In: Statistics and Probability
*Please provide step-by-step answer*
Question:
A researcher is interested in the relationship
between birth order and personality. A sample of n=100 people is
obtained, all of whom grew up in families as one of three children.
Each person is given a personality test, and the researcher also
records the person's birth-order position (1st born, 2nd born, or
3rd). The frequencies from this study are shown in the following
table.
Birth Position
1st 2nd 3rd
Outgoing 13 31 16
Reserved 17 19 4
A. Find the expected frequencies and state whether you can safely use the chi-square test.
B. On the basis of these data, can the researcher conclude that there is a significant relation between birth order and personality?
1. What null and alternative hypotheses does this statistic
test?
2. What are its degrees of freedom?
3. Test at the .05 level of significance.
4. What do you conclude about the relationship between birth order
and personality?