Math 136 - Introduction to Statistics » Fall 2021 » Homework 11 Estimating The Difference of Two Population proportions
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Question #1
Choose the one alternative that best completes the statement or answers the question. Find the number of successes x suggested by the given statement. Among 660 adults selected randomly from among the residents of one town, 30.2% said that they favor stronger gun-control laws.
A.
199
B.
197
C.
200
D.
198
Question #2
Choose the one alternative that best completes the statement or answers the question. Find the number of successes x suggested by the given statement. Among 1400 randomly selected car drivers in one city, 8.29% said that they had been involved in an accident during the past year.
A.
114
B.
117
C.
116
D.
115
Question #3
Construct the indicated confidence interval for the difference between population proportions p1−p2. Assume that the samples are independent and that they have been randomly selected. x1= 22, n1= 38 and x2= 31, n2= 52; Construct a 90% confidence interval for the difference between population proportions p1−p2.
A.
0.785 < p1 - p2 < 0.373
B.
0.406 < p1 -p2 < 0.752
C.
-0.190 < p1 - p2 < 0.156
D.
0.373 < p1 - p2 < 0.785
Question #4
Construct the indicated confidence interval for the difference between population proportions p1−p2. Assume that the samples are independent and that they have been randomly selected. x1= 36, n1= 64 and x2= 47, n2= 71; Construct a 95% confidence interval for the difference between population proportions p1−p2.
A.
0.368 < p1 -p2 < 0.757
B.
-0.263 < p1 -p2 < 0.064
C.
-0.294 < p1 -p2 < 0.757
D.
0.399 < p1 -p2 < 0.726
Question #5
Construct the indicated confidence interval for the difference between population proportions p1−p2. Assume that the samples are independent and that they have been randomly selected. A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 knew the product while 196 out of 614 Californians knew the product. Construct a 99% confidence interval for the difference between the two population proportions.
A.
-0.0034 < p1 - p2 < 0.0566
B.
0.0247 < p1 - p2 < 0.0286
C.
-0.0443 <p1 - p2 < 0.0976
D.
-0.0177 < p1 - p2 < 0.1243
Question #6
Construct the indicated confidence interval for the difference between population proportions p1−p2. Assume that the samples are independent and that they have been randomly selected. In a random sample of 300 women, 49% favored stricter gun control legislation. In a random sample of 200 men, 28% favored stricter gun control legislation. Construct a 98% confidence interval for the difference between the population proportions p1−p2.
A.
0.099 < p1 - p2 < 0.321
B.
0.110 < p1 - p2 < 0.310
C.
0.126 < p1 - p2 < 0.294
D.
0.122 < p1 - p2 < 0.298
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