a. Is the sample size large enough to use the large sample approximation to construct a confidence interval for p? Explain. b. Construct a 90% confidence interval for p. c. Interpret the 90% confidence interval.

MATLAB: An Introduction with Applications
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A random sample of size n = 40 yielded p = 0.50.
a. Is the sample size large enough to use the large sample approximation to construct a confidence interval for p? Explain.
b. Construct a 90% confidence interval for p.
c. Interpret the 90% confidence interval.
d. Explain what is meant by the phrase "90% confidence interval."
a. Is the sample large enough?
A. Yes, because np ≥ 15 and nq≥ 15.
B.
No, because np < 15 and nq < 15.
OC. No, because np < 15 and nq < 15.
OD. No, because np ≥ 15 and nq < 15.
b. The 90% confidence interval for p is (.).
(Round to two decimal places as needed.)
B
Transcribed Image Text:A random sample of size n = 40 yielded p = 0.50. a. Is the sample size large enough to use the large sample approximation to construct a confidence interval for p? Explain. b. Construct a 90% confidence interval for p. c. Interpret the 90% confidence interval. d. Explain what is meant by the phrase "90% confidence interval." a. Is the sample large enough? A. Yes, because np ≥ 15 and nq≥ 15. B. No, because np < 15 and nq < 15. OC. No, because np < 15 and nq < 15. OD. No, because np ≥ 15 and nq < 15. b. The 90% confidence interval for p is (.). (Round to two decimal places as needed.) B
Expert Solution
Step 1: Mentioning given Information

As per guidelines i have calculated 3 subparts .

given that , 

sample size  n = 40,

sample proportion p̂ = 0.5.


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