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The magazine Tech Worx reported that 88% 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 210 randomly chosen software engineers, 186 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 0.05 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 88%.

The magazine Tech Worx reported that 88% 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 210 randomly chosen software engineers, 186 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 0.05 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 88%.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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0.1+ Enter the test statistic. St (Round to 3 decimal places.) -3 -2 -1 1 3. s ? (d) Based on your answer to part (c), choose what can be concluded, at the 0.05 level of significance, about your claim. O Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence to support the claim that the percentage of software engineers who rate the company they work for as "a great place to work" is not 88%. O Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the percentage of software engineers who rate the company they work for as "a great place to work" is not 88%. O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there is enough evidence to support the claim that the percentage of software engineers who rate the company they work for as "a great place to work" is not 88%. Since the value of the test statistic doesn't lie in the reiection reaion. the null hvpothesis is not reiected. So, there is
Transcribed Image Text:0.1+ Enter the test statistic. St (Round to 3 decimal places.) -3 -2 -1 1 3. s ? (d) Based on your answer to part (c), choose what can be concluded, at the 0.05 level of significance, about your claim. O Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence to support the claim that the percentage of software engineers who rate the company they work for as "a great place to work" is not 88%. O Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the percentage of software engineers who rate the company they work for as "a great place to work" is not 88%. O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there is enough evidence to support the claim that the percentage of software engineers who rate the company they work for as "a great place to work" is not 88%. Since the value of the test statistic doesn't lie in the reiection reaion. the null hvpothesis is not reiected. So, there is
The magazine Tech Worx reported that 88% 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 210 randomly chosen software engineers, 186 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 0.05 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 88%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H: I (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 2 10 and n(1-p) > l0 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing.
Transcribed Image Text:The magazine Tech Worx reported that 88% 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 210 randomly chosen software engineers, 186 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 0.05 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 88%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H: I (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 2 10 and n(1-p) > l0 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing.
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