Answered: Determine whether a normal sampling…

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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Question

Determine whether a normal sampling distribution can be used for the following sample statistics. If it can be used, test the claim about the difference between two population proportions p1 and p2 at the level of significance α. Assume that the samples are random and independent.

Claim: p1≠p2, α=0.01

Sample Statistics:

x1=36,

n1=75,

x2=38,

n2= 65

State the null and alternative hypotheses, if applicable.

Calculate the standardized test statistic for the difference

p1−p2, if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Calculate the P-value, if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

State the conclusion of the hypothesis test, if applicable. Choose the correct answer below.

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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