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 0.05significance​ level, test the claim that injuries are independent of helmet color.                          Color of Helmet         Black White Yellow Red Blue     Controls​ (not injured)   474 356 36 167 87     Cases​ (injured or​ killed)   199 102 9 69 42 Identify the null and alternative hypotheses. Choose the correct answer below.   A. H0​: Injuries and helmet color are independent H1​: Injuries and helmet color are dependent   B. H0​: Whether a crash occurs and helmet color are dependent H1​: Whether a crash occurs and helmet color are independent   C. H0​: Whether a crash occurs and helmet color are independent H1​: Whether a crash occurs and helmet color are dependent   D. H0​: Injuries and helmet color are dependent H1​: Injuries and helmet color are independent

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.