mathematics 1

mathematics 1. 1.ÿ A researcher claims that 62% of voters favor gun control.ÿÿState the null hypothesis and the alternative hypothesis in words.Solution:Instructor Comments:2.ÿ A researcher claims that 62% of voters favor gun control.ÿ Identify the null hypothesis H0 and the alternative hypothesis H1 using p.Solution:Instructor Comments:3.ÿ Carter Motor Company claims that its new sedan, the Libra, will average better than 30 miles per gallon in the city.ÿ Identify the type I error of the test.ÿSolution:Instructor Comments:4. A medical school claims that more than 28% of its students plan to go into general practice.ÿ It is found that among a random sample of 130 students, 32% of them plan to go into general practice.ÿ Find the p-value for a test of the school?s claim.ÿSolution:Instructor Comments:5. Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution or neither.ÿ The sample data appear to come from a normally distributed population with ?ÿ=ÿ28.Claim:ÿ ? = 977.Sample data: n = 25, = 984, s = 25.ÿ Explain.Solution:Instructor Comments:6.ÿ Among those who file tax returns, less than one-half file than through an accountant or other tax professional.ÿ A Fellowes survey of 1002 people who file tax returns showed that 48% of them file through an accountant or other tax professional.ÿ Find the value of the test statistic.Solution:Instructor Comments:7. ÿIn 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%. There are four steps to this problem. First, Identify the null and alternative hypotheses.Solution:Instructor Comments:8. (Refer to problem 7). Find the test statistic.Solution:Instructor Comments:9. (Refer to problems 7 and 8). 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 problems 7, 8, and 9). State the conclusion in non-technical terms.Solution:Instructor Comments:

mathematics 1


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