Question

In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300 answered...

In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300 answered yes. In 2000, same question was asked to 2000 adults, 500 answered yes. Assuming two samples are independent. Is there evidence that the proportion of smokers was higher in 1990 than in 2000? Test at a = .05.

Math   Statistics-And-Probability   
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Answer #1

Total number of sample 1 (n1) = 1000

Total number of sample 2 (n2) = 2000

number of favourable events (X1) = 300

number of favourable events (X2) = 500

We are interested in testing the hypothesis

Decision Rule: Reject the null hypothesis if the test statistic value is greater than the critical value 1.6448536269514722

The statistic value, 2.9193 is greater than the critical value 1.6448536269514722. Hence, reject the null hypothesis.

There is evidence that the proportion of smokers was higher in 1990 than in 2000

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