equal to 43
Test: Because Ha contains the not equal to 43, the test is a two-tailed hypothesis test.
Comment: "a" looks good
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b. Convicted murderers receive a sentence of an average of 18.7 years in prison. A criminologist wants to perform a hypothesis test to determine whether the mean sentence by one particular judge differs from 18.7 years.
Answer: claim: the mean sentence by one particular judge differs from 18.7 years
H0: u = 18.7
Ha: u is not equal to 18.7
Test: 2-tail test
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Cheers
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Cheers,
Stan H.
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