A paper reported that in a representative sample of 282 American teens age 16 to 17, there were 77 who indicated that they had sent a text message while driving. For purposes of this exercise, assume...

Extracted text: A paper reported that in a representative sample of 282 American teens age 16 to 17, there were 77 who indicated that they had sent a text message while driving. For purposes of this exercise, assume that this sample is a random sample of 16- to 17-year-old Americans. Do these data provide convincing evidence that more than a quarter of Americans age 16 to 17 have sent a text message while driving? Test the appropriate hypotheses using a significance level of 0.01. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State your conclusion. O Do not reject H,- We do not have convincing evidence that more than a quarter of Americans age 16 to 17 have sent a text message while driving. O Do not reject H,. We have convincing evidence that more than a quarter of Americans age 16 to 17 have sent a text message while driving. O Reject H,. We do not have convincing evidence that more than a quarter of Americans age 16 to 17 have sent a text message while driving. O Reject Hg. We have convincing evidence that more than a quarter of Americans age 16 to 17 have sent a text message while driving.