A large retailer observes the percentage of customers who leave its stores with a purchase. It would like to investigate if the percentage of women who leave the store with a purchase is lower than the percentage of men. In a random sample of 160 femaleshoppers, 149 left the store with a purchase. In a random sample of 140 maleshoppers, 136 left the store with a purchase.

a. Perform a hypothesis test with =0.10 to determine if the percentage of women who leave the store with a purchase is lower than the percentage of men. Let population 1 be women and population 2 be men.

The correct null and alternativehypotheses

H₀: p₁p₂0

H₁: p₁p₂<0

What is the teststatistic?

z_p=

(Round to two decimal places asneeded.)