Question

Please DO NOT HANDWRITE

1. Immediately after a ban on using hand-held cell phones while driving was implemented, compliance with the law was measured. A random sample of 1,250 drivers found that 98.9% were in compliance. A year after the implementation, compliance was again measured to see if compliance was the same (or not) as previously measured. A different random sample of 1,100 drivers found 96.9% compliance.

1. State an appropriate null and alternative hypothesis for testing whether or not there is any statistical difference (i.e., a two-sided test) in these two proportions measured initially and then one year later.
2. Conduct the test of hypothesis using a significance level of α= 0.05. Be sure to check the assumptions and conditions for your test. State the P-value of your test and also state your conclusion.  
3. Develop a 95% confidence interval for the true difference in proportions between the first survey and the second survey and explain what this confidence interval means in context of this problem.  

Answer 1

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ANSWER:

explanation:

a) H0: there is no statistical difference in these two proportions measured initially and then one year later.
H1: there is no statistical difference in these two proportions measured initially and then one year later.
Let the los be alpha = 5%

b)

Here P-value < alpha 0.05, so we reject H0

Thus we conclude that  there is no statistical difference in these two proportions measured initially and then one year later.

c)

d)

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