In: Statistics and Probability
6. Research Question: Is there a higher percentage of Christians among CSU students than among USC students?
To test this I set up the hypothesis test
H0 : pCSU = pUSC Ha : pCSU > pUSC
This test gave a p-value of 0.023.
(a) Give your conclusion in context for this test using α = 0.05. (Your conclusion should be written so that a lay person could understand.)
(b) Give your conclusion in context for this test using α = 0.01. (Your conclusion should be written so that a lay person could understand.)
(c) Using the same sample data as in the hypothesis test, would a 95% confidence interval for pCSU − pUSC include the value 0? Explain.
Suppose someone you know and their spouse has been trying to start a family for a couple of years. The wife thinks she may be pregnant, so there will be a pregnancy test. Suppose the test has the hypotheses
H0 : Wife is pregnant.
Ha : Wife is not pregnant. (
(d) What are the consequences of making a Type I error?
(e) What are the consequences of making a Type II error?