Answered: Researchers examined repartnering among…

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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Researchers examined repartnering among individuals aged 50 and over. One thing they looked at was the effect of dissolving a second marriage on entering either a new marriage or a cohabitation. Of the 67 people who entered a new marriage, 47 had previously dissolved a remarriage. Of the 58 people who entered a cohabitation, 30 had previously dissolved a remarriage. Test to see whether people aged 50 and over are more likely to enter a new marriage or a cohabitation after getting divorced. a.Define the parameter of interest. b.State the null and alternative hypotheses, then provide the notation for the sample statistic. c.Use a randomization distribution to find the p-value. d.Give the mean and standard error than most closely resemble the randomization distribution, and then use this normal distribution to find the p-value. e.Use the standard error from the randomization distribution in part c to find the standardized test statistic, then use that statistic to find a p-value on a standard normal distribution. Compare your p-values from parts c, d, and e. Use any of them to make a conclusion of the test in context.

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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