SOLUTION: Past studies have indicated that the percentage of smokers was estimated to be about 33%. Given the new smoking cessation programs that have been implemented, you now believe that

Question 1176420: Past studies have indicated that the percentage of smokers was estimated to be about 33%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 2215 people and found that 687 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced.
Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places
Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
p hat is 0.31016
assuming random sample etc.,
the test statistic is z=(p hat-p)* sqrt(p(1-p)/n) with critical value of z < -1.645 for a 1 way test
=-0.01984/sqrt(0.33*0.67/2215); sqrt term is 0.01
=-1.984
reject Ho and the number has decreased at the 1% level.
p-value=0.0236.
Note: where you round determines the last digit at the ten-thousandth place.
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