A university claims that their employment rate directly after graduation is 80%. In a sample of 700 graduates, 609 found to have gained employment directly after graduation. Test the claim that the university's employment rate after graduation is significantly different than 80% at the 0.01 significance level. The null and alternative hypothesis would be:   H0:μ≥0.8H0:μ≥0.8 H1:μ<0.8H1:μ<0.8 H0:μ≤0.8H0:μ≤0.8 H1:μ>0.8H1:μ>0.8 H0:p≥0.8H0:p≥0.8 H1:p<0.8H1:p<0.8 H0:p=0.8H0:p=0.8 H1:p≠0.8H1:p≠0.8 H0:p≤0.8H0:p≤0.8 H1:p>0.8H1:p>0.8 H0:μ=0.8H0:μ=0.8 H1:μ≠0.8H1:μ≠0.8 The test is:   left-tailed right-tailed two-tailed The test statistic is:     (to 2 decimals) The p-value is:         (to 4 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
icon
Related questions
icon
Concept explainers
Question
A university claims that their employment rate directly after graduation is 80%. In a sample of 700 graduates, 609 found to have gained employment directly after graduation. Test the claim that the university's employment rate after graduation is significantly different than 80% at the 0.01 significance level.

The null and alternative hypothesis would be:

 

H0:μ≥0.8H0:μ≥0.8
H1:μ<0.8H1:μ<0.8
H0:μ≤0.8H0:μ≤0.8
H1:μ>0.8H1:μ>0.8
H0:p≥0.8H0:p≥0.8
H1:p<0.8H1:p<0.8
H0:p=0.8H0:p=0.8
H1:p≠0.8H1:p≠0.8
H0:p≤0.8H0:p≤0.8
H1:p>0.8H1:p>0.8
H0:μ=0.8H0:μ=0.8
H1:μ≠0.8H1:μ≠0.8


The test is:

 

left-tailed
right-tailed
two-tailed




The test statistic is:     (to 2 decimals)

The p-value is:         (to 4 decimals)

Based on this we:
  • Reject the null hypothesis
  • Fail to reject the null hypothesis
 
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Conditional Probability, Decision Trees, and Bayes' Theorem
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
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL