An article reported that a survey of clothing worn by pedest

An article reported that a survey of clothing worn by pedestrians killed at night in traffic accidents revealed that about 80 percent of the victims were wearing dark-colored and 20 percent were wearing light-colored clothing. The conclusion drawn in the article was that it is safer to wear light-colored clothing at night… a. Is this conclusion justified? Explain… b. If your answer to (a) is NO, what other information would be needed before a final conclusion could be drawn?

Solution

Let us create hypothesis first as

H0: p 1 =p2

Ha: p1>p2

p1 -p2 = 0.6

For further continuing the number of persons surveyed should be available with out that we cannot find std error.

Hence The conclusion may be justified apparently, but if sample size is very small, this is not justified

Hence sample size should be given and proper statistical tests conducted to accept or reject.