For this study, we should use z test for a population proportion The null and alternative hypotheses would be: Ho:p= __?__(please enter a decimal) H1:p equal to not equal to __?__ (Please enter a decimal) The test statistic z= __?__(please show your answer to 3 decimal places.) The p-value = __?__(Please show your answer to 4 decimal places.) The p-value is >α Based on this, we should fail to reject the null hypothesis. Thus, the final conclusion is that ... Please choose one below __The data suggest the population proportion is not significantly different from 53% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 53%. __The data suggest the populaton proportion is significantly different from 53% at α = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 53% __The data suggest the population proportion is not significantly different from 53% at α = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 53%.
For this study, we should use z test for a population proportion The null and alternative hypotheses would be: Ho:p= __?__(please enter a decimal) H1:p equal to not equal to __?__ (Please enter a decimal) The test statistic z= __?__(please show your answer to 3 decimal places.) The p-value = __?__(Please show your answer to 4 decimal places.) The p-value is >α Based on this, we should fail to reject the null hypothesis. Thus, the final conclusion is that ... Please choose one below __The data suggest the population proportion is not significantly different from 53% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 53%. __The data suggest the populaton proportion is significantly different from 53% at α = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 53% __The data suggest the population proportion is not significantly different from 53% at α = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 53%.
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 53% at a level of significance of α = 0.05. According to your sample, 32 out of 53 potential voters prefer the Democratic candidate.
- For this study, we should use z test for a population proportion
- The null and alternative hypotheses would be:
Ho:p= __?__(please enter a decimal) - H1:p equal to not equal to __?__ (Please enter a decimal)
- The p-value = __?__(Please show your answer to 4 decimal places.)
- The p-value is >α
- Based on this, we should fail to reject the null hypothesis.
- Thus, the final conclusion is that ... Please choose one below
- __The data suggest the population proportion is not significantly different from 53% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 53%.
- __The data suggest the populaton proportion is significantly different from 53% at α = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 53%
- __The data suggest the population proportion is not significantly different from 53% at α = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 53%.
- Interpret the p-value in the context of the study. Please choose one below
- There is a 28.18% chance that the percent of all voters who prefer the Democratic candidate differs from 53%.
- If the population proportion of voters who prefer the Democratic candidate is 53% and if another 53 voters are surveyed then there would be a 28.18% chance that either more than 60% of the 53 voters surveyed prefer the Democratic candidate or fewer than 46% of the 53 voters surveyed prefer the Democratic candidate.
- There is a 28.18% chance of a Type I error.
- If the sample proportion of voters who prefer the Democratic candidate is 60% and if another 53 voters are surveyed then there would be a 28.18% chance that we would conclude either fewer than 53% of all voters prefer the Democratic candidate or more than 53% of all voters prefer the Democratic candidate.
- Interpret the level of significance in the context of the study. Please choose one below
- If the population proportion of voters who prefer the Democratic candidate is 53% and if another 53 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is different from 53%
- There is a 5% chance that the earth is flat and we never actually sent a man to the moon.
- There is a 5% chance that the proportion of voters who prefer the Democratic candidate is different from 53%.
- If the proportion of voters who prefer the Democratic candidate is different from 53% and if another 53 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 53%.
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