qThere is a data set that contains the
percentage of women in the work force in 1968 and 1972 from a sample of 19 cities. There are two observations from each city, and the
observations constitute paired data. You are asked to determine whether this sample demonstrates a statistically significant increase in
the percentage of women in the work force.
qAnswer:
q 1. Ho: m = 0
(There is no change in the percentage)
q H1: m¹ 0 (There
is some change, but we are not assuming the
q direction of change)
q 2. 95%
t-Test with N=19 è We can determine t0.25% and t0.975%
q 3.
S=0.05974 è s = S/(19)0.5 = 0.01371
q 4. t
statistic t = (0.0337 – 0) / s = 2.458
> t0.975%
q 5. We reject the null hypothesis è There has
been a significant change
q in
women’s participation in the work force in those 4 years.
q