Question

1. A researcher randomly sampled people from Anchorage and Palmer, and asked whether they have a college diploma. The frequency of people with or without college diplomas for Anchorage and Palmer is summarized in the table below.

Analyze the data to examine whether the frequency of people with college diplomas differ between Anchorage and Palmer using the appropriate statistical technique, and indicate the results of the analysis.

	No college diploma	College diploma
Anchorage	7	14
Palmer	11	8

THIS IS THE FULL TABLE PROVIDED.

Answer 1

We are to test

VS

	no diploma	diploma	total
anchorage	7(a)	14(b)	21(R1)
palmer	11(c)	8(d)	19(R2)
total	18(C1)	22(C2)	40(N)

= 2.43

degrees of freedom= (row -1)(column-1)= 1
We find the critical value of chi from table at 5% level of significance and 1 d.f which is found to be 3.84

since observed test statistic < critical value 3.84 and p-value=0.119 > 0.05

we accept the null hypothesis and conclude there is no significant difference between the frequencies