null hypothesis: Ho: each city has ownership of landlines equal to 70%.
alternate hypothesis:Ha: at least one city has ownership different from 70%
Observed | Oi | New Orleans | Baton Rouge | Lafayette | Total |
Land lines | 85 | 80 | 65 | 230 | |
no land line | 15 | 20 | 35 | 70 | |
Total | 100 | 100 | 100 | 300 | |
Expected | Ei=Σrow*Σcolumn/Σtotal | New Orleans | Baton Rouge | Lafayette | Total |
Land lines | 70.0 | 70.0 | 70.0 | 210 | |
no land line | 30.0 | 30.0 | 30.0 | 90 | |
Total | 100 | 100 | 100 | 300 | |
chi square χ2 | =(Oi-Ei)2/Ei | New Orleans | Baton Rouge | Lafayette | Total |
Land lines | 3.2143 | 1.4286 | 0.3571 | 5.000 | |
no land line | 7.5000 | 3.3333 | 0.8333 | 11.667 | |
Total | 10.714 | 4.762 | 1.190 | 16.6666 |
test statsitic =16.67
degree of freedom(df) =(rows-1)*(columns-1)= |
2 |
for 2 df and 0.01 level of signifcance critical region χ2= | 9.210 |
Decision:as test statitic is in rejection region we reject null hypothesis
Conclusion: we have sufficient evidence to conclude that at least one city has ownership different from 70%
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only one ques can be answered per post as HOMEWORKLIB RULES guidelines.
S. Mobile phone service providers (e.g., Verizon, AT&T, T-Mobile) surveyed 100 households in each of the...
please calculate the regressional model, the test hypothesis,
the rejection region for the test statistic t, the test statistic
t, and the percentage of total variation
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