Question
Asked Nov 18, 2019
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11.27 A forestry official is comparing the causes of forest fires in
two regions, A and B. The following table shows the causes of fire for
76 recent fires in these two regions
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11.27 A forestry official is comparing the causes of forest fires in two regions, A and B. The following table shows the causes of fire for 76 recent fires in these two regions

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Arson
Lightning
Accident
Unknown
Region A
6
9
6
10
Region
7
14
15
Test at a 5% significance level whether causes of fire and regions of
fires are related.
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Arson Lightning Accident Unknown Region A 6 9 6 10 Region 7 14 15 Test at a 5% significance level whether causes of fire and regions of fires are related.

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Expert Answer

Step 1

The hypotheses are given below:

Null hypothesis:

H0: The fire and regions of fires are not related.

Null hypothesis:

Ha: The fire and regions of fires are related.

Use the below steps to obtain the​ test statistic by using MINITAB.

  • Choose Stat > Tables > Chi-Square Test for Association.
  • Select Summarized data in a two-way table.
  • In Columns containing the table, enter the columns of A...
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Chi-Square Test for Association: Region, Worksheet columns Rows: Region Columns: Worksheet columns Arson Accident Lightning Unknown All A 6 6 10 31 5.303 9.382 8.566 7.750 7 15 9 45 14 7.697 13.618 12.434 11.250 All 13 23 21 19 76 Cell Contents Count Expected count Chi-Square Test Chi-Square DF P-Value Pearson 2.582 0.461 Likelihood Ratio 2.616 0.455 en m

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Tagged in
MathStatistics

Hypothesis Testing

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