1. We would look to estimate the difference between the population proportion of all first generation Cuesta College students who completed a transfer level mathematics course and the proportion not first generation Cuesta College students who completed a transfer level mathematics course for the 2019-2020 school year.
2. Check the normality condition to check that the sample sizes of each sample are large enough.
3. Find and interpret a 95% confidence interval for the difference between the population proportion of all first generation Cuesta College students who completed a transfer level mathematics course and the proportion not first generation Cuesta College students who completed a transfer level mathematics course for the 2019-2020 school year.
4. Based on the interval estimate is it plausible that the two proportions are equal? If the interval doesn't suggest, that they are equal, which of the two proportions is suggested to be larger?

1. Check the normality condition using the pooled estimation for the population proportion for both populations and use the data to test the claim that the proportion of first generation Cuesta College students who completed a transfer level mathematics course in 2019-2020 is less than the proportion of not first generation Cuesta College students who completed a transfer level mathematics course in 2019-2020 at the 5% significance level.
2. State the null and alternative hypothesis.
3. State the P-value.
4. State your conclusion.