Suppose that in the exit poll from the state of Florida during the year 2000 presidential elections in the United States, the pollsters recorded only the votes of the two candidates who had any chance of winning, Democrat Albert Gore and Republican George W. Bush. The polls close at 8:00 PM. The number of votes cast for the Republican in the poll is x=407. The sample size is n=765. Can the television networks conclude from these data that the Republican candidate will win the state? Set up the null and alternative hypothesis, the rejection region and the conclusion of the test to answer this question. Use a 1% significance level Select one: a. Yes. The television networks CAN conclude from these data that the Republican candidate will win the state. The sample proportion is 1.77 standard errors from the null value of 0.5. The rejection region is any sample proportion at or below 2.33 standard errors from the null value of 0.5. b. Yes. The television networks CAN conclude from these data that the Republican candidate will win the state. The sample proportion is 2.33 standard errors from the null value of 0.5. The rejection region is any sample proportion at or above 1.77 standard errors from the null value of 0.5. c. NO. The television networks CAN'T conclude from these data that the Republican candidate will win the state. The sample proportion is 1.77 standard errors from the null value of 0.5. The rejection region is any sample proportion at or above 2.33 standard errors from the null value of 0.5. d. Yes. The television networks CAN conclude from these data that the Republican candidate will win the state. The sample proportion is significantly higher than the null value 0.5. e. T

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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Suppose that in the exit poll from the state of Florida during the year 2000 presidential elections in the United States, the pollsters recorded only the votes of the two candidates who had any chance of winning, Democrat Albert Gore and Republican George W. Bush. The polls close at 8:00 PM.

The number of votes cast for the Republican in the poll is x=407. The sample size is n=765.

Can the television networks conclude from these data that the Republican candidate will win the state? Set up the null and alternative hypothesis, the rejection region and the conclusion of the test to answer this question. Use a 1% significance level

Select one:
a. Yes. The television networks CAN conclude from these data that the Republican candidate will win the state. The sample proportion is 1.77 standard errors from the null value of 0.5. The rejection region is any sample proportion at or below 2.33 standard errors from the null value of 0.5.
b. Yes. The television networks CAN conclude from these data that the Republican candidate will win the state. The sample proportion is 2.33 standard errors from the null value of 0.5. The rejection region is any sample proportion at or above 1.77 standard errors from the null value of 0.5.
c. NO. The television networks CAN'T conclude from these data that the Republican candidate will win the state. The sample proportion is 1.77 standard errors from the null value of 0.5. The rejection region is any sample proportion at or above 2.33 standard errors from the null value of 0.5.
d. Yes. The television networks CAN conclude from these data that the Republican candidate will win the state. The sample proportion is significantly higher than the null value 0.5.
e. T
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