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Name: In a sample of 200 Bend households, you nd that 110 have cable televis
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Description: In a sample of 200 Bend households, you nd that 110 have cable television. In a sample of 250 Portland households, you nd that 160 have cable television. You wish to know whether these data indicate that the percentage of Bend households (population

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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In a sample of 200 Bend households, you nd that 110 have cable television. In a sample of 250 Portland households, you nd that 160 have cable television. You wish to know whether these data indicate that the percentage of Bend households (population 1) with cable is less than the percentage of Portland households (population 2) with cable. Use = 0:05 in the hypothesis test.

1. Set up the null and alternative hypotheses. Are the conditions met for using the normal distribution? Explain.
2. Compute the test statistic using the normal model.
3. State the p-value for the test.
4. State the decision and conclusion of the test in context.

Please show all your work!

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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