Answered: Use the normal distribution to find a…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Question

Use the normal distribution to find a confidence interval for a difference in proportions p1−p2p1-p2 given the relevant sample results. Assume the results come from random samples.

A 95% confidence interval for p1−p2given that p^1=0.20p with n1=60 and p^2=0.40 with n2=80

Give the best estimate for p1−p2, the margin of error, and the confidence interval.

Round your answer for the best estimate to two decimal places and round your answers for the margin of error and the confidence interval to three decimal places.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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