Es v 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 215 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 88%. (a) State the null hypothesis Ho and the alternative hypothesis /, that you would use for the test. Ho: 020 0-0 0-0 (b) For your hypothesis test, you will use a Z-test. Find the values of mp and " (1-p) to confirm that a Z-test can be used. (One standard is that mp 2 10 and n (1-p) 2 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 = x ? " (1-p)-0 (c) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. The value of the test statistic is given by PP P (1-P) The p-value is two times the area under the curve to the left of the value of the test statistic. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. o One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. -2 Step 4: Enter the p- value. (Round to 3 decimal places.) 3 X ? (d) Based on your answer to part (c), choose what can be concluded, at the 0.10 level of significance, about your claim. X ? Since the p-value is less than (or equal to) the level of significance, 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 p-value is less than (or equal to) the level of significance, 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%. Since the p-value is greater than the level of significance, 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 p-value is greater than the level of significance, 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
