“Made in the USA” survey. Refer to the Journal of Global Business (Spring 2002) study of what “Made in the USA”on product labels means to the typical consumer, presented. Recall that 106 shoppers participatedin the survey. Their responses, given as a percentageof U.S. labor and materials in four categories, are summarizedas follows: 64 shoppers responded 100%; 20 shoppersstated 75 to 99%; 18 shoppers stated 50 to 74%; and 4shoppers said less than 50%. Suppose a consumer advocategroup claims that half of all consumers believe that“Made in the USA” means “100%” of labor and materialsare produced in the United States, one-fourth believe that“75 to 99%” are produced in the United States, one-fifthbelieve that “50 to 74%” are produced in the United States,and 5 percent believe that “less than 50%” are produced inthe United States.
a. Describe the qualitative variable of interest in the study. Give the levels (categories) associated with the variable.
b. What are the values of p1, p2, p3, and p4, the probabilities associated with the four response categories hypothesized by the consumer advocate group?
c. Give the null and alternative hypotheses for testing the consumer advocate group’s claim.
d. Compute the test statistic for testing the hypotheses stated in part c.
e. Find the rejection region of the test at α = .10.
f. State the conclusion in the words of the problem.
g. Find and interpret a 90% confidence interval for the true proportion of consumers who believe that “Made in the USA” means that “100%” of labor and materials are produced in the United States.
Based on “‘Made in the USA’: Consumer perceptions, deception and policy alternatives.” Journal of Global Business, Vol. 13, No. 24, Spring 2002.
Results of Voter Preference Survey
Candidate | ||
1 | 2 | 3 |
61 votes | 53 votes | 36 votes |
Achievement test scores. The distribution of scores on a nationally administered college achievement test has a median of 520 and a mean of 540.
a. Explain why it is possible for the mean to exceed the median for this distribution of measurements.
b. Suppose you are told that the 90th percentile is 660. What does this mean?
c. Suppose you are told that you scored at the 94th percentile. Interpret this statement.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.