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The magazine Tech Worx reported that 87% 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, 179 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 87%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H₁: H☐ 0<0 0<0 0$0 020_0=0_00 (b) For your hypothesis test, you will use a Z-test. Find the values of p and (1-p) to confirm that a Z-test can be used. (One standard is that up ≥ 10 and (1-p) ≥10 under the assumption that the null hypothesis is true.) Here is the sample size and is the population proportion you are testing. xp= n(1-p)= (c) Perform a Z-test. Here is some information to help you with your Z-test. ⚫ns is the value that cuts off an area of 0.05 in the right tail of the distribution. The value of the test statistic is given by I= P-P 2(1-2) 12 Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-taled ○ Two-tailed Step 2: Enter the critical value(s). (Round to 3 3 decimal places.) Step 3: Enter the test statistic. (Round to 3 decimal places.) est (d) Based on your answer to part (c), choose what can be concluded, at the 0.10 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 87%.

The magazine Tech Worx reported that 87% 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, 179 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 87%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H₁: H☐ 0<0 0<0 0$0 020_0=0_00 (b) For your hypothesis test, you will use a Z-test. Find the values of p and (1-p) to confirm that a Z-test can be used. (One standard is that up ≥ 10 and (1-p) ≥10 under the assumption that the null hypothesis is true.) Here is the sample size and is the population proportion you are testing. xp= n(1-p)= (c) Perform a Z-test. Here is some information to help you with your Z-test. ⚫ns is the value that cuts off an area of 0.05 in the right tail of the distribution. The value of the test statistic is given by I= P-P 2(1-2) 12 Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-taled ○ Two-tailed Step 2: Enter the critical value(s). (Round to 3 3 decimal places.) Step 3: Enter the test statistic. (Round to 3 decimal places.) est (d) Based on your answer to part (c), choose what can be concluded, at the 0.10 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 87%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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The magazine Tech Worx reported that 87% 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, 179 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 87%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H₁: H☐ 0<0 0<0 0$0 020_0=0_00 (b) For your hypothesis test, you will use a Z-test. Find the values of p and (1-p) to confirm that a Z-test can be used. (One standard is that up ≥ 10 and (1-p) ≥10 under the assumption that the null hypothesis is true.) Here is the sample size and is the population proportion you are testing. xp= n(1-p)= (c) Perform a Z-test. Here is some information to help you with your Z-test. ⚫ns is the value that cuts off an area of 0.05 in the right tail of the distribution. The value of the test statistic is given by I= P-P 2(1-2) 12 Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-taled ○ Two-tailed Step 2: Enter the critical value(s). (Round to 3 3 decimal places.) Step 3: Enter the test statistic. (Round to 3 decimal places.) est (d) Based on your answer to part (c), choose what can be concluded, at the 0.10 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 87%.
Transcribed Image Text:The magazine Tech Worx reported that 87% 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, 179 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 87%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H₁: H☐ 0<0 0<0 0$0 020_0=0_00 (b) For your hypothesis test, you will use a Z-test. Find the values of p and (1-p) to confirm that a Z-test can be used. (One standard is that up ≥ 10 and (1-p) ≥10 under the assumption that the null hypothesis is true.) Here is the sample size and is the population proportion you are testing. xp= n(1-p)= (c) Perform a Z-test. Here is some information to help you with your Z-test. ⚫ns is the value that cuts off an area of 0.05 in the right tail of the distribution. The value of the test statistic is given by I= P-P 2(1-2) 12 Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-taled ○ Two-tailed Step 2: Enter the critical value(s). (Round to 3 3 decimal places.) Step 3: Enter the test statistic. (Round to 3 decimal places.) est (d) Based on your answer to part (c), choose what can be concluded, at the 0.10 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 87%.
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