Question

2. In analyzing hits by V-1 buzz bombs in World War II, South London was subdivided into regions, each with an area of 0.25 km². Shown below is a table of actual frequencies of hits and the frequencies expected with the Poisson distribution. Number of Bomb Hits 0 1 2 3 4 or more Actual Number of Regions 229 211 93 35 8 Expected Number of Regions (from Poisson Distribution) 227.5 211.4 97.9 30.5 8.7 Use the values listed and a 0.05 significance level to test the claim that the actual frequencies fit a Poisson distribution (or in other words, ""Do World War II Bomb Hits Fit a Poisson Distribution?""): (a) State the null and alternative hypotheses, indicate the significance level and the type of test (left-, right-, or two-tailed test). (b) Calculate by hand the test statistic. (c) Use the appropriate sheet in the Hypothesis Test and Confidence Interval template to complete all relevant computations (including the test statistic: compare with (b) to confirm your calculation is correct). Add a screenshot. (d) Use the $P$-value obtained in (c) to explain whether or not the null hypothesis is rejected. (e) Make a concluding statement. (f) Does the result in (e) prove that the data conforms (or not) to the Poisson distribution?

          2. In analyzing hits by V-1 buzz bombs in World War II, South London was subdivided into regions, each with an area of 0.25 km². Shown below is a table of actual frequencies of hits and the frequencies expected with the Poisson distribution.
Number of Bomb Hits
0
1
2
3
4 or
more
Actual Number of
Regions
229
211
93
35
8
Expected Number of
Regions (from Poisson
Distribution)
227.5
211.4
97.9
30.5
8.7
Use the values listed and a 0.05 significance level to test the claim that the actual frequencies fit a Poisson distribution (or in other words, ""Do World War II Bomb Hits Fit a Poisson Distribution?""):
(a) State the null and alternative hypotheses, indicate the significance level and the type of test (left-, right-, or two-tailed test).
(b) Calculate by hand the test statistic.
(c) Use the appropriate sheet in the Hypothesis Test and Confidence Interval template to complete all relevant computations (including the test statistic: compare with (b) to confirm your calculation is correct). Add a screenshot.
(d) Use the $P$-value obtained in (c) to explain whether or not the null hypothesis is rejected.
(e) Make a concluding statement.
(f) Does the result in (e) prove that the data conforms (or not) to the Poisson distribution?

2. In analyzing hits by V-1 buzz bombs in World War II, South London was subdivided into regions, each with an area of 0.25 km². Shown below is a table of actual frequencies of hits and the frequencies expected with the Poisson distribution.
Number of Bomb Hits
0
1
2
3
4 or
more
Actual Number of
Regions
229
211
93
35
8
Expected Number of
Regions (from Poisson
Distribution)
227.5
211.4
97.9
30.5
8.7
Use the values listed and a 0.05 significance level to test the claim that the actual frequencies fit a Poisson distribution (or in other words, ""Do World War II Bomb Hits Fit a Poisson Distribution?""):
(a) State the null and alternative hypotheses, indicate the significance level and the type of test (left-, right-, or two-tailed test).
(b) Calculate by hand the test statistic.
(c) Use the appropriate sheet in the Hypothesis Test and Confidence Interval template to complete all relevant computations (including the test statistic: compare with (b) to confirm your calculation is correct). Add a screenshot.
(d) Use the P-value obtained in (c) to explain whether or not the null hypothesis is rejected.
(e) Make a concluding statement.
(f) Does the result in (e) prove that the data conforms (or not) to the Poisson distribution?

Added by Jennifer M.

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