A paper reported that in a representative sample of 294 American teens age 16 to
ID: 3250193 • Letter: A
Question
A paper reported that in a representative sample of 294 American teens age 16 to 17, there were 79 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) State your conclusion Do not reject H_0. We have convincing evidence that more than a quarter of Americans age 16 to 17 have sent a text message while driving. Reject H_0. 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 H_0. 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 H_0. We do not have convincing evidence that more than a quarter of Americans age 16 to 17 have sent a text message while driving.Explanation / Answer
The results are as follows from where
Z=0.74
P=02294
Option-3: Do not reject H0. We do not have convincing evidence that more than a quarter of americans age 16-17 have sent a text message while driving.
Z Test of Hypothesis for the Proportion
Data
Null Hypothesis p=
0.25
Level of Significance
0.01
Number of Successes
79
Sample Size
294
Intermediate Calculations
Sample Proportion
0.268707483
Standard Error
0.025253814
Z Test Statistic
0.74
Upper-Tail Test
Upper Critical Value
2.326347874
p-Value
0.2294
Do not reject the null hypothesis
Z Test of Hypothesis for the Proportion
Data
Null Hypothesis p=
0.25
Level of Significance
0.01
Number of Successes
79
Sample Size
294
Intermediate Calculations
Sample Proportion
0.268707483
Standard Error
0.025253814
Z Test Statistic
0.74
Upper-Tail Test
Upper Critical Value
2.326347874
p-Value
0.2294
Do not reject the null hypothesis
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