(a) Write the claim mathematically and identify H_0 and H_a. (b) Find the critic

Question

(a) Write the claim mathematically and identify H_0 and H_a. (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic. (d) Decide whether to reject or fail to reject the null hypothesis. A medical researcher says that at least 26% of adults are smokers. In a random sample of 160 adults, 22.5% say they are smokers. At alpha = 0.04, do you have enough evidence to reject the researcher's claim? (a) Which of the following correctly states H_0 and H_a? A. H_0: p = 0.26 H_a: p notequalto 0.26 B. H_0: p greaterthanorequalto 0.26 H_a: p 0.26 D. H_0: p 0.26 H_a: p lessthanorequalto 0.26 F. H_0: p lessthanorequalto 0.26 H_a: p > 0.26

Explanation / Answer

hypothesis

Ho: p=0.26

Ha: p != 0.26

hence choose A)

standard error = sqrt(0.225 * 0.775/160) = 0.033

test static Z = 0.225 - 0.26/0.033

= -1.06

critical region is Z < -1.75 and Z > 1.75

hence we donot have enough evidence to reject claim

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