STA2023 Quiz 6 Study Guide Rated A+
1). Suppose 60% of american adults believe martha stewart is guilty of obstruction of justice
and fraud related to insider trading. we will take a random sample of 100 american adults
and ask them the question. then the sampling distribution of the sample proportion of people
who answer yes to the question is:
Ans: approximately Normal, with mean 0.6 and standard error 0.04899.
2). Suppose that 76% of americans prefer coke to pepsi. a sample of 80 was taken. what is the
probability that at least seventy percent of the sample prefers coke to pepsi?
Ans: 0.896
3). Nine percent of americans say they are well informed about politics in comparison to most
people. you randomly sample 200 americans and ask if they believe that they are well
informed about politics in comparison to most people. what is the probability that less than
8% of the people sampled will answer yes to the question?
Ans: 0.3121
4). Suppose that 76% of americans prefer coke to pepsi. a sample of 200 was taken. what is the
probability that at least sixty eight percent of the sample prefers coke to pepsi?
Ans: 0.9960
5). As the sample size increases, the standard error of the sampling distribution of the sample
proportion decreases.
Ans: True
6). If "np is greater than or equal to 15" and "n(1-p) is greater than or equal to 15", then the
sampling distribution of the sample proportion is approximately _______ .
Ans: Normal
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1). Suppose 60% of american adults believe martha stewart is guilty of obstruction of justice
and fraud related to insider trading. we will take a random sample of 100 american adults
and ask them the question. then the sampling distribution of the sample proportion of people
who answer yes to the question is:
Ans: approximately Normal, with mean 0.6 and standard error 0.04899.
2). Suppose that 76% of americans prefer coke to pepsi. a sample of 80 was taken. what is the
probability that at least seventy percent of the sample prefers coke to pepsi?
Ans: 0.896
3). Nine percent of americans say they are well informed about politics in comparison to most
people. you randomly sample 200 americans and ask if they believe that they are well
informed about politics in comparison to most people. what is the probability that less than
8% of the people sampled will answer yes to the question?
Ans: 0.3121
4). Suppose that 76% of americans prefer coke to pepsi. a sample of 200 was taken. what is the
probability that at least sixty eight percent of the sample prefers coke to pepsi?
Ans: 0.9960
5). As the sample size increases, the standard error of the sampling distribution of the sample
proportion decreases.
Ans: True
6). If "np is greater than or equal to 15" and "n(1-p) is greater than or equal to 15", then the
sampling distribution of the sample proportion is approximately _______ .
Ans: Normal
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