Question

Use the contingency table you constructed in Module 2 to determine if there is evidence of a significant difference between proportions of males and females who enjoy shopping for clothing at the 0.01 level of significance. Determine the p-value in (a) and interpret its meaning.

Female 224 36 260 Likes to Shop Yes Male Total 136 104 240 360 140 500 Total if there is evidence of a significant difference between proportions of males and females who enjoy shopping for clothing at the 0.01 level of significance Expected Frequecies Female Male Total 172.8 67.2 240 Yes 187.2 72.8 260 360 140 500 Total Data evel of Significance Number of Rows Number of Columns Degrees of Freedom 0.01 Results Critcal Value 6.6348966 Ch-squared Test Stat 53.8250729 2.1908E-13 p-value

Answer 1

calculated p-value is 2.1908E-13

H0: There is no significant difference between proportions of males and females who enjoy shopping for clothing

H1: There is significant difference between proportions of males and females who enjoy shopping for clothing

We are doing hypothesis testing with 99% confidence ($\alpha$ = 0.01).

But the calculated p-value < 0.01 which means that we reject the null hypothesis and conclude that There is significant difference between proportions of males and females who enjoy shopping for clothing.

** If any confusion please comment.