Discuss the following:
A) State the hypotheses and identify the claim
B) Find the critical value(s)
C) Compute the test value
D) Make the decision
E) Summarize the results
Use the traditional method of hypothesis testing.
Q1: A researcher reads that the marital status of U.S. adults is distributed as follows: marries, 60%; single, 24%; divorced,10%; widowed 6%. She selects a sample of 150 people, and the results are shown. At alpha = 0.05, test the claim that shoppers have no preference. Give one example of how retail merchants would be able to use the numbers in this study.
Marital Status Married Single Divorced Widowed
Number 72 42 21 15
Q2: A car manufacturer wishes to determine whether the type of car purchased is related to the individual's gender. The data obtained from a sample are shown here. At alpha = 0.011, is the gender of the purchaser related to the type of car purchased?
Gender of purchaser Sedan Compact Station Wagon SUV
Male 33 27 23 17
Female 21 34 41 18
Q3: A researcher surveyed 50 randomly selected males and 50 randomly selected females to see how they paid their bills. The data are shown. At alpha = 0.01, test the claim that the proportions are not equal. What might be a reason for the difference, if one exists?
Type of payment Checks Electronically In person
Males 27 15 8
Females 22 19 9
Total 49 34 17