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Conduct a hypothesis test to determine if smoking level and ethnicity are independent.
Copy the data provided in Probability Topics Practice 1: Contingency Tables into the table below.
Smoking Level Per Day | African American | Native Hawaiian | Latino | Japanese Americans | White | TOTALS |
---|---|---|---|---|---|---|
1-10 | ||||||
11-20 | ||||||
21-30 | ||||||
31+ | ||||||
TOTALS |
State the hypotheses.
Enter expected values in the above below. Round to two decimal places.
Calculate the following values:
Degrees of freedom =
12
${\text{Chi}}^{2}$ test statistic =
10301.8
p-value =
0
Is this a right-tailed, left-tailed, or two-tailed test? Explain why.
right
Graph the situation. Label and scale the horizontal axis. Mark the mean and test statistic. Shade in the region corresponding to the p-value.
State the decision and conclusion (in a complete sentence) for the following preconceived levels of $\alpha $ .
$\alpha =0\text{.}\text{05}$
$\alpha =0.01$
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