Please answer sub-parts 4,5, and 6 You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 53% at a level of significance of αα = 0.01. According to your sample, 44 out of 98 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 smaller than 53% at αα = 0.01, 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 smaller than 53% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 53% The data suggest the population proportion is not significantly smaller than 53% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 53%. Interpret the p-value in the context of the study.  There is a 53% chance of a Type I error. If the sample proportion of voters who prefer the Democratic candidate is 45% and if another 98 voters are surveyed then there would be a 5.4% chance of concluding that fewer than 53% of all voters surveyed prefer the Democratic candidate. If the population proportion of voters who prefer the Democratic candidate is 53% and if another 98 voters are surveyed then there would be a 5.4% chance fewer than 45% of the 98 voters surveyed prefer the Democratic candidate. There is a 5.4% chance that fewer than 53% of all voters prefer the Democratic candidate. Interpret the level of significance in the context of the study. There is a 1% chance that the earth is flat and we never actually sent a man to the moon. If the proportion of voters who prefer the Democratic candidate is smaller than 53% and if another 98 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 53%. If the population proportion of voters who prefer the Democratic candidate is 53% and if another 98 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is smaller than 53% There is a 1% chance that the proportion of voters who prefer the Democratic candidate is smaller than 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
icon
Related questions
Question

Please answer sub-parts 4,5, and 6

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 53% at a level of significance of αα = 0.01. According to your sample, 44 out of 98 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 smaller than 53% at αα = 0.01, 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 smaller than 53% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 53%
    • The data suggest the population proportion is not significantly smaller than 53% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 53%.
  6. Interpret the p-value in the context of the study.
    •  There is a 53% chance of a Type I error.
    • If the sample proportion of voters who prefer the Democratic candidate is 45% and if another 98 voters are surveyed then there would be a 5.4% chance of concluding that fewer than 53% of all voters surveyed prefer the Democratic candidate.
    • If the population proportion of voters who prefer the Democratic candidate is 53% and if another 98 voters are surveyed then there would be a 5.4% chance fewer than 45% of the 98 voters surveyed prefer the Democratic candidate.
    • There is a 5.4% chance that fewer than 53% of all voters prefer the Democratic candidate.
  7. Interpret the level of significance in the context of the study.
    • There is a 1% chance that the earth is flat and we never actually sent a man to the moon.
    • If the proportion of voters who prefer the Democratic candidate is smaller than 53% and if another 98 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 53%.
    • If the population proportion of voters who prefer the Democratic candidate is 53% and if
    • another 98 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is smaller than 53%
    • There is a 1% chance that the proportion of voters who prefer the Democratic candidate is smaller than 53%.
Expert Solution
Step 1

Introduction:

As you have specified parts 4, 5, and 6, these are the only parts we have helped you with, and whatever values were required from the previous parts, we have calculated in short.

Denote p as the true population proportion of proportion of voters who prefer the Democratic candidate.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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