You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly less than 0.83. You use a significance level of α=0.02α=0.02. H0:p=0.83H0:p=0.83 H1:p<0.83H1:p<0.83You obtain a sample of size 166 in which there are 135 successes.What is the test statistic for this sample? (Report answer accurate to 3 decimal places.) What is the p-value for this sample? (Report answer accurate to 4 decimal places.) The p-value isless than (or equal to) ααgreater than ααThis test statistic leads to a decision toreject the nullaccept the nullfail to reject the nullAs such, the final conclusion is thatthere is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is less than 0.83.there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is less than 0.83.there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is equal to 0.83.there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is equal to 0.83.

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Answered: You are conducting a study to see if…

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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You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly less than 0.83. You use a significance level of α=0.02α=0.02.

H0:p=0.83H0:p=0.83
H1:p<0.83H1:p<0.83

You obtain a sample of size 166 in which there are 135 successes.

What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)

What is the p-value for this sample? (Report answer accurate to 4 decimal places.)

The p-value is

less than (or equal to) αα
greater than αα

This test statistic leads to a decision to

reject the null
accept the null
fail to reject the null

As such, the final conclusion is that

there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is less than 0.83.
there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is less than 0.83.
there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is equal to 0.83.
there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is equal to 0.83.

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