A news article that you read stated that 52% of voters prefer the Democratic candidate. You think that the actual percent is larger. 149 of the 266 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.05 level of significance? 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 ? z t  =  (please show your answer to 3 decimal places.)

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

A news article that you read stated that 52% of voters prefer the Democratic candidate. You think that the actual percent is larger. 149 of the 266 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.05 level of significance?

  1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion 
  2. 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)
  1. The test statistic ? z t  =  (please show your answer to 3 decimal places.)
Expert Solution
Step 1

Solution:

1.

Here, the claim is that the percentage of voters prefers the Democratic candidate is larger.

To test the proportion Z-test should be used.

Thus, the correct option is z-test for a population proportion.

2.

State the hypotheses.

Null hypothesis:

H0:p≤0.52

That is, the proportion of voters prefer the Democratic candidate is not larger than 0.52.

Alternative hypothesis:

H1:p>0.52

That is, the proportion of voters prefer the Democratic candidate is larger than 0.52.

steps

Step by step

Solved in 2 steps with 2 images

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
  • 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