Question

1. Open the data for Rate My Professors: RateMP.MPJ. It is claimed that 33% of the instructors in the FHDA district are from Foothill College. You want to design a test to reject this claim.
   

   1. State the null and alternative hypotheses in words.

2. State the null and alternative hypotheses in population parameters.

3. What model are you choosing and what assumptions are needed?

4. Conduct the test at a significance level of 5%, using MINITAB command
   Stat>Basic Statistics>1 Proportion. Make sure you choose options to set Ha direction. Paste the results here.

5. Do you reject or fail to reject Ho?

1. Write an appropriate conclusion in the context of this problem

Answer 1

The hypothesis being tested is:

H₀: p = 0.33

H_a: p ≠ 0.33

The normal distribution would be appropriate here.

The assumptions are:

• The sampling method is simple random sampling.
• Each sample point can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure.
• The sample includes at least 10 successes and 10 failures.
• The population size is at least 20 times as big as the sample size.

Since the data is not provided, the results cannot be generated.