decimal places. a. Complete the table. District Observed Expected A B C D 34 7 17 23 Total 81 000 (0-E)² E b. Compute the chi-square test-statistic for this data? x= [ c. Compute the chi-square Critical Value? Critical Value = d. What would be the correct conclusion for this hypothesis test? lly significant difference in the pro

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A city has 4 voting districts. Records from previous years show the proportion of registered voters that voted
in previous elections for each district. A political analyst wants to see if those proportions have changed for
this year's upcoming elections. The political analyst randomly samples 81 registered voters and asks them
which district they live in and if they have voted yet.
Ho: PA = 0.3; PB = 0.1; pc = 0.2; PD = 0.4
Test the claim that there is a difference in the proportions using a a= 0.05. Round all answers to at least 4
decimal places.
a. Complete the table.
District Observed Expected
A
B
C
D
Total
34
7
17
23
81
(O - E)²
E
0000
00
b. Compute the chi-square test-statistic for this data?
x² = 1
c. Compute the chi-square Critical Value?
Critical Value =
d. What would be the correct conclusion for this hypothesis test?
O Reject the null hypothesis, there is not a statistically significant difference in the proportions.
O Fail to reject the null hypothesis, there is a statistically significant difference in the proportions.
Submit Question
Reject the null hypothesis, there is a statistically significant difference in the proportions.
O Fail to reject the null hypothesis, there is not a statistically significant difference in the proportions.
Transcribed Image Text:A city has 4 voting districts. Records from previous years show the proportion of registered voters that voted in previous elections for each district. A political analyst wants to see if those proportions have changed for this year's upcoming elections. The political analyst randomly samples 81 registered voters and asks them which district they live in and if they have voted yet. Ho: PA = 0.3; PB = 0.1; pc = 0.2; PD = 0.4 Test the claim that there is a difference in the proportions using a a= 0.05. Round all answers to at least 4 decimal places. a. Complete the table. District Observed Expected A B C D Total 34 7 17 23 81 (O - E)² E 0000 00 b. Compute the chi-square test-statistic for this data? x² = 1 c. Compute the chi-square Critical Value? Critical Value = d. What would be the correct conclusion for this hypothesis test? O Reject the null hypothesis, there is not a statistically significant difference in the proportions. O Fail to reject the null hypothesis, there is a statistically significant difference in the proportions. Submit Question Reject the null hypothesis, there is a statistically significant difference in the proportions. O Fail to reject the null hypothesis, there is not a statistically significant difference in the proportions.
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