The mother of a teenager has heard a claim that 25 of

Question

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
H_a: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.