My Notes o Ask your Teacher ponts Previous Answers MBasicstar 22 E 026. Students

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My Notes o Ask your Teacher ponts Previous Answers MBasicstar 22 E 026. Students are reluctant to report cheating by other students. A student project put this question to an SRS of 176 undergraduates at a large university: "You witness two students cheating on a quiz. Do you go to the professor? only 23 answered ryes." Give a gsni confidence interval for the proportion of all undergraduates at this university who would report cheating. (use the plus four method. Round your answer for to four decimal places, your standard error to five decimal places, and your confidence interval bounds to four

Explanation / Answer

8) p=23/176 =0.1307

std error =(p(1-p)/n)1/2 =0.02541

for 95% CI, z=1.96

hence confidence interval=sample proportion -/+ z*std error =0.0809 ; 0.1805

2) a)yes, there are at least 15 success and 15failures

b)

std error =(p(1-p)/n)1/2 =0.02014

for 95% CI, z=1.6449

hence confidence interval=sample proportion -/+ z*std error =0.7469 ; 0.8131

c)b/w 75.69% and 81.31%

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