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Text while Driving According to the research firm Toluna,

Chapter 6, Problem 14AYU

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QUESTION:

Text while Driving   According to the research firm Toluna, the proportion of individuals who text while driving is 0.26. Suppose a random sample of 60 individuals are asked to disclose if they text while driving. Results of the survey are shown next, where 0 indicates no and 1 indicates yes. Do the data contradict the results of Toluna? Use the \(\alpha=0.05\) level of significance.

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QUESTION:

Text while Driving   According to the research firm Toluna, the proportion of individuals who text while driving is 0.26. Suppose a random sample of 60 individuals are asked to disclose if they text while driving. Results of the survey are shown next, where 0 indicates no and 1 indicates yes. Do the data contradict the results of Toluna? Use the \(\alpha=0.05\) level of significance.

ANSWER:

Answer:

Step 1

Text while Driving According to the research firm Toluna, the proportion of individuals who text while driving is 0.26. Suppose a random sample of 60 individuals are asked to disclose if they text while driving. Results of the survey are shown next, where 0 indicates no and 1 indicates yes. Do the data contradict the results of Toluna? Use the α = 0.05 level of significance.

Here is the proportion of yes =

The Hypotheses can be written as

H0: p  =  0.26         against

H1: p    (two tailed test)

Hypothesis testing about the population proportion is carried out very similarly to the familiar method for hypothesis testing involving the population mean.

Assumptions:

1. Simple random sample of size n  0.05N is collected.

2. If p0 is the assumed value of the population proportion, then 10.

Here, n = 60

Then, = 600.26(1 - 0.26) = 11.544 > 10

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