You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 79% at a level of significance of αα = 0.10. According to your sample, 86 out of 98 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 significantlydifferent from 79% at αα = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 79%.The data suggest the populaton proportion is significantly different from 79% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 79%The data suggest the population proportion is not significantlydifferent from 79% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 79%.Interpret the p-value in the context of the study.There is a 3.34% chance of a Type I error.If the sample proportion of voters who prefer the Democratic candidate is 88% and if another 98 voters are surveyed then there would be a 3.34% chance that we would conclude either fewer than 79% of all voters prefer the Democratic candidate or more than 79% of all voters prefer the Democratic candidate.There is a 3.34% chance that the percent of all voters who prefer the Democratic candidate differs from 79%.If the population proportion of voters who prefer the Democratic candidate is 79% and if another 98 voters are surveyed then there would be a 3.34% chance that either more than 88% of the 98 voters surveyed prefer the Democratic candidate or fewer than 70% of the 98 voters surveyed prefer the Democratic candidate.Interpret the level of significance in the context of the study.There is a 10% chance that the earth is flat and we never actually sent a man to the moon.If the proportion of voters who prefer the Democratic candidate is different from 79% and if another 98 voters are surveyed then there would be a 10% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 79%.If the population proportion of voters who prefer the Democratic candidate is 79% and if another 98 voters are surveyed then there would be a 10% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is different from 79%There is a 10% chance that the proportion of voters who prefer the Democratic candidate is different from 79%.

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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 the Democratic candidate is significantly different from 79% at a level of significance of αα = 0.10. According to your sample, 86 out of 98 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 significantlydifferent from 79% at αα = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 79%.
- The data suggest the populaton proportion is significantly different from 79% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 79%
- The data suggest the population proportion is not significantlydifferent from 79% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 79%.
Interpret the p-value in the context of the study.
- There is a 3.34% chance of a Type I error.
- If the sample proportion of voters who prefer the Democratic candidate is 88% and if another 98 voters are surveyed then there would be a 3.34% chance that we would conclude either fewer than 79% of all voters prefer the Democratic candidate or more than 79% of all voters prefer the Democratic candidate.
- There is a 3.34% chance that the percent of all voters who prefer the Democratic candidate differs from 79%.
- If the population proportion of voters who prefer the Democratic candidate is 79% and if another 98 voters are surveyed then there would be a 3.34% chance that either more than 88% of the 98 voters surveyed prefer the Democratic candidate or fewer than 70% of the 98 voters surveyed prefer the Democratic candidate.
Interpret the level of significance in the context of the study.
- There is a 10% chance that the earth is flat and we never actually sent a man to the moon.
- If the proportion of voters who prefer the Democratic candidate is different from 79% and if another 98 voters are surveyed then there would be a 10% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 79%.
- If the population proportion of voters who prefer the Democratic candidate is 79% and if another 98 voters are surveyed then there would be a 10% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is different from 79%
- There is a 10% chance that the proportion of voters who prefer the Democratic candidate is different from 79%.

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