You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 58% at a level of significance of αα = 0.01. According to your sample, 43 out of 85 potential voters prefer the Democratic candidate.For this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) H1: (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 ααBased on this, we should the null hypothesis.Thus, the final conclusion is that ...The data suggest the population proportion is not significantly smaller than 58% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 58%.The data suggest the populaton proportion is significantly smaller than 58% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 58%The data suggest the population proportion is not significantly smaller than 58% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 58%.Interpret the p-value in the context of the study.There is a 8.31% chance that fewer than 58% of all voters prefer the Democratic candidate.If the sample proportion of voters who prefer the Democratic candidate is 51% and if another 85 voters are surveyed then there would be a 8.31% chance of concluding that fewer than 58% of all voters surveyed prefer the Democratic candidate.If the population proportion of voters who prefer the Democratic candidate is 58% and if another 85 voters are surveyed then there would be a 8.31% chance fewer than 51% of the 85 voters surveyed prefer the Democratic candidate.There is a 58% chance of a Type I error.Interpret the level of significance in the context of the study.There is a 1% chance that the earth is flat and we never actually sent a man to the moon.There is a 1% chance that the proportion of voters who prefer the Democratic candidate is smaller than 58%.If the proportion of voters who prefer the Democratic candidate is smaller than 58% and if another 85 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 58%.If the population proportion of voters who prefer the Democratic candidate is 58% and if another 85 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is smaller than 58%

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Description: You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 58% at a level of significance of αα = 0.01. According to your sample, 43 out of 85 potential voters prefer the Democratic

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 58% at a level of significance of αα = 0.01. According to your sample, 43 out of 85 potential voters prefer the Democratic candidate.

For this study, we should use
The null and alternative hypotheses would be:
Ho: (please enter a decimal)
H₁: (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.
Thus, the final conclusion is that ...
- The data suggest the population proportion is not significantly smaller than 58% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 58%.
- The data suggest the populaton proportion is significantly smaller than 58% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 58%
- The data suggest the population proportion is not significantly smaller than 58% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 58%.
Interpret the p-value in the context of the study.
- There is a 8.31% chance that fewer than 58% of all voters prefer the Democratic candidate.
- If the sample proportion of voters who prefer the Democratic candidate is 51% and if another 85 voters are surveyed then there would be a 8.31% chance of concluding that fewer than 58% of all voters surveyed prefer the Democratic candidate.
- If the population proportion of voters who prefer the Democratic candidate is 58% and if another 85 voters are surveyed then there would be a 8.31% chance fewer than 51% of the 85 voters surveyed prefer the Democratic candidate.
- There is a 58% chance of a Type I error.
Interpret the level of significance in the context of the study.
- There is a 1% chance that the earth is flat and we never actually sent a man to the moon.
- There is a 1% chance that the proportion of voters who prefer the Democratic candidate is smaller than 58%.
- If the proportion of voters who prefer the Democratic candidate is smaller than 58% and if another 85 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 58%.
- If the population proportion of voters who prefer the Democratic candidate is 58% and if another 85 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is smaller than 58%

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