When a recent survey asked subjects whether it should or should not be the government's responsibility to impose strict laws to make industry do less damage to the environment, 1407 of 1500 subjects said yes. Complete parts a and b below. a. What assumptions are made to construct a 95% confidence interval for the population proportion who would say yes? Do they seem satisfied here? The data must be obtained randomly the number of successes must be at least 15, and the number of failures must be at least 15. Do the assumptions seem satisfied here? OA. No, there are not enough or too many successes. OB. No, the data was not gathered properly. OC. No, there are not enough or too many failures. D. Yes, all assumptions seem satisfied. b. Construct the 95% confidence interval. Interpret in context. Can you conclude whether or not a majority or minority of the population would answer yes? We can be % confident that the interval to contains the population proportion who said yes. (Type an integer or decimal rounded to three decimal places as needed.)

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When a recent survey asked subjects whether it should or should not be the government's responsibility to impose strict laws to make industry do less damage to the environment, 1407 of 1500
subjects said yes. Complete parts a and b below.
a. What assumptions are made to construct a 95% confidence interval for the population proportion who would say yes? Do they seem satisfied here?
The data must be obtained randomly the number of successes must be at least 15, and the number of failures must be at least 15.
Do the assumptions seem satisfied here?
A. No, there are not enough or too many successes.
B. No, the data was not gathered properly.
C. No, there are not enough or too many failures.
D. Yes, all assumptions seem satisfied.
b. Construct the 95% confidence interval. Interpret in context. Can you conclude whether or not a majority or minority of the population would answer yes?
We can be % confident that the interval to contains the population proportion who said yes.
(Type an integer or decimal rounded to three decimal places as needed.)
Transcribed Image Text:When a recent survey asked subjects whether it should or should not be the government's responsibility to impose strict laws to make industry do less damage to the environment, 1407 of 1500 subjects said yes. Complete parts a and b below. a. What assumptions are made to construct a 95% confidence interval for the population proportion who would say yes? Do they seem satisfied here? The data must be obtained randomly the number of successes must be at least 15, and the number of failures must be at least 15. Do the assumptions seem satisfied here? A. No, there are not enough or too many successes. B. No, the data was not gathered properly. C. No, there are not enough or too many failures. D. Yes, all assumptions seem satisfied. b. Construct the 95% confidence interval. Interpret in context. Can you conclude whether or not a majority or minority of the population would answer yes? We can be % confident that the interval to contains the population proportion who said yes. (Type an integer or decimal rounded to three decimal places as needed.)
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Given,n=1500x=1407α=1-0.95=0.05α2=0.025Z0.025=1.96

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