Asked by Lauren Oliveira on Jul 11, 2024
Verified
A researcher wishes to determine whether the proportion of Canadian women who smoke differs from the proportion of Canadian men who smoke.He wants to test the hypothesis H0:p1=p2\mathrm { H } _ { 0 } : \mathrm { p } _ { 1 } = \mathrm { p } _ { 2 }H0:p1=p2 where p1\mathrm { p } _ { 1 }p1 represents the proportion of Canadian women who smoke and P2\mathrm { P } _ { 2 }P2 represents the proportion of Canadian men who smoke.He randomly selects 100 married couples.Among the 100 women in the sample are 21 smokers.Among the 100 men are 29 smokers.Are the assumptions for a two-sample z-test for two population proportions met? If not,which assumption is violated and why?
Two-sample Z-test
A statistical test used to determine whether there is a significant difference between the means of two groups.
Population Proportions
The fraction of individuals in a population having a particular property or characteristic.
- Determine the foundational assumptions essential for establishing confidence intervals.
- Engage in the assessment of hypothesis to identify differences between two specific proportions.
Verified Answer
NY
Nathanael YoungJul 16, 2024
Final Answer :
The assumptions and conditions necessary for inference are not satisfied.Since married couples were surveyed,the two samples are not independent.
Learning Objectives
- Determine the foundational assumptions essential for establishing confidence intervals.
- Engage in the assessment of hypothesis to identify differences between two specific proportions.
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