A human resources representative claims that the proportion of employees earning more than $50,000 is less than 40%. To test this claim, a random sample of 700 employees is taken and 305 employees are determined to earn more than $50,000. The following is the setup for this hypothesis test: H0:p=0.40 Ha:p<0.40 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places. The following table can be utilized which provides areas under the Standard Normal Curve:   z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 1.5 0.933 0.934 0.936 0.937 0.938 0.939 0.941 0.942 0.943 0.944 1.6 0.945 0.946 0.947 0.948 0.949 0.951 0.952 0.953 0.954 0.954 1.7 0.955 0.956 0.957 0.958 0.959 0.960 0.961 0.962 0.962 0.963 1.8 0.964 0.965 0.966 0.966 0.967 0.968 0.969 0.969 0.970 0.971 1.9 0.971 0.972 0.973 0.973 0.974 0.974 0.975 0.976 0.976 0.977 2.0 0.977 0.978 0.978 0.979 0.979 0.980 0.980 0.981 0.981 0.982

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
100%

A human resources representative claims that the proportion of employees earning more than $50,000 is less than 40%. To test this claim, a random sample of 700 employees is taken and 305 employees are determined to earn more than $50,000.

The following is the setup for this hypothesis test:

H0:p=0.40

Ha:p<0.40

Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.

The following table can be utilized which provides areas under the Standard Normal Curve:

 

z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
1.5 0.933 0.934 0.936 0.937 0.938 0.939 0.941 0.942 0.943 0.944
1.6 0.945 0.946 0.947 0.948 0.949 0.951 0.952 0.953 0.954 0.954
1.7 0.955 0.956 0.957 0.958 0.959 0.960 0.961 0.962 0.962 0.963
1.8 0.964 0.965 0.966 0.966 0.967 0.968 0.969 0.969 0.970 0.971
1.9 0.971 0.972 0.973 0.973 0.974 0.974 0.975 0.976 0.976 0.977
2.0 0.977 0.978 0.978 0.979 0.979 0.980 0.980 0.981 0.981 0.982
Expert Solution
trending now

Trending now

This is a popular solution!

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