A study investigates income level in the U.S. to determine if it is independent
ID: 3232966 • Letter: A
Question
A study investigates income level in the U.S. to determine if it is independent of region. If there are ten regions and five income levels, how many degrees of freedom are there to find the critical value for a x^2 test of independence? 50 49 9 36 48. A researcher surveys 101 people, both smokers and non-smokers, to see how many times per year they have an illness requiring them to see a doctor. The categories for the columns are 0-1 visits, 2-3 visits, and 4 or more visits. If the researcher wishes to test the null hypothesis that the number of illnesses per year requiring a visit to the doctor are independent of smoking, what is the critical value for the x^2 test of independence at alpha = 0.05? 5.991 7.815 11.071 12.592 124.32. A study is done to determine, at the 5% level of significance, if traffic accidents occur with equal frequency throughout the week. Of the 70 accidents pulled from the files, the distribution of observed accidents shown below. What is the value of the test statistic for a x^2 Goodness-of-Fit/Multinomial test? 0.0 2.0 0.72 22.8 7.2Explanation / Answer
80.
Degrees of freedom. The degrees of freedom (DF) is equal to:
DF = (r - 1) * (c - 1)
where r is the number of levels for one catagorical variable, and c is the number of levels for the other categorical variable.
DF=(10-1)*(5-1)=9*4=36
Option d. 36 is correct.
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