Difference in Two Proportions Problem. In a September 2019 survey of adults in the U.S., participants were asked if within the last 5 years, they knew of a friend or family member who died due to inability to pay for medical treatment. Overall, 13.4% answered yes. The rate for seniors (those 65 and over) is much lower at 6.6% due to Medicaide and Medicare. We will focus on the difference between the two younger age groups. The table below has the breakdown of the data by three Age Groups. AGE Yes No 18-44 45-64 65+ Total 87 46 14 147 428 326 198 952 This problem will focus on a Difference of Proportion Problem between those 18 to 44 and those 45 to 64. Use this order, Proportion (18 to 44) - Proportion (45 to 64), in calculating the difference so it is positive. Answer the following questions. True Total 515 372 212 1099 Conduct a Hypothesis Test that the Difference of the two proportions is zero. Use an alpha level of .05 and a 2-tailed test. Note that this requires a pooled estimated of the standard error. False If this were a one-tailed upper Hypothesis Test, we would reach the same conclusion as a two-tailed test.

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Author:Amos Gilat
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Difference in Two Proportions Problem. In a September 2019 survey of adults in the
U.S., participants were asked if within the last 5 years, they knew of a friend or family
member who died due to inability to pay for medical treatment. Overall, 13.4%
answered yes. The rate for seniors (those 65 and over) is much lower at 6.6% due to
Medicaide and Medicare. We will focus on the difference between the two younger
age groups.
The table below has the breakdown of the data by three Age Groups.
AGE
Yes
No
Total
515
372
212
1099
18-44
45-64
65+
Total
87
46
14
147
This problem will focus on a Difference of Proportion Problem between those 18 to 44
and those 45 to 64. Use this order, Proportion(18 to 44) - Proportion (45 to 64), in
calculating the difference so it is positive. Answer the following questions.
428
326
198
952
Conduct a Hypothesis Test that the Difference of the two proportions is zero. Use an
alpha level of .05 and a 2-tailed test. Note that this requires a pooled estimated of the
standard error.
True
If this were a one-tailed upper Hypothesis Test, we would reach the same conclusion
as a two-tailed test.
False
Transcribed Image Text:Difference in Two Proportions Problem. In a September 2019 survey of adults in the U.S., participants were asked if within the last 5 years, they knew of a friend or family member who died due to inability to pay for medical treatment. Overall, 13.4% answered yes. The rate for seniors (those 65 and over) is much lower at 6.6% due to Medicaide and Medicare. We will focus on the difference between the two younger age groups. The table below has the breakdown of the data by three Age Groups. AGE Yes No Total 515 372 212 1099 18-44 45-64 65+ Total 87 46 14 147 This problem will focus on a Difference of Proportion Problem between those 18 to 44 and those 45 to 64. Use this order, Proportion(18 to 44) - Proportion (45 to 64), in calculating the difference so it is positive. Answer the following questions. 428 326 198 952 Conduct a Hypothesis Test that the Difference of the two proportions is zero. Use an alpha level of .05 and a 2-tailed test. Note that this requires a pooled estimated of the standard error. True If this were a one-tailed upper Hypothesis Test, we would reach the same conclusion as a two-tailed test. False
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