You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 72% at a level of significance of αα = 0.10. According to your sample, 63 out of 83 potential voters prefer the Democratic candidate.
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 72% at a level of significance of αα = 0.10. According to your sample, 63 out of 83 potential voters prefer the Democratic candidate.
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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Questions 2-7 (Bolded)
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 72% at a level of significance of αα = 0.10. According to your sample, 63 out of 83 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 different from 72% 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 72%.
- The data suggest the populaton proportion is significantly different from 72% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 72%
- The data suggest the population proportion is not significantly different from 72% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 72%.
- Interpret the p-value in the context of the study.
- There is a 42.84% chance of a Type I error.
- If the sample proportion of voters who prefer the Democratic candidate is 76% and if another 83 voters are surveyed then there would be a 42.84% chance that we would conclude either fewer than 72% of all voters prefer the Democratic candidate or more than 72% of all voters prefer the Democratic candidate.
- There is a 42.84% chance that the percent of all voters who prefer the Democratic candidate differs from 72%.
- If the population proportion of voters who prefer the Democratic candidate is 72% and if another 83 voters are surveyed then there would be a 42.84% chance that either more than 76% of the 83 voters surveyed prefer the Democratic candidate or fewer than 68% of the 83 voters surveyed prefer the Democratic candidate.
- Interpret the level of significance in the context of the study.
- If the proportion of voters who prefer the Democratic candidate is different from 72% and if another 83 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 72%.
- There is a 10% chance that the earth is flat and we never actually sent a man to the moon.
- There is a 10% chance that the proportion of voters who prefer the Democratic candidate is different from 72%.
- If the population proportion of voters who prefer the Democratic candidate is 72% and if another 83 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 72%
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