Advanced Placement (AP) College

Chi-Square A random sample of fatal accidents in the US that involved drivers with a BAC (Blood Alcohol Content) of 0.08 or greater was taken. Data was recorded on gender and age group. Gender Female Men 16-20 55 150 21-30 140 275 Age Group 31-40 140 260 41-50 125 220 51-60 60 150 61 10 45 1 Is there convincing evidence that there is an association between gender and age groups for fatal accidents that involve driving while intoxicated?​

Answers

Answer 1

We reject the null hypothesis and this shows that there is overwhelming evidence that there is a link between gender groups and dr--unk-driving accidents.

How to solve

         Men  Female

16-20      150     55

21-30      275    140

31-40      260    140

41-50      220    125

51-60      150     60

61+         45     10

First, we need to find the expected values for each cell. The expected value for a cell is calculated as (row total * column total) / grand total.

Row totals:

16-20: 205

21-30: 415

31-40: 400

41-50: 345

51-60: 210

61+: 55

Column totals:

Men: 1100

Female: 530

Grand total: 1630

Now we can calculate the expected values:

          Men       Female

16-20     (1100*205)/1630  (530*205)/1630

21-30     (1100*415)/1630  (530*415)/1630

31-40     (1100*400)/1630  (530*400)/1630

41-50     (1100*345)/1630  (530*345)/1630

51-60     (1100*210)/1630  (530*210)/1630

61+       (1100*55)/1630   (530*55)/1630

Now, calculate the Chi-Square statistic: Χ² = Σ((observed - expected)² / expected)

Χ² ≈ 19.47

df= 5

p-value is 0.0016

Thus, we reject the null hypothesis and this shows that there is overwhelming evidence that there is a link between gender groups and dr--unk-driving accidents.

Read more about chi-squares here:

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Related Questions

True or false it is not required that all school staff responsible for collection, review and maintenance of child immunization records take this child care immunization course 30 calendar days after employment and then annually

Answers

Answer:

False.

Explanation:

All relevant school staff must take immunization course annually.

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