This homework assignment analyzes data from a smoking cessation trial involving 400 individuals. The solution calculates key statistical measures, including the proportion of successful quitters, the proportion of unsuccessful quitters, and verifies the applicability of the normal distribution. It estimates the population proportion, calculates the standard error and constructs a 95% confidence interval for the proportion estimate. The solution also provides an interpretation of the confidence interval. Furthermore, the assignment explores hypothesis testing, including null and alternative hypotheses, computation of the test statistic, determination of critical values, and calculation of the p-value. Decisions regarding the null hypothesis are made based on the p-value and the confidence interval. The assignment considers both two-tailed and directional hypothesis tests, and discusses the implications of these tests, including Type I errors and statistical power. Finally, the solution concludes by interpreting the results and drawing conclusions based on the statistical analyses performed.