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Only 20% of registered voters voted in the last election. Will voter participation decline for the upcoming election? Of the 388 randomly selected registered voters surveyed, 58 of them will vote in the upcoming election. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for a population proportion v b. The null and alternative hypotheses would be: Họ: ?v Select an answer♥ (please enter a decimal) H1: ?v Select an answer♥ |(Please enter a decimal) c. The test statistic (?v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.)

Only 20% of registered voters voted in the last election. Will voter participation decline for the upcoming election? Of the 388 randomly selected registered voters surveyed, 58 of them will vote in the upcoming election. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for a population proportion v b. The null and alternative hypotheses would be: Họ: ?v Select an answer♥ (please enter a decimal) H1: ?v Select an answer♥ |(Please enter a decimal) c. The test statistic (?v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Please answer B, C, & D. 

Only 20% of registered voters voted in the last election. Will voter participation decline for the upcoming election? Of the 388 randomly selected registered voters surveyed, 58 of them will vote in the upcoming election. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for a population proportion v b. The null and alternative hypotheses would be: Ho: ?v Select an answer v (please enter a decimal) Hj: ?v| Select an answer v (Please enter a decimal) c. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.) e. The p-value is a f. Based on this, we should reject the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly lower than 20% at a = 0.01, so there is statistically significant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be equal to 20%. %3D O The data suggest the population proportion is not significantly lower than 20% at a = 0.01, so there is statistically insignificant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be lower than 20%. %3D The data suggest the populaton proportion is significantly lower than 20% at = 0.01, so there is statistically significant evidence to conclude that the the percentage of all registered voters who will vote in the upcoming election will be lower than 20%. %3D
Transcribed Image Text:Only 20% of registered voters voted in the last election. Will voter participation decline for the upcoming election? Of the 388 randomly selected registered voters surveyed, 58 of them will vote in the upcoming election. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for a population proportion v b. The null and alternative hypotheses would be: Ho: ?v Select an answer v (please enter a decimal) Hj: ?v| Select an answer v (Please enter a decimal) c. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.) e. The p-value is a f. Based on this, we should reject the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly lower than 20% at a = 0.01, so there is statistically significant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be equal to 20%. %3D O The data suggest the population proportion is not significantly lower than 20% at a = 0.01, so there is statistically insignificant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be lower than 20%. %3D The data suggest the populaton proportion is significantly lower than 20% at = 0.01, so there is statistically significant evidence to conclude that the the percentage of all registered voters who will vote in the upcoming election will be lower than 20%. %3D
Expert Solution
Step 1

b.

The null and alternate hypotheses are as below:

H0:p0=0.2H1:p0<0.2

c.

Here

 p^=58388=0.1495

The test statistic is obtained as follows:

z=p^-p0p01-p0n=0.1495-0.20.20.8388=-0.05050.0203=-2.4868

Thus, the test statistic is -2.4868

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