Texting While Driving
The mother of a teenager has heard a claim that 25% 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 25% of these drivers have texted while driving.
Her alternative hypothesis is that the percentage of teenagers who have texted when driving is less than 25%.
H0:p=0.25
Ha:p<0.25
She polls 40 randomly selected teenagers, and 5 of them report having texted while driving, a proportion of 0.125. The p-value is 0.034.
Explain the meaning of the p-value in the context of this question.