In 2004 the testing company ACT, Inc., reported on the percentage of first-year students at four-year colleges who return for a second year. Their sam

In 2004 the testing company ACT, Inc., reported on the percentage of first-year students at four-year colleges who return for a second year. Their sample of 1139 students in private colleges showed a 74.9% retention rate, while the rate was 71.9% for the sample of 505 students at public colleges. Does this provide evidence that there?s a difference in retention rates of first-year students at public and private colleges?2. Find the test statistics.3. Find the P-value of the test.4. Are there an evidence at 10% significance level that there is a difference in retention rates of first-year students at private and public colleges?