A market researcher for an automobile company suspects differences in preferred

Question

A market researcher for an automobile company suspects differences in preferred color between male and female buyers. Advertisements targeted to different groups should take such differences into account, if they exist. The researcher examines the most recent sales information of a particular car that comes in three colors. Use Table Gender of Automobile Buyer Color Silver Black Red Male 451 453 465 Female 351 467 460 a. Choose the competing hypotheses to determine whether color preference depends on gender. Ho: Color preference is independent of gender, HA: Color preference is dependent on gender Ho: Color preference is dependent on gender; HA: Color preference is independent of gender b. Find the critical value at the 10.0% significance level. (Round your answer to 2 decimal places.) Critical value c. Calculate the value of the test statistic. (Round the intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) lest statistic d-1. What is the conclusion? Do not reject Ho; there is not enough evidence to support the claim that color preference is not independent. Reject Ho, there is not enough evidence to support the claim that color preference is not independent. Do not reject Ho; there is enough evidence to support the claim that color preference is not independent. Reject Ho; there is enough evidence to support the claim that color preference is not independent. d-2. Does your conclusion suggest that the company should target advertisements differently for males versus females? 0 Yes

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: Color
Columns: None

Chi-Square test:

Hence,

Hypotheses:

Ho: The color preference is independent of gender.

Ha: The color preference is dependent on gender.

b) Critical value = 4.61

c) Test statistic = 9.59

d - 1) Option B is correct.

d - 2) Yes

Male Female Total Silver 451 351 802 Black 453 467 920 Red 465 460 925 Total 1369 1278 2647

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.