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
icon
Related questions
Question

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.

  1. For this study, we should use    
  2. The null and alternative hypotheses would be:    
     Ho:            (please enter a decimal)   
     H1:            (Please enter a decimal)
  1. The test statistic     =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  3. The p-value is     αα
  4. Based on this, we should      the null hypothesis.
  5. 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%.
  6. 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.
  7. 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%
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 10 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman