According to an exit poll for an election, 53.7% of the sample size of 830 reported voting for a specific candidate. Is this enough evidence to predict who won? Test that the population proportion who voted for this candidate was 0.50 against the alternative that it differed from 0.50. Use the Inference for a Proportion web app to complete parts a through d below. C. p=population proportion of voters that voted for the candidate O D. p= the number of voters that voted for the candidate b. State the hypotheses and check the assumptions for a large-sample test. Choose the correct answer below. OA. Ho: p=0.50; H₂: p0.50 The assumptions for a large-sample test are not met. OB. Ho: p=0.50; H₂: p > 0.50 The assumptions for a large-sample test are met. O C. Ho: p=0.50; H₂: p<0.50 The assumptions for a large-sample test are met. D. Ho: p=0.50; H₂: p = 0.50 The assumptions for a large-sample test are met. c. Report the test statistic and P-value and interpret the latter. z = 2.13 (Round to two decimal places as needed.) P-value = 0.033 (Round to three decimal places as needed.)

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 3E
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According to an exit poll for an election, 53.7% of the sample size of 830 reported voting for a specific candidate. Is this enough evidence to predict who won? Test that the population proportion who
voted for this candidate was 0.50 against the alternative that it differed from 0.50. Use the Inference for a Proportion web app to complete parts a through d below.
p = population proportion of voters that voted for the candidate
D. p = the number of voters that voted for the candidate
b. State the hypotheses and check the assumptions for a large-sample test. Choose the correct answer below.
O A. Ho: p=0.50; H₂: p0.50
The assumptions for a large-sample test are not met.
B. Ho: p=0.50; Ha: p > 0.50
The assumptions for a large-sample test are met.
OC. Ho: p=0.50; Ha: p<0.50
The assumptions for a large-sample test are met.
D. Ho: p=0.50; Ha: p0.50
The assumptions for a large-sample test are met.
c. Report the test statistic and P-value and interpret the latter.
z = 2.13 (Round to two decimal places as needed.)
P-value = 0.033 (Round to three decimal places as needed.)
Interpret the P-value. Choose the correct answer below.
OA. Assuming that p = 50%, the probability of obtaining a sample proportion where less than 53.7% of the voters voted for the candidate is equal to the P-value.
B. Assuming that p = 50%, the probability of obtaining a sample proportion where less than 46.3% of the voters voted for the candidate is equal to the P-value.
C. Assuming that p = 50%, the probability of obtaining a sample proportion where more than 53.7% of the voters voted for the candidate is equal to the P-value.
D. Assuming that p = 50%, the probability of obtaining a sample proportion where either more than 53.7% or less than 46.3% of the voters voted for the candidate is equal to the P-value.
Transcribed Image Text:According to an exit poll for an election, 53.7% of the sample size of 830 reported voting for a specific candidate. Is this enough evidence to predict who won? Test that the population proportion who voted for this candidate was 0.50 against the alternative that it differed from 0.50. Use the Inference for a Proportion web app to complete parts a through d below. p = population proportion of voters that voted for the candidate D. p = the number of voters that voted for the candidate b. State the hypotheses and check the assumptions for a large-sample test. Choose the correct answer below. O A. Ho: p=0.50; H₂: p0.50 The assumptions for a large-sample test are not met. B. Ho: p=0.50; Ha: p > 0.50 The assumptions for a large-sample test are met. OC. Ho: p=0.50; Ha: p<0.50 The assumptions for a large-sample test are met. D. Ho: p=0.50; Ha: p0.50 The assumptions for a large-sample test are met. c. Report the test statistic and P-value and interpret the latter. z = 2.13 (Round to two decimal places as needed.) P-value = 0.033 (Round to three decimal places as needed.) Interpret the P-value. Choose the correct answer below. OA. Assuming that p = 50%, the probability of obtaining a sample proportion where less than 53.7% of the voters voted for the candidate is equal to the P-value. B. Assuming that p = 50%, the probability of obtaining a sample proportion where less than 46.3% of the voters voted for the candidate is equal to the P-value. C. Assuming that p = 50%, the probability of obtaining a sample proportion where more than 53.7% of the voters voted for the candidate is equal to the P-value. D. Assuming that p = 50%, the probability of obtaining a sample proportion where either more than 53.7% or less than 46.3% of the voters voted for the candidate is equal to the P-value.
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