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In: Statistics and Probability

A researcher wanted to determine whether certain accidents were uniformly distributed over the days of the...

A researcher wanted to determine whether certain accidents were uniformly distributed over the days of the week. The data show the day of the week for nequals295 randomly selected accidents. Is there reason to believe that the accident occurs with equal frequency with respect to the day of the week at the alphaequals0.05 level of​ significance? LOADING... Click the icon to view the table. Let p Subscript i ​= the proportion of accidents on day ​i, where i​ = 1 for​ Sunday, i​ = 2 for​ Monday, etc. What are the null and alternative​ hypotheses? A. H0​: p 1 equals p 2 equals ... equals p 7 equals one seventh H1​: At least one proportion is different from the others. B. H0​: p 1 equals p 2 equals ... equals p 7 equals one seventh H1​: More accidents occur earlier in the week than later. C. H0​: At least one proportion is different from the others. H1​: p 1 equals p 2 equals ... equals p 7 equals one seventh D. H0​: p 1 equals p 2 equals ... equals p 7 equals one seventh H1​: More accidents occur later in the week than earlier. Compute the expected counts for day of the week. Day of the Week Observed Count Expected Count Sunday 38 nothing Monday 42 nothing Tuesday 28 nothing Wednesday 38 nothing Thursday 41 nothing Friday 48 nothing Saturday 60 nothing ​(Round to two decimal places as​ needed.) What is the test​ statistic? chi Subscript 0 Superscript 2 equals nothing ​(Round to three decimal places as​ needed.) What is the​ P-value of the​ test? ​P-valueequals nothing ​(Round to three decimal places as​ needed.) Based on the​ results, do the accidents follow a uniform​ distribution? A. Do not reject Upper H 0​, because the calculated​ P-value is less than the given alpha level of significance. B. Do not reject Upper H 0​, because the calculated​ P-value is greater than the given alpha level of significance. C. Reject Upper H 0​, because the calculated​ P-value is greater than the given alpha level of significance. D. Reject Upper H 0​, because the calculated​ P-value is less than the given alpha level of significance. Click to select your answer(s).

Accidents

Day of the Week

Sunday

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Frequency

38

42

28

38

41

48

60

Solutions

Expert Solution


orchestra answered 2 years ago
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