We are wondering if the proportions of voters who rejected the proposal to institute astate lottery vary by sex. Random samples from each sex are gathered and the following samplestatistics computed. For males (sample1): •proportion (p1) =0.35 •Sample size (n1) =178 For females (sample2): •Proportion (p2) =0.25 •Sample size (n2) =212 Test the research question atα=0.05 (two-tailed) with the five-step processes and concludeyour decisions. 1. Evaluate assumptions if we can use at-test and summarize parameters and statistics. 2. State the null hypothesis (i.e.,H0) and the working hypothesis (i.e.,H1). 3. Establish the critical region fort-distributions atα=0.05with a two-tailed test. 4. Compute the test statistics (i.e.,tobtained) and the corresponding probability (i.e.,p-value). 5. Make a decision and interpret test results.
We are wondering if the proportions of voters who rejected the proposal to institute astate lottery vary by sex. Random samples from each sex are gathered and the following samplestatistics computed.
For males (sample1):
•proportion (p1) =0.35
•
For females (sample2):
•Proportion (p2) =0.25
•Sample size (n2) =212
Test the research question atα=0.05 (two-tailed) with the five-step processes and concludeyour decisions.
1. Evaluate assumptions if we can use at-test and summarize parameters and statistics.
2. State the null hypothesis (i.e.,H0) and the working hypothesis (i.e.,H1).
3. Establish the critical region fort-distributions atα=0.05with a two-tailed test.
4. Compute the test statistics (i.e.,tobtained) and the corresponding probability (i.e.,p-value).
5. Make a decision and interpret test results.
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