Please answer B-D and include FOUR decimal places! ### Problem 2: Hypothesis Testing for Smoking RatesBased on past data, it is known that about 20.5% of people smoke cigarettes. Suppose we take a sample of 100 people currently and find that only 12% smoke cigarettes. We want to see if there is evidence that the percentage of people who smoke cigarettes is decreasing.#### Questions:a. **Sample Size for Margin of Error:** - If I wanted to control my margin of error and set it to 3% with 99% confidence, what sample size would I need to take instead of the 100?b. **99% Confidence Interval:** - Using my original sample size of 100, what would be the 99% confidence interval for the population proportion?c. **Hypotheses:** - What are the null and alternative hypotheses?d. **Critical Value:** - What is the critical value at 99% confidence?e. **Test Statistic:** - Calculate the test statistic (using the sample of 100).f. **P-value:** - Find the p-value.g. **Conclusion:** - What conclusion would be made here at the 99% confidence level?This exercise involves understanding statistical concepts such as confidence intervals, hypothesis testing, and calculating test statistics and p-values based on sample data.

Name: Please answer B-D and include FOUR decimal places! ### Problem 2: Hypo
Uploaded: 2024-03-20T06:46:03.000Z
Channel: Bartleby
Description: Please answer B-D and include FOUR decimal places! ### Problem 2: Hypothesis Testing for Smoking RatesBased on past data, it is known that about 20.5% of people smoke cigarettes. Suppose we take a sample of 100 people currently and find that only 12%