Solve the following problems following the sequential steps of hypothesis testing. 1. In a recent CPA Board Examination, 60 out of 80 students from St. Michaels College of Accountancy and 72 out of 98 students of St. Peters College of Accountancy passed. Are the students of St. Michaels better than the students of St. Peters? Use 5% level of significance.

Using 1% for the significance level, find the conclusion of this hypothesis testing in words using the p-value approach. Follow the questions below. 1) State the p-value and interpret the p-value in words.  2) Using the significance level and the p-value, state the conclusion of this hypothesis testing.

A curious student wants to see if she can conclude that a higherproportion of Woodland College students transfer to Sac State than Yuba College students. He samples 82 Woodland College students and finds that 23 of them transferred to Sac State. He also samples 95 Yuba college students and finds that 21 of them transferred to Sac State. What can be concluded at a 5% significance level? Use the pvalue approach.

Sierra College students enrolled in an online Elementary Statistics course were asked to participate in an anonymous onlne survey. The survey asked the students "Which type of device will you primarily use to access your online course in Canvas?". Of the 152 students who answered this question, 20 responded "a desktop computer", 121 responded "a laptop computer", 6 responded "a smartphone", and 5 responded "a tablet". The Sierra College Mathematics Department believes that less than 5% of students enrolled in an online Elementary Statistics course primarily uses a smartphone to access their online course in Canvas. Use the data collected in the survey to conduct a hypothesis testing procedure to test this belief. What conclusion should be reached according to the results of this hypothesis test?

The ages of undergraduate students at two universities (one in the east and one in the west) are being compared. Researchers want to know if there is a difference in the mean age of students at the two universities. The population standard deviations are known. The following data shows the results of samples collected at each institution: School Location n (sample size) sample mean (X ) population standard deviation West 33 25.78 6.29 East 35 23.16 7.52 What is the value of the test statistic for the previous problem? (Enter your answer as a positive value even if you calculated a negative test statistic value i.e. if you calculated -1.311 you should enter 1.311). Round your answer to 3 decimal places.