The research department at Cuesta College would like to investigate the performance of first generation Cuesta College students and not first generation Cuesta College students in transfer level mathematics courses First generation students are students whose parents have not earned a four year college degree For their study, the research department randomly selected 50 first generation students and 60 not first generation students enrolled at Cuesta during the 2019 2020 school year and analyzed their success in completing a transfer level mathematics course 28 of the first generation students completed a transfer level mathematics course in the specified school year and 38 of the not first generation students completed a transfer level mathematics course in the specified school year 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 Check the normality condition to check that the sample sizes of each sample are large enough 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 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 Assuming that sample size (normality) condition was met in 1A, 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 State the null and alternative hypothesis State the P value State your conclusion

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The research department at Cuesta College would like to investigate the performance of first generation Cuesta College students and not first generation Cuesta College students

The research department at Cuesta College would like to investigate the performance of first generation Cuesta College students and not first generation Cuesta College students in transfer level mathematics courses.First generation students are students whose parents have not earned a four-year college degree.For their study, the research department randomly selected 50 first generation students and 60 not first generation students enrolled at Cuesta during the 2019-2020 school year and analyzed their success in completing a transfer level mathematics course.28 of the first generation students completed a transfer level mathematics course in the specified school year and 38 of the not first generation students completed a transfer level mathematics course in the specified school year.

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.
Check the normality condition to check that the sample sizes of each sample are large enough.
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.
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?

Assuming that sample size (normality) condition was met in 1A, 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.
State the null and alternative hypothesis.
State the P-value.
State your conclusion.