The magazine Tech Worx reported that 91% of software engineers rate the company they work for as "a great place to work." As a veteran headhunter, you claim the percentage given in the report is not correct. In a survey of 220 randomly chosen software engineers, 210 rated the company they work for as "a great place to work." Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to support your claim that the proportion, p, of all software engineers who rate the company they work for as "a great place to work" is not 91%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. Ho: p = 0.91 OSO H1: p ± 0.91 D=D ? (b) For your hypothesis test, you will use a Z-test. Find the values of np and n (1-p) to confirm that a Z-test can be used. (One standard is that np>10 and n(1-p)>10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing. np=] п (1-р) -О (c) Perform a Z-test. Here is some information to help you with your Z-test. • z0 os is the value that cuts off an area of 0.05 in the right tail of the distribution.

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

I attached photos of the problem.

O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING
Julia v
Introduction to hypothesis tests for a population proportion usin..
The magazine Tech Worx reported that 91% of software engineers rate the company they work for as "a great place to work." As a veteran headhunter, you
claim the percentage given in the report is not correct. In a survey of 220 randomly chosen software engineers, 210 rated the company they work for as "a
great place to work."
Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to support your claim that the
proportion, p, of all software engineers who rate the company they work for as "a great place to work" is not 91%.
(a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test.
Но: р — 0.91
p
O<O
OSO
H1: p + 0.91
Aa
ロロ
(b) For your hypothesis test, you will use a Z-test. Find the values of np and n(1-p) to confirm that a Z-test can be used. (One standard is that np210 and
n(1-p) >10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing.
пр3
п (1-р) -О
(c) Perform a Z-test. Here is some information to help you with your Z-test.
• Zo os is the value that cuts off an area of 0.05 in the right tail of the distribution.
Explanation
Check
© 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use | Privacy | Accessibility
Transcribed Image Text:O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Julia v Introduction to hypothesis tests for a population proportion usin.. The magazine Tech Worx reported that 91% of software engineers rate the company they work for as "a great place to work." As a veteran headhunter, you claim the percentage given in the report is not correct. In a survey of 220 randomly chosen software engineers, 210 rated the company they work for as "a great place to work." Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to support your claim that the proportion, p, of all software engineers who rate the company they work for as "a great place to work" is not 91%. (a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test. Но: р — 0.91 p O<O OSO H1: p + 0.91 Aa ロロ (b) For your hypothesis test, you will use a Z-test. Find the values of np and n(1-p) to confirm that a Z-test can be used. (One standard is that np210 and n(1-p) >10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing. пр3 п (1-р) -О (c) Perform a Z-test. Here is some information to help you with your Z-test. • Zo os is the value that cuts off an area of 0.05 in the right tail of the distribution. Explanation Check © 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use | Privacy | Accessibility
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Paths and Circuits
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
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