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ID: 3323095 • Letter: H

Question

History BookmarksPeople Window Help ecker × y Take bbhosted.cuny.edu/webapps/assessment/take/take.jsp?course assessment id 1085979 1&course; id-1466319 18c Test: Quiz 11-2017 Fax G which test statistic is used G The letter E in a good ess- d Chi × x Question Completion Status: Singing Order 12 3 4 5 6-12 Eliminations | % Expected Eliminations 19% l 19% 1 14% 1 11% 1 9% 28% In the questions on this quiz, we will test the claim that the distribution of participants eliminated fits well with the expected distribution. Here is your first question: 14 Explain why the requirements for a goodness-of-fit test are satisfied by this information Pam: p

Explanation / Answer

Singing order

6 to 12

Eliminations

%observed Eliminations(O)
= Eliminations*100/69
as 69 = total

28.99%

17.39%

13.04%

11.59%

8.70%

20.29%

%Expected Eliminations(E)

19%

14%

11%

28%

(O-E)^2/E

5.25

0.14

0.07

0.03

0.01

2.12

Chi Square Value = X^2 = Sum((Oi-Ei)^2/Ei)

= 5.25 + 0.14 + 0.07 + 0.03 + 0.01 + 2.12 = 7.62

Degrees of freedom = 12-1 = 11

P-Value for X^2 = 7.62 and df =11 is 0.25

Thus, value of P is greater than significance level of 0.05,0.1,0.2.

Thus, we can accept hypotheis that it is a good fit