A recent study of gender preferences among car shoppers found that men and women equally favor economy cars. A marketing analyst doubts these results. He believes that a person’s gender influences whether or not he/she purchases an economy car. He collects data on 400 recent car purchases cross-classified by gender and type of car (economy car versus noneconomycar). The results are shown as follows: ECONOMY CAR NON-ECONOMY CAR FEMALE 60 60 MALE 120 170 a. State null and alternative hypotheses to determine whether the sample data support the marketing analyst’s claim. b. What are expected frequencies for each item? c. At the 10% significance level, what is the degree of freedom? What is the value of the test statistic? What is the critical value? Using the critical value approach, what is your conclusion? Interpret.
A recent study of gender preferences among car shoppers found that men and women equally favor economy cars. A marketing analyst doubts these results. He believes that a person’s gender influences whether or not he/she purchases an economy car. He collects data on 400 recent car purchases cross-classified by gender and type of car (economy car versus noneconomy
car). The results are shown as follows:
| ECONOMY CAR | NON-ECONOMY CAR | |
| FEMALE | 60 | 60 |
| MALE | 120 | 170 |
a. State null and alternative hypotheses to determine whether the sample data support the marketing analyst’s claim.
b. What are expected frequencies for each item?
c. At the 10% significance level, what is the degree of freedom? What is the value of the test statistic? What is the critical value? Using the critical value approach, what is your conclusion? Interpret.
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