You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly smaller than 76% at a significance level of αα = 0.01. According to your sample, 54 out of 80 potential voters prefer Candidate A.For this study, we should use The null and alternative hypotheses would be: H0H0: (please enter a decimal) H1H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. As such, the final conclusion is that ...The sample data suggest that the population proportion is not significantly smaller than 76% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 76%.The sample data suggest that the populaton proportion is significantly smaller than 76% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 76%

Given,n=80x=54p^=xnp^=5480=0.675α=0.01

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 smaller than 76% at a significance level of αα = 0.01. According to your sample, 54 out of 80 potential voters prefer Candidate A.

For this study, we should use

The null and alternative hypotheses would be:
  H0H0:            (please enter a decimal)
  H1H1:            (Please enter a decimal)

The test statistic = (please show your answer to 3 decimal places.)

The p-value = (Please show your answer to 4 decimal places.)

The p-value is αα

Based on this, we should the null hypothesis.

As such, the final conclusion is that ...
- The sample data suggest that the population proportion is not significantly smaller than 76% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 76%.
- The sample data suggest that the populaton proportion is significantly smaller than 76% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 76%

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