You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 57% at a level of significance of α = 0.10. According to your sample, 53 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 α   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 57% at α = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 57%. The data suggest the populaton proportion is significantly different from 57% at α = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 57% The data suggest the population proportion is not significantly different from 57% at α   = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 57%. Interpret the p-value in the context of the study. There is a 72.3% chance that the percent of all voters who prefer the Democratic candidate differs from 57%. If the sample proportion of voters who prefer the Democratic candidate is 55% and if another 96 voters are surveyed then there would be a 72.3% chance that we would conclude either fewer than 57% of all voters prefer the Democratic candidate or more than 57% of all voters prefer the Democratic candidate. If the population proportion of voters who prefer the Democratic candidate is 57% and if another 96 voters are surveyed then there would be a 72.3% chance that either fewer than 55% of the 96 voters surveyed prefer the Democratic candidate or more than 59% of the 96 voters surveyed prefer the Democratic candidate. There is a 72.3% chance of a Type I error. Interpret the level of significance in the context of the study. If the population proportion of voters who prefer the Democratic candidate is 57% 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 different from 57% If the proportion of voters who prefer the Democratic candidate is different from 57% 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 57%. 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 57%.

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
Topic Video
Question

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 57% at a level of significance of α

= 0.10. According to your sample, 53 out of 96 potential voters prefer the Democratic candidate.

  1. For this study, we should use

The null and alternative hypotheses would be:    
 Ho: (please enter a decimal)   
 H1:

  1. (Please enter a decimal)
  1. 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

α

  •  
  • 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 57% at α
  • = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 57%.
  • The data suggest the populaton proportion is significantly different from 57% at α
  • = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 57%
  • The data suggest the population proportion is not significantly different from 57% at α

 

    • = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 57%.
  1. Interpret the p-value in the context of the study.
    • There is a 72.3% chance that the percent of all voters who prefer the Democratic candidate differs from 57%.
    • If the sample proportion of voters who prefer the Democratic candidate is 55% and if another 96 voters are surveyed then there would be a 72.3% chance that we would conclude either fewer than 57% of all voters prefer the Democratic candidate or more than 57% of all voters prefer the Democratic candidate.
    • If the population proportion of voters who prefer the Democratic candidate is 57% and if another 96 voters are surveyed then there would be a 72.3% chance that either fewer than 55% of the 96 voters surveyed prefer the Democratic candidate or more than 59% of the 96 voters surveyed prefer the Democratic candidate.
    • There is a 72.3% chance of a Type I error.
  2. Interpret the level of significance in the context of the study.
    • If the population proportion of voters who prefer the Democratic candidate is 57% 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 different from 57%
    • If the proportion of voters who prefer the Democratic candidate is different from 57% 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 57%.
    • 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 57%.

 

 
 
 
 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar 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