Question 7 1 pts A political consultant conducts a survey of registered voters i
ID: 3220035 • Letter: Q
Question
Question 7 1 pts A political consultant conducts a survey of registered voters in your district to see if there is a significant (a 01) difference in income level distribution. The consultant finds the following number of voters at each of these income levels: Below $30k na 110 $30-59k -n 250 $60-79k n. 165 $80+k n 66 What is the test statistic, decision, and conclusion based on this data? O X2 127.653: Reject the null hypothesis: Results suggest there is an unequal distribution of income levels in the district, O x2 127,653: Fail to reject the null hypothesis: Results suggest there is not an unequal distribution of income levels in the district. O x2 157.837: Reject the null hypothesis: Results suggest there is an unequal distribution of income levels in the district.Explanation / Answer
Answer:
Question 7
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
110
147.750
-37.750
9.645
250
147.750
102.250
70.762
165
147.750
17.250
2.014
66
147.750
-81.750
45.232
591
591.000
127.653
127.653
chi-square
3
df
0.0000
p-value
Critical value of chi square at 0.01 level =11.345
Calculated chi square =127.653 > 11.345, the table value. Ho is rejected.
Chi square = 127.653, Reject the null hypothesis. Results suggest there is an unequal distribution of income levels in the district.
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
110
147.750
-37.750
9.645
250
147.750
102.250
70.762
165
147.750
17.250
2.014
66
147.750
-81.750
45.232
Total591
591.000
127.653
127.653
chi-square
3
df
0.0000
p-value
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