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As more Americans use cell phones, they question where it is okay to talk on cell phones. The follow

Question: As more Americans use cell phones, they question where it is okay to talk on cell phones. The following is a table of results, in percentages, for 2000 and 2006. Suppose the survey was based on 100 respondents in 2000 and 100 respondents in 2006.

	Year
OKAY TO TALK ON A CELL PHONE IN A	2000	2006
Bathroom	39	38
Movie/theater	11	2
Car	76	63
Supermarket	60	66
Public transit	52	45
Restaurant	31	21

a. At the .05 level of significance, if there evidence that the proportion of Americans who thought it was okay to use a cell phone in a car in 2000 is significantly greater than the proportion of Americans who thought it was okay to use a cell phone in a car in 2006?

Complete the following:
1. State H₀.	\[{{p}_{1}}={{p}_{2}}\]
2. State H₁.	\[{{p}_{1}}>{{p}_{2}}\]
3. State the value of α.	0.05
4. State the value of the test statistic.	1.9966
5. State the p-value.	0.0229
6. State the decision in terms of H₀ and why.	Reject Ho (Since p < 0.05)
7. State the decision in terms of the problem.	There is enough evidence to claim that the proportion of Americans who thought it was okay to use a cell phone in a car in 2000 is significantly greater than the proportion of Americans who thought it was okay to use a cell phone in a car in 2006

b. Construct a 95% confidence interval estimate of the difference between the proportion of Americans who thought it was okay to use a cell phone in a car in 2000 and the proportion of Americans who thought it was okay to use a cell phone in a car in 2006. Do the results of the hypothesis test and confidence interval agree? Explain.

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