Answered: You are conducting a study to see if…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 58% at a level of significance of αα = 0.10. According to your sample, 61 out of 96 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 larger than 58% at αα = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 58%.
- The data suggest the population proportion is not significantly larger than 58% at αα = 0.10, 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 larger than 58% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 58%
Interpret the p-value in the context of the study.
- If the sample proportion of voters who prefer the Democratic candidate is 64% and if another 96 voters are surveyed then there would be a 13.56% chance of concluding that more than 58% of all voters surveyed prefer the Democratic candidate.
- There is a 13.56% chance that more than 58% of all voters prefer the Democratic candidate.
- If the population proportion of voters who prefer the Democratic candidate is 58% and if another 96 voters are surveyed then there would be a 13.56% chance that more than 64% of the 96 voters surveyed prefer the Democratic candidate.
- There is a 13.56% chance of a Type I error.
Interpret the level of significance in the context of the study.
- If the proportion of voters who prefer the Democratic candidate is larger than 58% and if another 96 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 58%.
- If the population proportion of voters who prefer the Democratic candidate is 58% and if another 96 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 larger than 58%
- There is a 10% chance that the proportion of voters who prefer the Democratic candidate is larger than 58%.
- There is a 10% chance that the earth is flat and we never actually sent a man to the moon.