6. Suppose that the researcher from the previous problem repeated the study of married couples' initials using twice as many participants and obtaining observed frequencies that exactly double the original values. The resulting data are as follows: Same Different Initial Initials 38 362 400 a. Use a chi-square test to determine whether the number of couples with the same last initial is significantly different that would be expected if couples were matched randomly. Test with a = .05. b. You should find that the data lead to rejecting the null hypothesis. However, in problem 5 the deci- sion was fail to reject. How do you explain the fact that the two samples have the same proportions but lead to different conclusions?

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domly? Test with a = .05.
6. Suppose that the researcher from the previous problem
repeated the study of married couples' initials using
twice as many participants and obtaining observed
frequencies that exactly double the original values.
The resulting data are as follows:
Same
Different
Initial
Initials
38
362
400
a. Use a chi-square test to determine whether the
number of couples with the same last initial is
significantly different that would be expected if
couples were matched randomly. Test with a = .05.
b. You should find that the data lead to rejecting the
null hypothesis. However, in problem 5 the deci-
sion was fail to reject. How do you explain the fact
that the two samples have the same proportions but
lead to different conclusions?
Transcribed Image Text:domly? Test with a = .05. 6. Suppose that the researcher from the previous problem repeated the study of married couples' initials using twice as many participants and obtaining observed frequencies that exactly double the original values. The resulting data are as follows: Same Different Initial Initials 38 362 400 a. Use a chi-square test to determine whether the number of couples with the same last initial is significantly different that would be expected if couples were matched randomly. Test with a = .05. b. You should find that the data lead to rejecting the null hypothesis. However, in problem 5 the deci- sion was fail to reject. How do you explain the fact that the two samples have the same proportions but lead to different conclusions?
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