A medical researcher says that less than 25?% of adults in a certain country are smokers. In a random sample of 250 adults from that? country, 18?% say that they are smokers. At =0.05, is there enough evidence to support the researcher's claim?
1. Stat the null and alternative hypothesis
2. What is the P-Value?
3. What is the Test Statistic?
4. State the conclusion in Text
(1) Claim is that less than 25% of adults in a certain country are smokers
Null hypothesis Ho: p = 0.25
Alternate hypothesis H1:- p < 0.25 (claim)
(2) population proportion po = 0.25 and sample proportion
= 0.18
sample size n = 250
p value = 0.0052 [From z table for z = -2.56]
(3) test statistic is z = -2.56 (calculated in previous part)
(4) we can see that p value(0.0052) < significance level 0.05, rejecting the null hypothesis
Conclusion:_ there is sufficient evidence to support the claim that less than 25% of adults in a certain country are smokers
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