Question

# A​ case-control (or​ retrospective) study was conducted to investigate a relationship between the colors of helmets...

A​ case-control (or​ retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.05 significance​ level, test the claim that injuries are independent of helmet color. Color of Helmet Black White Yellow Red Blue Controls​ (not injured) 469 363 33 152 75 Cases​ (injured or​ killed) 203 105 9 62 35 Click here to view the chi-square distribution table.LOADING...

Identify the null and alternative hypotheses.

Choose the correct answer below.

A. Upper H 0​: Injuries and helmet color are independent Upper H 1​: Injuries and helmet color are dependent

B. Upper H 0​: Injuries and helmet color are dependent Upper H 1​: Injuries and helmet color are independent

C. Upper H 0​: Color of helmet is independent of gender Upper H 1​: Color of helmet is dependent on gender

D. Upper H 0​: Whether a crash occurs and helmet color are dependent Upper H 1​: Whether a crash occurs and helmet color are independent

Compute the test statistic. ​(Round to three decimal places as​ needed.)

Find the critical​ value(s). ​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)

What is the conclusion based on the hypothesis​ test? Reject Fail to reject Upper H 0. There is is not sufficient evidence to warrant rejection of the claim that injuries are independent of helmet color.

A. H0​: Injuries and helmet color are independent

H1​: Injuries and helmet color are dependent

==========================================

Tabulated Statistics: C1, Worksheet columns

Rows: C1   Columns: Worksheet columns

 Black White Yellow Red Blue All not injured 469 363 33 152 75 1092 Expected count(E) 487.27 339.35 30.45 155.17 79.76 injured 203 105 9 62 35 414 Expected count 184.73 128.65 11.55 58.83 30.24 All 672 468 42 214 110 1506

Cell Contents
Count

Chi-Square Test

 Chi-Square DF P-Value Pearson 10.532 4 0.0324

=========================

==============================

==============================

Reject Ho

is

#### Earn Coins

Coins can be redeemed for fabulous gifts.