The magazine Tech Worx reported that 92% 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, 207 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 92%. (a) State the null hypothesis HD and the alternative hypothesis Hl that you would use for the test. Hy: I | P P = Hl : = = = X 9 (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. e n(l-p)= - (c) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. Ea p-p 1-p) n + The p-value is two times the area under the curve to the right of the value of the test statistic. * The value of the test statistic is given by Standard Mormal 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.) L] Step 3: Shade the area represented by the p-value.