A researcher claims the proportion of auto accidents that involve teenage drivers is less than20%. ABC Insurance Company checks police records on 200 randomly selected autoaccidents and notes that teenagers were at the wheel in 32 of them.Assume the company wants to use a 0.05 significance level to test the researcher's claim.
(a) Identify the null hypothesis and the alternative hypothesis.STAT 200: Introduction to Statistics Final Examination, Spring 2017 OL2 Page 6 of 8
(b) Determine the test statistic. Show all work; writing the correct test statistic, without supportingwork, will receive no credit.
(c) Determine the P-value for this test. Show all work; writing the correct P-value, withoutsupporting work, will receive no credit.
(d) Is there sufficient evidence to support the researcher's claim that the proportion of auto accidents thatinvolve teenage drivers is less than 20%? Explain
The UMUC MiniMart sells five different types of mugs. The manager reports that the fivetypes are equally popular. Suppose that a sample of 500 purchases yields observed counts of105, 110, 85, 110, and 90 for types 1, 2, 3, 4, and 5, respectively. Use a 0.05 significance levelto test the claim that the five types are equally popular. Show all work and justify your answer.
Type 1 2 3 4 5
Number of Mugs 105 110 85 110 90
(a) Identify the null hypothesis and the alternative hypothesis.
(b) Determine the test statistic. Show all work; writing the correct test statistic, without supportingwork, will receive no credit.
(c) Determine the P-value. Show all work; writing the correct P-value, without supporting work,will receive no credit.(d) Is there sufficient evidence to support the manager's claim that the five types of mugs areequally popular? Justify your answer.
A STAT 200 instructor believes that the average quiz score is a good predictor of final examscore. A random sample of 10 students produced the following data where x is the average quizscore and y is the final exam score.
x 80 93 50 60 100 40 85 70 75 85
y 70 95 50 68 96 35 83 60 77 87
(a) Find an equation of the least squares regression line. Show all work; writing the correctequation, without supporting work, will receive no credit.
(b) Based on the equation from part (a), what is the predicted final exam score if the average quizscore is 90? Show all work and justify your answer.
0. A study of 5 different weight loss programs involved 200 subjects. Each of the 5 programs had40 subjects in it. The subjects were followed for 12 months. Weight change for each subject wasrecorded. We want to test the claim that the mean weight loss is the same for the 5 programs.
(a) Complete the following ANOVA table with sum of squares, degrees of freedom, and meansquare (Show all work):
Source of Variation Sum of Squares(SS )Degrees of Freedom(df) Mean Square(MS)
Factor(Between) 27.82
Error(Within)
Total 543.05 199 N/A
(b) Determine the test statistic. Show all work; writing the correct test statistic, without supportingwork, will receive no credit.
(c) Determine the P-value. Show all work; writing the correct P-value, without supporting work,will receive no credit.
(d) Is there sufficient evidence to support the claim that the mean weight loss is the same for the 5programs at the significance level of 0.05? Explain.