9. National statistics show that 23% of men smoke and 18.5% of women do. A random sample of 180 men indicated that 50 were smokes, and of 150 women surveyed, 39 indicated that they smoked. Construct and interpret a 98% confidence interval for the true difference in proportions of male and female smokers. Does your interval support the claim that there is a difference?
Answer:
Given that:
National statistics show that 23% of men smoke and 18.5% of women smoke.
Sample properties
let los be (from z-table)
98% C.I=
...........> Since the above confidence interval contains '0'.So the result is not significant.
therefore We can't conclude that there exit difference between the properties of male and female smokers.
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