The p-value says that if the true proportion of teenagers who text while driving

Question

The p-value says that if the true proportion of teenagers who text while driving is (.23/.40/40/.1/23/.026), then there is only a (.23/.40/40/.1/23/.026) probability that one would get a sample proportion of (.23/.40/40/.1/23/.026) or a smaller sample size of (.23/.40/40/.1/23/.026).

The mother of a teenager has heard a claim that 23% 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 23% of these drivers have texted while driving. Her alternative hypothesis is that the percentage of teenagers who have texted when driving is less than 23%. Ho: p 0.23 Ha: p

Explanation / Answer

The p-value says that if the true proportion of teenagers who text while driving is 0.23 , then there is only a 0.026 probability that one would get a sample proportion of 0.1 or a smaller sample size of 40 .

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