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Question 2 (Total 20 marks) An independent-samples t-test was carried out by a fashion brand, Giordano. They need to understand if the consumers' intentions to buy their products, varies with gender. Respondents were asked to rate 'Purchase Intention for Giordano', using a 7point scale (1=Very Low, 7=Very High). Results of the test are presented below: Group Statistics Std. Error Mean Purchase m- 3.57 Intention for 21 4.86 Giordano Independent Samples ttest Levene's Test for Equality of ttest for Equality of Means Variances 95% Confidence ' . Std. Error Interval of the tailed) Difference Difference Difference Equal Variances 0 066 0.798 -2 292 43 0.027 -1.190 0.519 -2.238 -0.143 Purchase assumed Intention Equal for Variances Giordano -2 297 42. 503 0.027 -1.190 0.518 -2. 236 not assumed Assuming you are a senior analyst in the marketing research department of Giordano and your manager is interested in knowing whether purchase intention differs between male and female consumers. Answer the following questions: i} Discuss why t test is relevant here. Stating the null hypothesis, explain why you would reject or accept it? (8 marks) ii) Would you use the row "Equal variances assumed" or "Equal variances not assumed"? Why? What does this signify? (4 marks)