Question 669231: A researcher wants to see if there is a relationship between birth order and personality. A sample of n = 100 people is obtained, all of whom grew up in 3-child families. On the basis of the frequencies shown below, can the researcher conclude that there is a significant difference at the .05 level?
Outgoing - 1st Birth Position (BP) - 13, 2nd BP - 31, 3rd BP - 16
Reserved - 1st Birth Position (BP) - 17, 2nd BP - 19, 3rd BP - 4
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A researcher wants to see if there is a relationship between birth order and personality. A sample of n = 100 people is obtained, all of whom grew up in 3-child families. On the basis of the frequencies shown below, can the researcher conclude that there is a significant difference at the .05 level?
Outgoing - 1st Birth Position (BP) - 13, 2nd BP - 31, 3rd BP - 16
Reserved - 1st Birth Position (BP) - 17, 2nd BP - 19, 3rd BP - 4
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Ho: row and column factors are independent
Ha: they are not independent
I ran a Chi-Sq on the 2x3 matrix and got the following:
test statistic: Chi Sq = 6.89
p-value = 0.03
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Since the p-value is less than 55, reject Ho.
The row and column factors are not independent
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Cheers,
Stan H.
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