A study by ABC News of 2,625 Americans found that 68% of them prefer to eat their chocolate Easter bunnies’ ears first.  Let p̂ be the proportion of people who prefer to eat their chocolate bunnies’ ears first. a. What is the mean of the sampling distribution of p̂?  b. Find the standard deviation of the sampling distribution of p̂. Round to the nearest thousandth.  c. Find the probability of selecting a sample of 2,625 people in which more than 65% of people eat the ears of their chocolate bunnies first.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A study by ABC News of 2,625 Americans found that 68% of them prefer to eat their chocolate Easter bunnies’ ears first.  Let p̂ be the proportion of people who prefer to eat their chocolate bunnies’ ears first.

a. What is the mean of the sampling distribution of p̂? 

b. Find the standard deviation of the sampling distribution of p̂. Round to the nearest thousandth. 

c. Find the probability of selecting a sample of 2,625 people in which more than 65% of people eat the ears of their chocolate bunnies first. 

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