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…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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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