You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly smaller than 75% at a significance level of αα = 0.10. According to your sample, 39 out of 55 potential voters prefer Candidate A. For this study, we should use Select an answer 2-PropZInt χ²-Test 1-PropZTest TInterval 2-SampTTest 2-PropZTest T-Test ANOVA 1-PropZInt 2-SampTInt χ²GOF-Test The null and alternative hypotheses would be: H0H0: ? μ p Select an answer > < = ≠ (please enter a decimal) H1H1: ? p μ Select an answer > < ≠ = (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 Select an answer less than (or equal to) greater than αα Based on this, we should Select an answer fail to reject reject accept the null hypothesis. As such, the final conclusion is that ... The sample data suggest that the populaton proportion is significantly smaller than 75% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 75% The sample data suggest that the population proportion is not significantly smaller than 75% at αα = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 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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You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly smaller than 75% at a significance level of αα = 0.10. According to your sample, 39 out of 55 potential voters prefer Candidate A.

For this study, we should use Select an answer 2-PropZInt χ²-Test 1-PropZTest TInterval 2-SampTTest 2-PropZTest T-Test ANOVA 1-PropZInt 2-SampTInt χ²GOF-Test

The null and alternative hypotheses would be:
  H0H0: ? μ p  Select an answer > < = ≠   (please enter a decimal)
  H1H1: ? p μ  Select an answer > < ≠ =   (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 Select an answer less than (or equal to) greater than αα

Based on this, we should Select an answer fail to reject reject accept the null hypothesis.

As such, the final conclusion is that ...
- The sample data suggest that the populaton proportion is significantly smaller than 75% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 75%
- The sample data suggest that the population proportion is not significantly smaller than 75% at αα = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 75%.

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