The mother of a teenager has heard a claim that 21% of teenagers who drive and u
ID: 3323884 • Letter: T
Question
The mother of a teenager has heard a claim that 21% of teenagers who drive and use a cell phone reported texting while driving. She thinks that this rate is too high and wants to test the hypothesis that fewer than 21% of these drivers have texted while driving. Her alternative hypothesis is that the percentage of teenagers who have texted when driving is less than 21%. Upper H 0 : p equals 0.21 H0: p=0.21 Upper H Subscript a Baseline : p less than 0.21Ha: p<0.21 She polls 40 randomly selected teenagers, and 44 of them report having texted while driving, a proportion of 0.1. The p-value is 0.044. Explain the meaning of the p-value in the context of this question.
The p-value says that if the true proportion of teenagers who text while driving is_____ then there is only a _____ probability that one would get a sample proportion of______ or smaller with a sample size of______
Explanation / Answer
Using the definition of p-value we have
The p-value says that if the true proportion of teenagers who text while driving is__0.21___ then there is only a __0.044___ probability that one would get a sample proportion of___0.1___ or smaller with a sample size of____440__