You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 73% at a level of significance of αα = 0.10. According to your sample, 63 out of 95 potential voters prefer the Democratic candidate.For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: Ho: ? p μ Select an answer > ≠ < = (please enter a decimal) H1: ? p μ Select an answer ≠ = > < (Please enter a decimal)The test statistic ? t z = (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 Select an answer accept fail to reject reject the null hypothesis.Thus, the final conclusion is that ...The data suggest the populaton proportion is significantly smaller than 73% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 73%The data suggest the population proportion is not significantly smaller than 73% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 73%.The data suggest the population proportion is not significantly smaller than 73% at αα = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 73%.Interpret the p-value in the context of the study.If the sample proportion of voters who prefer the Democratic candidate is 66% and if another 95 voters are surveyed then there would be a 7.11% chance of concluding that fewer than 73% of all voters surveyed prefer the Democratic candidate.If the population proportion of voters who prefer the Democratic candidate is 73% and if another 95 voters are surveyed then there would be a 7.11% chance fewer than 66% of the 95 voters surveyed prefer the Democratic candidate. There is a 73% chance of a Type I error.There is a 7.11% chance that fewer than 73% of all voters 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.There is a 10% chance that the proportion of voters who prefer the Democratic candidate is smaller than 73%.If the proportion of voters who prefer the Democratic candidate is smaller than 73% and if another 95 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 73%.If the population proportion of voters who prefer the Democratic candidate is 73% and if another 95 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 smaller than 73%

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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 smaller than 73% at a level of significance of αα = 0.10. According to your sample, 63 out of 95 potential voters prefer the Democratic candidate.

For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
The null and alternative hypotheses would be:
Ho: ? p μ Select an answer > ≠ < = (please enter a decimal)
H₁: ? p μ Select an answer ≠ = > < (Please enter a decimal)

The test statistic ? t z = (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 Select an answer accept fail to reject reject the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the populaton proportion is significantly smaller than 73% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 73%
- The data suggest the population proportion is not significantly smaller than 73% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 73%.
- The data suggest the population proportion is not significantly smaller than 73% at αα = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 73%.
Interpret the p-value in the context of the study.
- If the sample proportion of voters who prefer the Democratic candidate is 66% and if another 95 voters are surveyed then there would be a 7.11% chance of concluding that fewer than 73% of all voters surveyed prefer the Democratic candidate.
- If the population proportion of voters who prefer the Democratic candidate is 73% and if another 95 voters are surveyed then there would be a 7.11% chance fewer than 66% of the 95 voters surveyed prefer the Democratic candidate.
- There is a 73% chance of a Type I error.
- There is a 7.11% chance that fewer than 73% of all voters 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.
- There is a 10% chance that the proportion of voters who prefer the Democratic candidate is smaller than 73%.
- If the proportion of voters who prefer the Democratic candidate is smaller than 73% and if another 95 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 73%.
- If the population proportion of voters who prefer the Democratic candidate is 73% and if another 95 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 smaller than 73%

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