A newspaper conducted a statewide survey concerning a proposal to raise taxes in order to prevent budget cuts to education. The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes. Let p represent the proportion of registered voters in the state that would vote to raise taxes. 1. A 90% confidence interval for p is:

a. 0.483 ± 0.014.
b. 0.483 ± 0.024.
c. 0.483 ± 0.028.
d. 0.483 ± 0.249.

2. How large a sample n would you need to estimate p with margin of error 0.01 with 95% confidence? Use the guess p* = 0.5 as the value for p.

a. n = 49
b. n = 1500
c. n = 4800
d. n = 9604

3. Let p be the proportion of citizens in the city opposed to the ban on smoking in public places. To determine if the majority of citizens in the city oppose the ban on smoking in public places,

a. test the hypotheses H0: p = 0.50, Ha: p 0.50.
b. test the hypotheses H0: p = 0.50, Ha: p > 0.50.
c. test the hypotheses H0: p = 0.77, Ha: p > 0.77.
d. none of the above.

Mindy bought 5/8 pound of almonds and a 3/4 pound of walnuts.which pair of fraction cannot be used to find how many pounds of nuts she bought in all.

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.

The product of sin 30 degrees and sin 60 degrees is same as the product of