The following summary statistics are obtained from two independent populations:x1=18 n1=80x2=44 n2=120 x1 and x2 represent the number of successes in samples of sizes n1 and n2 respectively.Standard Normal Distribution Tablea. State the hypotheses for testing if a significant difference exists between the two population proportions.H0 : p1−p2= ? 0H1 : p1−p2 = ? 0 b. Calculate the test statistic.z= Round to two decimal places if necessaryEnter 0 if normal approximation cannot be usedc. Determine the critical value(s) and state the rejection region for the null hypothesis at a=0.2�=0.2.=Round to two decimal places if necessaryEnter 0 if normal approximation cannot be usedd. Conclude whether to reject the null hypothesis or not based on the test statistic.RejectFail to RejectCannot Use Normal Approximation

Answered: a. State the hypotheses for testing if…

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

The following summary statistics are obtained from two independent populations:

x1=18 n1=80

x2=44 n2=120

x1 and x2 represent the number of successes in samples of sizes n1 and n2 respectively.

Standard Normal Distribution Table

a. State the hypotheses for testing if a significant difference exists between the two population proportions.

H0 : p1−p2= ? 0

H1 : p1−p2 = ? 0

b. Calculate the test statistic.

Round to two decimal places if necessary

Enter 0 if normal approximation cannot be used

c. Determine the critical value(s) and state the rejection region for the null hypothesis at a=0.2�=0.2.

Round to two decimal places if necessary

Enter 0 if normal approximation cannot be used

d. Conclude whether to reject the null hypothesis or not based on the test statistic.

Reject

Fail to Reject

Cannot Use Normal Approximation

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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