Activity 3: Hypothesis TestsObtain the data for this activity on the website. When you click the link, the data should open up automatically in Minitab.1. The first column of the data gives observations on the breakdown voltage (kV) fora particular insulating liquid. Suppose we want to test whether the mean breakdown voltage for this insulating liquid is more than 53 kV. a) What are the null and alternative hypotheses?b) Define the parameter (the one in your hypotheses above) in words. Hint: The answer already appears somewhere above on this page.c) Perform the rest of the steps of the hypothesis test by hand using α=.05. Do you reject the null hypothesis? To obtain the summary statistics that you need, go to Stat > Basic Statistics > Display Descriptive Statistics…. Enter Breakdown Voltage as the variable. Use the summary statistics to perform the hypothesis test (Case II in Section 8.2). SHOW YOUR WORK!d) Now read the following definition, the gist of which you should memorize before the next exam:The p-value is the probability, calculated assuming H0 is true, of obtaining a test statistic at least as supportive of Ha as the statistic actually observed.In this case, your Z test statistic should be standard normal assuming H0 is true. Therefore (because Ha uses >), you just need to find the probability thata standard normal variable would be greater than your observed z statistic. Find this p-value by hand, explaining your work:d) Now check your work in Minitab. Go to Stat > Basic Statistics > 1 Sample t… Enter Breakdown Voltage as the variable and 53 as the ‘test mean’. Under ‘Options’, adjust the alternative to match your answer to part (a). Copy and paste the p-value from Minitab. (Note: This value willnot match exactly what you calculated by hand (for various reasons) but it should be close.)e) Read the alternative definition of p-value at the bottom of p. 346. How can you tell at a glance, by looking at your p-value, whether to reject H0 using α=.05? Would you have rejected using α=.01? Why or why not?2. The second column of the data gives responses to the question, “Are you a member of a fraternity or sorority?” The question was answered by a sample of PSU students. Assuming this is a random sample of students, we want to test whether the percentage of PSU students who are part of the Greek system is different than 20%.a) What are the appropriate null and alternative hypotheses?b) Define the parameter (the one in your hypotheses above) in words. Again,it’s written somewhere above.c) Perform the rest of the steps of the hypothesis test by hand and obtain a p-value. SHOW YOUR WORK! (You can obtain the info you need by selecting Stat > Tables > Tally….) You should also know that all tests of proportions use Z statistics as long as np0≥10 and n(1-p0) ≥10 and that the formula for Z appears on p. 340 of the textbook.Note in this case that your alternative is 2-tailed, which means that your p-value should be the probability that a standard normal variable is less than the observed z OR greater than –z. (in other words, by symmetry, you’ll need to multiply by two after you use Table A.3.)d) Now check your work in Minitab. Go to Stat > Basic Statistics > 1 – Proportion… and enter “Greek?” as the variable. Under ‘Options’, make sure to choose the appropriate alternative and null value. Check the box beside ‘Use test and interval based on normal distribution’. Report the teststatistic and