Suppose the true proportion of voters in the county who support a restaurant tax is 0.49. Consider the sampling distribution for the proportion of supporters with sample size n = 124. What is the mean of this distribution?  What is the standard deviation of this distribution?

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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Suppose the true proportion of voters in the county who support a restaurant tax is 0.49. Consider the sampling distribution for the proportion of supporters with sample size n = 124.

What is the mean of this distribution? 

What is the standard deviation of this distribution?

 

Based on past experience, a bank believes that 7.5 % of the people who receive loans will not make payments on time. The bank has recently approved 220 loans.

What must be true to be able to approximate the sampling distribution with a normal model? Before proceeding, think about whether the conditions have been met.

What are the mean and standard deviation of the sampling distribution of the proportion of people who will not make payments on time in samples of 220?
mean, as a decimal = 
standard deviation (accurate to 3 decimal places) = 

What is the probability that over 10% of the clients in the group of 220 clients will not make timely payments? (accurate to 3 decimal places) (Remember: do not use rounded results in later calculations; rather use the value from prior-to-rounding.) 

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