Homework Help is Here – Start Your Trial Now!
Math
Probability
d) What is the z critical value that we would use to construct a classical 95% confidence interval for p? e) Construct a 95% classical confidence interval for p? ([ f) How long is the 95% classical confidence interval for p? g) If we are creating a 95% classical confidence interval for p based upon the sample size of 4178, then what is the longest possible length of this interval?

d) What is the z critical value that we would use to construct a classical 95% confidence interval for p? e) Construct a 95% classical confidence interval for p? ([ f) How long is the 95% classical confidence interval for p? g) If we are creating a 95% classical confidence interval for p based upon the sample size of 4178, then what is the longest possible length of this interval?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
See similar textbooks
icon
Related questions
Question

only need d,e,f,g

What proportion of NY Monopoly scratch-off Lotto tickets are winners? We will examine this by taking a random sample of n = 4178 Monopoly scratch-offs. Of these, x = 912 were winners. Let p be the (unknown) true proportion of NY Monopoly scratch offs which are winners. We want to estimate p. X is the random variable representing the number of sampled Monopoly scratch-offs which are winners. a) What type of probability distribution does X have? O Poisson O Weibull C gamma O exponential O binomial b) What was the sample proportion, p, of sampled Monopoly scratch offs which were winners? c) What is the R formula for the expected value of X in terms of n and p? O n*p O n^2 O n*p*(1 - p) O sqrt(n*p*(1-p)) O 1/p d) What is the z critical value that we would use to construct a classical 95% confidence interval for p? e) Construct a 95% classical confidence interval for p? ( f) How long is the 95% classical confidence interval for p? g) If we are creating a 95% classical confidence interval for p based upon the sample size of 4178, then what is the longest possible length of this interval? h) Copy your R script for the above into the text box here.
Transcribed Image Text:What proportion of NY Monopoly scratch-off Lotto tickets are winners? We will examine this by taking a random sample of n = 4178 Monopoly scratch-offs. Of these, x = 912 were winners. Let p be the (unknown) true proportion of NY Monopoly scratch offs which are winners. We want to estimate p. X is the random variable representing the number of sampled Monopoly scratch-offs which are winners. a) What type of probability distribution does X have? O Poisson O Weibull C gamma O exponential O binomial b) What was the sample proportion, p, of sampled Monopoly scratch offs which were winners? c) What is the R formula for the expected value of X in terms of n and p? O n*p O n^2 O n*p*(1 - p) O sqrt(n*p*(1-p)) O 1/p d) What is the z critical value that we would use to construct a classical 95% confidence interval for p? e) Construct a 95% classical confidence interval for p? ( f) How long is the 95% classical confidence interval for p? g) If we are creating a 95% classical confidence interval for p based upon the sample size of 4178, then what is the longest possible length of this interval? h) Copy your R script for the above into the text box here.
Expert Solution
steps

Step by step

Solved in 5 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON
SEE MORE TEXTBOOKS