Please answer all parts You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 75% at a significance level of αα = 0.10. According to your sample, 47 out of 58 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 different from 75% at αα = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is different from 75%. The sample data suggest that the populaton proportion is significantly different from 75% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is different from 75%

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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Question

Please answer all parts

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 75% at a significance level of αα = 0.10. According to your sample, 47 out of 58 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 different from 75% at αα = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is different from 75%.
- The sample data suggest that the populaton proportion is significantly different from 75% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is different from 75%

Expert Solution

Introduction

Any assumption about the parameter or probability function is called Hypothesis testing. There is always some contention about the value of a parameter or the relationship between parameters. When parametric values are unknown we estimate them through sample values. If the sample value is exactly the same as per our contention there is no high in accepting it. And if it is far from our contention there is no reason to accept it. Such a procedure is called Hypothesis testing.