A group of 100 people, who lived at varying distances (in kilometers) from an island nuclear power station, were asked if they thought a full evacuation of the area was required, when it went critical. The researches wanted to know if the opinion to evacuate or not depended on how far from the reactor people lived. Partial results of the questionnaire are shown in the table below. 0-3 km distance 3 - 6 km distance 6 -9 km distance 9- 12 km distance Totals Evacuation needed 51 Evacuation not needed XX Totals 28 28 23 XX XX You are doing a Chi Square test for independence. What is the expected value of the number of people living within a radius of 0-3 km who would say that evacuation was needed? XX denotes row/column totals. Give your answer to 2 decimal places.

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A group of 100 people, who lived at varying distances (in kilometers) from an island nuclear power station, were asked if they thought a full evacuation of
the area was required, when it went critical. The researches wanted to know if the opinion to evacuate or not depended on how far from the reactor people
lived.
Partial results of the questionnaire are shown in the table below.
0-3 km distance
3 -6 km distance
6 -9 km distance
9- 12 km distance
Totals
Evacuation needed
X
X
X
51
Evacuation not
X
X
XX
needed
Totals
28
28
23
XX
XX
You are doing a Chi Square test for independence. What is the expected value of the number of people living within a radius of 0-3 km who would
say that evacuation was needed? XX denotes row/column totals. Give your answer to 2 decimal places.
Transcribed Image Text:A group of 100 people, who lived at varying distances (in kilometers) from an island nuclear power station, were asked if they thought a full evacuation of the area was required, when it went critical. The researches wanted to know if the opinion to evacuate or not depended on how far from the reactor people lived. Partial results of the questionnaire are shown in the table below. 0-3 km distance 3 -6 km distance 6 -9 km distance 9- 12 km distance Totals Evacuation needed X X X 51 Evacuation not X X XX needed Totals 28 28 23 XX XX You are doing a Chi Square test for independence. What is the expected value of the number of people living within a radius of 0-3 km who would say that evacuation was needed? XX denotes row/column totals. Give your answer to 2 decimal places.
Expert Solution
Step 1

The expected values in a Chi-Square test for independence are the values that are expected to be seen in case the null hypothesis holds true.

The null and alternate hypotheses of the Chi-Square test are stated as follows.

Null Hypothesis(H0): The variables opinion and distance are independent.

Alternate Hypothesis(Ha): The variables opinion and distance are dependent.

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