3.(part 2)

1. The university system boasts that over 70% of its administrators have masters degrees. Provide the formal null and alternative hypotheses for a test of this question. Is this a one or two-tailed hypothesis?
2. Do you have a large enough sample to conduct the correct hypothesis test? Explain with a calculation why or why not.
3. If your answer to part h is yes, then conduct this hypothesis test based on the 95% significance level. Do you reject or fail to reject your null hypothesis? Why?

These data from a random sample of size 20 describe salaries and status of whether or not administrators in the university system have master's degrees 1 2 1 4 5 1 1 1 7 8 9 1 0 A B Salary (9) Master's Degree (1 = Yes) 100000 76000 0 97200 90700 101800 88700 0 84200 0 97600 87200 0 84300 0 78700 0 102700 103400 0 83800 0 111300 81500 72200 0 85400 61500 0 99900 1 2 1 4. 1 1 _7 8 1 9 20 1 22 These data from a random sample of size 20 describe salaries and status of whether or not administrators in the university system have master's degrees 1 2 1 4 5 1 1 1 7 8 9 1 0 A B Salary (9) Master's Degree (1 = Yes) 100000 76000 0 97200 90700 101800 88700 0 84200 0 97600 87200 0 84300 0 78700 0 102700 103400 0 83800 0 111300 81500 72200 0 85400 61500 0 99900 1 2 1 4. 1 1 _7 8 1 9 20 1 22