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.
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.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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.
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