Compute the value of the 2 test statistic (0 decimals). The p value is - Select
ID: 3381371 • Letter: C
Question
Compute the value of the 2 test statistic (0 decimals).
The p value is - Select your answer -less than .005between .005 and .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 2
Based on the results of your hypothesis test, do the observed values in categories A, B, and C fit the proportions predicted by the null hypothesis?
- Select your answer -YesNoItem 3
What is the critical value for this 2 test (to 3 decimals)?
Using the critical value, would you reject the null hypothesis?
- Select your response -YesNoItem 5
Explanation / Answer
Doing an observed/expected value table,
O E (O - E)^2/E
60 80 5
120 80 20
20 40 10
Using chi^2 = Sum[(O - E)^2/E],
chi^2 = 35 [ANSWER, TEST STATICTIC]
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As df = a - 1,
a = 3
df = a - 1 = 2
Thus, the p value is, using a table,
P < 0.005. [ANSWER]
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As P < 0.01, we REJECT THE NULL HYPOTHESIS.
Based on the results of your hypothesis test, do the observed values in categories A, B, and C fit the proportions predicted by the null hypothesis? [NO, ANSWER]
**************************
Using a table, at 0.01 level,
chi^2(crit) = 9.210 [ANSWER]
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As chi^2 > 9.210, we REJECT HO. [YES]
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