Module 4 Statistics questions and answers

Module 4 Homework Assignment                                  

1.  A researcher claims that 62% of voters favor gun control.  Identify the null hypothesis and alternative hypothesis in words.

2.  A researcher claims that 62% of voters favor gun control.  Identify the null hypothesis H₀ and the alternative hypothesis H₁ using p.

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. 

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 p-value for a test of the school’s claim. 

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 σ = 28.

Claim:  μ = 977.

Sample data: n = 25,  = 984, s = 25.  Explain.

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.

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.

8. (Refer to problem 7) Find the test statistic.

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.

10. (Refer to problem 7) State the conclusion in non-technical terms.