9.
A paper reported that in a representative sample of 299 American teens age 16 to 17, there were 78 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.
Do not reject H0. We have convincing evidence that more than a quarter of Americans age 16 to 17 have sent a text message while driving.
Reject H0. We do not have convincing evidence that more than a quarter of Americans age 16 to 17 have sent a text message while driving.
Reject H0. We have convincing evidence that more than a quarter of Americans age 16 to 17 have sent a text message while driving.
Do not reject H0. We do not have convincing evidence that more than a quarter of Americans age 16 to 17 have sent a text message while driving.
You may need to use the appropriate table in Appendix A to answer
this question.
The statistical software output for this problem is:
From above output:
z = 0.43
P = 0.3321
Conclusion: Do not reject H0. We do not have convincing evidence that more than a quarter of Americans age 16 to 17 have sent a text message while driving.
Option D is correct.
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