1. Hypothesis Test for Independent Groups Two Proportions
In a recent local election, among – 45 year olds, 45% voted and among – 60 year olds, 50% voted. Do the data indicate that the proportion of year olds who voted is less that the proportion of 46 – 60 year olds? Test at a 5% level of significance.
Let A represent 30 – 45 year olds
B represent 46 – 60 year olds
Ho: pA = pB Ha: pA < pB

2. Hypothesis Test for Independent Groups Two Proportions
PA – PB = difference between the proportions of 30 – 45 year olds and 46 – 60 year olds who voted in a recent local election.
Distribution for the Test: Normal for Two Proportions

3. Hypothesis Test for Independent Groups Two Proportions
Use 2-PropZTest.
Test statistic: z = -1.12
Standardized score for
pA’-pB’ = 0.45 – 0.5 = -.05
p-value:

4. Hypothesis Test for Independent Groups Two Proportions
Decision: Assume
DO NOT REJECT Ho.
Conclusion: There is NOT sufficient evidence to conclude that the proportion of year olds who voted is less than the percentage of 46 – 60 year olds who voted.