9. A random sample of 620 pumpkins thrown away after Halloween found that 217 of
ID: 3053194 • Letter: 9
Question
9. A random sample of 620 pumpkins thrown away after Halloween found that 217 of them had been carved with a smile. Bing Images,public domain a. Compute a 92% confidence interval. Round to the nearest percent. C. 31646 2 ? ? ,38359 ) rincc b. Circle true or fal?e for each interpretation of this interval. e or false for each interpretation cof this interval You are 92% confident that if all thrown-away pumpkins h examined, the percentage carved with a smile would beb and 38%. TRUE/FALSE TRUE FALSE You are 22 confident that the proportion of all pumpk carved with a smile is between 32% and 38%. You are 92% confident that between 32% and 38% of a thrown away. TRUE FALSE far tho nercentage of all thrown-awayExplanation / Answer
Ans:
a)Given that
Sample proportion=217/620=0.35
z value for 92% condfidence interval is 1.75
92% confidence interval for p
=0.35+/-1.75*sqrt(0.35*(1-0.35)/620)
=0.35+/-0.03
=(0.32, 0.38)
It can be interpreted that we can be 925 confident that population proportion of pumpkins thown away after halloween carved with a smile falls between 32% and 38%
b)First is true.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.