somkers a medical researcher says that less than 25% of U.S adults are smokers. In a...

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somkers a medical researcher says that less than 25% of U.S adults are smokers. In a...

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a medical researcher says that less than 25% of U.S adults are smokers. In a random sample of 200 U.S . adukts , 19.3% say thag they are smokers . At 0.05 is there enough evidence to support the researcher claim?

math Statistics-And-Probability

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Answer 1

Answer #1

Null hypothesis

Alternative hypothesis

We have for given example,
Population proportion value is =0.25
x=38.6

n=200
Level of significance =   0.05
Estimate for sample proportion = 0.193

Z test statistic formula for proportion

P value is 0.0314.........................by using Excel command NORMSDIST(-1.86) or by using Z table.

P value is 0.0314 < 0.05

Therefore, we reject H0.

Conclusion: We have sufficient evidence at to say that, t less than 25% of U.S adults are smokers.

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Answer 2

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