est 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.
A researcher is interested in if families that reside in the center-city have significantly morechildren than families that reside in the suburbs. Random samples from both areas are gatheredand the following sample statistics computed.
For suburbs (sample1):
•Mean ( ̄x1) =2.99
•Standard deviation (s1) =0.88
•
For center-city (sample2):
•Mean ( ̄x2) =2.29
•Standard deviation (s2) =0.91
•Sample size (n2) =251
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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