A simple random sample of 400 individuals provides 148 Yes responses. (a) What is the point...

A simple random sample of 400 individuals provides 148 Yes responses.

(a) What is the point estimate of the proportion of the population that would provide Yes responses? 0.37 Correct: Your answer is correct.

(b) What is your estimate of the standard error of the proportion, σp? _________ (Round your answer to four decimal places.)

(c) Compute the 95% confidence interval for the population proportion. (Round your answers to four decimal places.) ______ to ______?

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Solution-

simple random sample of 400 individuals provides 148 Yes responses.

(a) What is the point estimate of the proportion of the population that would provide Yes responses?

0.37 is correct.

Correct: Your answer is correct.

(b) What is your estimate of the standard error of the proportion, σp? _________

0.0241

sigma(p) = sqrt ( (p × q)/n ) = √ ((0.37× 0.63 )/ 400)

0.3228 to 0.4172

----(rounded to 4 decimals)

◆ confidence interval formula and calculation-

calculations are rounded to 3 decimals-

orchestra answered 1 year ago

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