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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. 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.)

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.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**Analysis of Election Poll Data** According to an exit poll for an election, 53.7% of a sample size of 830 reported voting for a specific candidate. The question is whether there is enough evidence to predict who won. To determine this, we test if the population proportion who voted for this candidate is 0.50 against the alternative that it differed from 0.50. ### Step-by-Step Test of Hypotheses: **a. Define the Population Proportion:** - Correct Answer: - \( p \) = population proportion of voters that voted for the candidate **b. State the Hypotheses and Check the Assumptions:** - Hypotheses: - \( H_0: p = 0.50 \) - \( H_a: p \neq 0.50 \) - Assumptions: - The assumptions for a large-sample test are met. **c. Report the Test Statistic and P-Value:** - **Test Statistic:** - \( z = 2.13 \) (rounded to two decimal places) - **P-Value:** - \( 0.033 \) (rounded to three decimal places) **Interpret the P-Value:** - Correct Interpretation: - 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:**Analysis of Election Poll Data** According to an exit poll for an election, 53.7% of a sample size of 830 reported voting for a specific candidate. The question is whether there is enough evidence to predict who won. To determine this, we test if the population proportion who voted for this candidate is 0.50 against the alternative that it differed from 0.50. ### Step-by-Step Test of Hypotheses: **a. Define the Population Proportion:** - Correct Answer: - \( p \) = population proportion of voters that voted for the candidate **b. State the Hypotheses and Check the Assumptions:** - Hypotheses: - \( H_0: p = 0.50 \) - \( H_a: p \neq 0.50 \) - Assumptions: - The assumptions for a large-sample test are met. **c. Report the Test Statistic and P-Value:** - **Test Statistic:** - \( z = 2.13 \) (rounded to two decimal places) - **P-Value:** - \( 0.033 \) (rounded to three decimal places) **Interpret the P-Value:** - Correct Interpretation: - 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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