A study reported that 53% of men age 62-64 were still working, 36% of women age 62
Question:
A study reported that 53% of men age 62-64 were still working, 36% of women age 62 to 64 were still working, 31% men age 65 to 69 were still working, and 22% of women age 65 to 69 were still working. Suppose that the study was based on a sample size of 100 in each group. Complete parts a-c.
a. Is there evidence of a significant difference among the groups with respect to the proportion who are still working? Use
alpha equals 0.05
-xstat squared =
xstat alpha =
pvalue =
critical value =
conclusion =
state the null and alternative hypotheses.
a. H 0 : π 1 = π 2 = π 3 = π 4
H 1 : π 1 ≠ π 2 ≠ π 3 ≠ π 4
b. H 0 : π 1 = π 2 = π 3 = π 4 = 0
H 1 : π 1 ≠ π 2 ≠ π 3 ≠ π 4 ≠ 0
c. H 0 : π 1 = π 2 = π 3 = π 4 = 0
H 1: At least one of the π j is not equal to zero (where j = 1, 2 , 3, 4)
d. H 0 : π 1 = π 2 = π 3 = π 4
H 1: Not all π j are equal (where j = 1, 2 , 3, 4)
Test statistic is c 2 STAT = ____
Statistics The Art and Science of Learning from Data
ISBN: 978-0321755940
3rd edition
Authors: Alan Agresti, Christine A. Franklin