Module 4 Homework Assignment 1. A researcher claims that 62% of voters favor gun control. Identify the null hypothesis and alternative hypothesis in words. Solution: Instructor Comments: 2. A researcher claims that 62% of voters favor gun control. Identify the null hypothesis H0 and the alternative hypothesis H1 using p. Solution: Instructor Comments: 3. Carter Motor Company claims that its new sedan, the Libra, will average better than 30 miles per gallon in the city. Identify the type I error of the test. Solution: Instructor Comments: 4. A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 students, 32% of them plan to go into general practice. Find the pvalue for a test of the school's claim. Solution: Instructor Comments: 5. Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution or neither. The sample data appear to come from a normally distributed population with = 28. Claim: = 977. Sample data: n = 25, Solution: = 984, s = 25. Explain. Instructor Comments: 6. Among those who file tax returns, less than one-half file than through an accountant or other tax professional. A Fellowes survey of 1002 people who file tax returns showed that 48% of them file through an accountant or other tax professional. Find the value of the test statistic. Solution: Instructor Comments: 7. In a sample of 100 M&M's, it is found that 8% are brown. Use a 0.05 significance level to test the claim that of the Mars candy company that the percentage of brown M&M's is equal to 13%. Identify the null and alternative hypotheses. Solution: Instructor Comments: 8. (Refer to problem 7) Find the test statistic. Solution: Instructor Comments: 9. (Refer to problem 7) Use the Standard Normal Table to find the p-value, critical value(s) and state the decision about the null hypothesis. Solution: Instructor Comments: 10. (Refer to problem 7) State the conclusion in non-technical terms. Solution: Instructor Comments