6. As part of an investigation into motorway accidents in Greater Manchester, it was hypothesised that weather conditions were an important factor. Research revealed that in wet weather the M61, M62 and M63 experienced 32, 272 and 96 accidents. In dry weather, the figures were 32, 281 and 30. i. Formulate null and alternative hypothesis for this test ii. Calculate the chi-squared statistic iii. State the degrees of freedom in this case. iv. Test the chi-square statistic at 1% level and state your conclusions in everyday language.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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6. As part of an investigation into motorway accidents in Greater Manchester, it
was hypothesised that weather conditions were an important factor. Research
revealed that in wet weather the M61, M62 and M63 experienced 32, 272 and
96 accidents. In dry weather, the figures were 32, 281 and 30.
i. Formulate null and alternative hypothesis for this test
ii. Calculate the chi-squared statistic
iii. State the degrees of freedom in this case.
iv. Test the chi-square statistic at 1% level and state your conclusions
in everyday language.
Transcribed Image Text:6. As part of an investigation into motorway accidents in Greater Manchester, it was hypothesised that weather conditions were an important factor. Research revealed that in wet weather the M61, M62 and M63 experienced 32, 272 and 96 accidents. In dry weather, the figures were 32, 281 and 30. i. Formulate null and alternative hypothesis for this test ii. Calculate the chi-squared statistic iii. State the degrees of freedom in this case. iv. Test the chi-square statistic at 1% level and state your conclusions in everyday language.
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