A two-sample z-test for two population proportions is to be performed using the P-value approach. The null hypothesis is and the alternative is . Use the given sample data to find the P-value for the hypothesis test. Give an interpretation of the p-value.

A poll reported that 30% of 60 Canadians between the ages of 25 and 29 had started saving money for retirement. Of the 40 Canadians surveyed between the ages of 21 and 24, 25% had started saving for retirement.

A: P-value = 0.5824; There is about a 58.24% chance that the two proportions are equal.

B: P-value = 0.1812; If there is no difference in the proportions, there is about a 18.12% chance of seeing the observed difference or larger by natural sampling variation.

C: P-value = 0.2912; There is about a 24.96% chance that the two proportions are equal.

D: P-value = 0.2912; If there is no difference in the proportions, there is about a 24.96% chance of seeing the exact observed difference by natural sampling variation.

E: P-value = 0.5824; If there is no difference in the proportions, there is about a 58.24% chance of seeing the observed difference or larger by natural sampling variation.

Which answer is the solution set to the inequality |x|< 9? a. x< -9 or x> 9 b. x> -9 and x< 9 c. x> -9 or x< 9 d. x< 9 and x< 9

Cone w has a radius of 8 cm and a height of 5 cm. square pyramid x has the same base area and height as cone w. paul and manuel disagree on how the volumes of cone w and square pyramid x are related. examine their arguments. which statement explains whose argument is correct and why? paul manuel the volume of square pyramid x is equal to the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is three times the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. paul's argument is correct; manuel used the incorrect formula to find the volume of square pyramid x. paul's argument is correct; manuel used the incorrect base area to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect formula to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect base area to find the volume of square pyramid x.

If a runner who runs at a constant speed of p miles per hour runs a mile in exactly p minutes what is the integer closest to the value p