1. Samples of sizes 100 and 80 of calculus students were acquired. The students in the first sample got into calculus by passing the pre-calculus course. Those in the second sample got in by getting a passing score on a placement test. In the first group, 65 succeeded in calculus. In the second group, 41 succeeded. Without using R find a 95% confidence interval for the difference in the success rates of the two populations. 2. For the same data, find the p-value for a test of the alternative hypothesis that the two success rates are not equal without using R.
3. Repeat problems 5 and 6 using R.