Suppose that the unemployment rate for 18- to 34-year-olds was reported to be 10.6%. Assume that this report was based on a random sample of four hundred 18- to 34-year-olds A political campaign manager wants to know if the sample results can be used to conclude that the unemployment rate for 18- to 34-years-olds is significantly higher than the unemployment rate for all adults. According to the Bureau of Labor Statistics, the unemployment rate for all adults was 7.9%. Develop a hypothesis test that can be used to see if the conclusion that the unemployment rate is higher for 18- to 34-year-olds can be supported. H0: p ≤ 0.079 Ha: p > 0.079 H0: p > 0.079 Ha: p ≤ 0.079      H0: p < 0.079 Ha: p ≥ 0.079 H0: p ≥ 0.079 Ha: p < 0.079 H0: p = 0.079 Ha: p ≠ 0.079 (b) Use the sample data collected for the 18- to 34-year-olds to compute the p-value for the hypothesis test in part (a). Using  ? = 0.05,  what is your conclusion? Find the value of the test statistic. (Round your answer to two decimal places.)   Find the p-value. (Round your answer to four decimal places.) p-value =  State your conclusion. Reject H0. We can conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults.Do not reject H0. We can conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults.    Do not reject H0. We can not conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults.Reject H0. We can not conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults. (c) Explain to the campaign manager what can be said about the observed level of significance for the hypothesis testing results using the p-value. The observed level of significance is      ?, therefore the results     statistically significant. At the given ? we     reject the null hypotheses and conclude that sufficient evidence     to support the conclusion the proportion of adults aged 18 to 34 who were unemployed was higher than the national unemployment rate for all adults.

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

Suppose that the unemployment rate for 18- to 34-year-olds was reported to be 10.6%. Assume that this report was based on a random sample of four hundred 18- to 34-year-olds

A political campaign manager wants to know if the sample results can be used to conclude that the unemployment rate for 18- to 34-years-olds is significantly higher than the unemployment rate for all adults. According to the Bureau of Labor Statistics, the unemployment rate for all adults was 7.9%. Develop a hypothesis test that can be used to see if the conclusion that the unemployment rate is higher for 18- to 34-year-olds can be supported.
H0: p ≤ 0.079
Ha: p > 0.079
H0: p > 0.079
Ha: p ≤ 0.079
    
H0: p < 0.079
Ha: p ≥ 0.079
H0: p ≥ 0.079
Ha: p < 0.079
H0: p = 0.079
Ha: p ≠ 0.079
(b)
Use the sample data collected for the 18- to 34-year-olds to compute the p-value for the hypothesis test in part (a). Using 
? = 0.05,
 what is your conclusion?
Find the value of the test statistic. (Round your answer to two decimal places.)
 
Find the p-value. (Round your answer to four decimal places.)
p-value = 
State your conclusion.
Reject H0. We can conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults.Do not reject H0. We can conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults.    Do not reject H0. We can not conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults.Reject H0. We can not conclude that the unemployment rate for 18- to 34-year-olds is significantly higher than the national unemployment rate of 7.9% for all adults.
(c)
Explain to the campaign manager what can be said about the observed level of significance for the hypothesis testing results using the p-value.
The observed level of significance is      ?, therefore the results     statistically significant. At the given ? we     reject the null hypotheses and conclude that sufficient evidence     to support the conclusion the proportion of adults aged 18 to 34 who were unemployed was higher than the national unemployment rate for all adults.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 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
  • 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