In April 2020, many U.S. adults were concerned about the impact that the coronavirus would have on their health and financial situation. Some people were only concerned about the economic or health impact, and some people were concerned with both. Researchers decided to investigate whether adults’ perceptions of the threat of the virus varied based on their age group (younger 18 – 29 versus middle-age 40-59). The researcher found that in a random sample of 100 young adults, 33 were concerned about the economic impact of the virus, but not the health impact. In a random sample of 110 middle-age adults, 22 were concerned about the economic impact of the virus, but not the health impact. If we assume that the population proportions for young adults and middle-age adults are the same, so p1 = p2, what is the Z-score of the observed difference in sample proportions? Round to 2 decimal places.
using excel>addin>phstat>two sample test>z test for two proportion
we have '
Z Test for Differences in Two Proportions | |
Data | |
Hypothesized Difference | 0 |
Level of Significance | 0.05 |
Group 1 | |
Number of Items of Interest | 33 |
Sample Size | 100 |
Group 2 | |
Number of Items of Interest | 22 |
Sample Size | 110 |
Intermediate Calculations | |
Group 1 Proportion | 0.33 |
Group 2 Proportion | 0.2 |
Difference in Two Proportions | 0.13 |
Average Proportion | 0.2619 |
Z Test Statistic | 2.1399 |
Two-Tail Test | |
Lower Critical Value | -1.9600 |
Upper Critical Value | 1.9600 |
p-Value | 0.0324 |
Reject the null hypothesis |
the Z-score of the observed difference in sample proportions is 2.14
In April 2020, many U.S. adults were concerned about the impact that the coronavirus would have...
In April 2020, many U.S. adults were concerned about the impact that the coronavirus would have on their health and financial situation. Some people were only concerned about the economic or health impact, and some people were concerned with both. Researchers decided to investigate whether adults' perceptions of the threat of the virus varied based on their age group (younger 18 - 29 versus middle-age 40-59). The researcher found that in a random sample of 100 young adults, 33 were...
In April 2020, many U.S. adults were concerned about the impact that the coronavirus would have on their health and financial situation. Some people were only concerned about the economic or health impact, and some people were concerned with both. Researchers decided to investigate whether adults’ perceptions of the threat of the virus varied based on their age group (younger 18 – 29 versus middle-age 40-59). The researcher found that in a random sample of 100 young adults, 33 were...
In April 2020, many U.S. adults were concerned about the impact that the coronavirus would have on their health and financial situation. Some people were only concerned about the economic or health impact, and some people were concerned with both. Researchers decided to investigate whether adults’ perceptions of the threat of the virus varied based on their age group (younger 18 – 29 versus middle-age 40-59). The researcher found that in a random sample of 100 young adults, 33 were...
In April 2020, many U.S. adults were concerned about the impact that the coronavirus would have on their health and financial situation. Some people were only concerned about the economic or health impact, and some people were concerned with both. Researchers decided to investigate whether adults' perceptions of the threat of the virus varied based on their age group (younger 18 - 29 versus middle-age 40-59). The researcher found that in a random sample of 100 young adults, 33 were...
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