As Director of Student Services for the Lake County School District, you wish to estimate the proportion of families with school-aged children who would enroll in a low-cost family counseling service if such a program were available. A random sample of 50 families was polled and it was found that 35 would enroll in such a program. a. Let p represent the proportion of all families in the district who would enroll in the low-cost family counseling service. Find a point estimate for p. (Round result to 3 decimal places.) b. Find a 90% confidence interval for p. (Round results to 3 decimal places.) ♥ < c. The Lake County School Board president tasks you with doing a larger study, to develop a more precise estimate. The director would like an estimate for the proportion of families who would use the low-cost family counseling service that is within 5% of the population percentage, with 90% confidence. Using the original study (described above) as a preliminary estimate for the population proportion p, what is the minimum sample size required to fulfill the board president's request? Minimum sample size: n = 594
As Director of Student Services for the Lake County School District, you wish to estimate the proportion of families with school-aged children who would enroll in a low-cost family counseling service if such a program were available. A random sample of 50 families was polled and it was found that 35 would enroll in such a program. a. Let p represent the proportion of all families in the district who would enroll in the low-cost family counseling service. Find a point estimate for p. (Round result to 3 decimal places.) b. Find a 90% confidence interval for p. (Round results to 3 decimal places.) ♥ < c. The Lake County School Board president tasks you with doing a larger study, to develop a more precise estimate. The director would like an estimate for the proportion of families who would use the low-cost family counseling service that is within 5% of the population percentage, with 90% confidence. Using the original study (described above) as a preliminary estimate for the population proportion p, what is the minimum sample size required to fulfill the board president's request? Minimum sample size: n = 594
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:As Director of Student Services for the Lake County School District, you wish to estimate the proportion of
families with school-aged children who would enroll in a low-cost family counseling service if such a
program were available. A random sample of 50 families was polled and it was found that 35 would enroll
in such a program.
a. Let p represent the proportion of all families in the district who would enroll in the low-cost family
counseling service. Find a point estimate for p. (Round result to 3 decimal places.)
b. Find a 90% confidence interval for p. (Round results to 3 decimal places.)
c. The Lake County School Board president tasks you with doing a larger study, to develop a more precise
estimate. The director would like an estimate for the proportion of families who would use the low-cost
family counseling service that is within 5% of the population percentage, with 90% confidence. Using the
original study (described above) as a preliminary estimate for the population proportion p, what is the
minimum sample size required to fulfill the board president's request?
Minimum sample size: n = 594
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