To do so you randomly surveyed 1000 men and 1200 women. 100 men responded that they were members of the Tea Party. 95 women responded that they were members of the Tea Party. Find the two-tailed p-value for this hypothesis test.

The two-tailed p-value for the hypothesis test is 0.101.

Step-by-step explanation:

Test statistic (z) = (p1 - p2) ÷ sqrt[p(1-p)(1/n1 + 1/n2)]

p1 is sample proportion of men = 100/1000 = 0.1

p2 is sample proportion of women = 95/1200 = 0.08

n1 is sample size of men = 1000

n2 is sample size of women = 1200

p is pooled proportion of men and women = (n1p1 + n2p2) ÷ (n1 + n2) = (1000×0.1 + 1200×0.08) ÷ (1000 + 1200) = 0.089

z = (0.1 - 0.08) ÷ sqrt[0.089(1-0.089)(1/1000 + 1/1200)] = 0.02 ÷ 0.0122 = 1.64

The cumulative area of test y is obtained from the normal distribution table by taking the value of 1.6 under 0.04. The value of the cumulative area is 0.9495

Two-tailed p-value = 2(1 - 0.9495) = 2×0.0505 = 0.101

yes the data was not prsented

step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.