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.

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ISBN:9781305652231
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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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
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