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Text while Driving According to the research firm Toluna,
Chapter 6, Problem 14AYU(choose chapter or problem)
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.
Questions & Answers
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