Coupons. In Chicago, a survey was done to help determine if the same proportion

Question

Coupons. In Chicago, a survey was done to help determine if the same proportion of women that clip coupons is the same as for men. A random survey of 200 women shoppers indicated that 130 clipped coupons while 220 out of 400 men coupons. At alpha = 0.22, is there sufficient evidence to suggest that the proportion of couponing women is the same as the proportion of couponing men? Step 1: H_0: _____ H_a: _____ Step_2: F-stat value: _____ Step 3: F-critical value: _____ Step 4: H_0 is accepted/rejected? Step 5: Conclusion: Evidence suggests that the proportions are the same. YES or NO (circle one)

Explanation / Answer

The question although seems like what we might call a test for proportions in which

H0 : Proportion of couponing males is same as the proportion of couponing females

Ha : Proportions are not equal

In this case however we do not use a Fstatitisctics

Note : An F statistics is used to test for the variances (and more generally the means) of two groups and not proportions

The test for proportions is carried out with the help of a Z- test (Where z is a standard normal statististic)

In this case the

Z-statististic (and not F statistics) = (P1-P2) /{P(1-P)((1/n1)+(1/n2))}

where P1 = Proportion of couponing females

P2= Proportion of couponing males

P= (No. couponing males +No.couponing females)/(No of males+No.of females)

The crictical value to be checked against is . z=>alpha/2 and z<= -(alpha)/2

Reject H0 if the above critical values are agreed upon

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---