According to a 1998 poll conducted by Gallup of 5000 people, 32% of Americans fear putting their head beneath water. Let p̂ be the proportion of people who fear putting their head beneath water. 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 5000 people in which between 30% and 36% of people fear putting their head beneath water.

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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According to a 1998 poll conducted by Gallup of 5000 people, 32% of Americans fear putting their head beneath water. Let p̂ be the proportion of people who fear putting their head beneath water.

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 5000 people in which between 30% and 36% of people fear putting their head beneath water. 

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