The retailer mentioned in problem 1 believes that the number of product by produ

Question

The retailer mentioned in problem 1 believes that the number of product by product ca independent of the gender of the customer. To test this at an alpha = .05 level, the company has randomly sampled 300 returns and constructed the following table: 2. Product Category Gender Hardware Books Clothing Total Female Male Total 40 30 70 20- 70 90 100 40 140 160 140 300 a. State the appropriate null and alternative hypothesis. b. Conduct the appropriate statistical test and state the conclusion reached based on these data.

Explanation / Answer

Null hypothesis:product category is independant of gender of customer.

Alternative hypothesis:product category is not independant of gender of customer.

Chi-Square Test: hardware, Books, Clothing

Expected counts are printed below observed counts
Chi-Square contributions are printed below expected counts

hardware Books Clothing Total
1 40 20 100 160
37.33 48.00 74.67
0.190 16.333 8.595

2 30 70 40 140
32.67 42.00 65.33
0.218 18.667 9.823

Total 70 90 140 300

Chi-Sq = 53.827, DF = 2, P-Value = 0.000

Here p-value <0.05 we reject the null hypothesis. we conclude that product category is not independant of gender of customer.

Hope this will be helpful. Thanks and God bless You;-)

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