Question
One month before anelection, a poll of 620 randomly selected voters showed 58% planning to vote for a certain candidate. A week later it became
One month before anelection, a poll of 620 randomly selected voters showed 58% planning to vote for a certain candidate. A week later it became known that he had oncetriedanillegaldrug, and a new poll showed only 56% of 1040 voters supporting him. Do these results indicate a decrease in voter support for his candidacy?
a) Test an appropriate hypothesis and state your conclusion.
b) If you concluded there was adifference, estimate that difference with a 99% confidence interval and interpret your interval in context.
Let p1 be the proportion of voters planning to vote for the candidate in the firstpoll, and p2 be the proportion of voters planning to vote for the candidate in the new poll. Choose the correct null and alternative hypotheses below.
Determine the test statistic.
Find theP-value.
What is the result of this hypothesis test with a level of significance of 0.01?
If you concluded there was adifference, estimate thatdifference, p1p2, with a 99% confidence interval. Select the correct answer belowand, ifnecessary, fill in the answer boxes within your choice.
Interpret yourinterval, if any was created. Select the correct answer belowand, ifnecessary, fill in the answer boxes within your choice.
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