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A medical researcher says that less than 26% of adults in a certain country are

ID: 3291987 • Letter: A

Question

A medical researcher says that less than 26% of adults in a certain country are smokers. In a random sample of 250 adults from that country, 16.8% say that they are smokers. At alpha = 0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H_0 and H_a. What is the claim? A. Less than 26% of adults in the country are smokers. B. Exactly 16.8% of all adults are smokers. C. Less than 26% of all adults are smokers. D. Exactly 16.8% of adults in the country are smokers. Identify H_0 and H_a. H_0: p H_a: p (Type integers or decimals.) (b) Find the critical value (s) and identify the rejection region (s). The critical value (s) is/are z_0 =. (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is/are the rejection region (s)? Select the correct choice below and fill in the answer box (es) to complete your choice. (Round to three decimal places as needed.) A. z

Explanation / Answer

using statdisk

Alternative Hypothesis:
p < p(hyp)

Sample proportion: 0.168
Test Statistic, z: -3.3163
Critical z: -1.6449
P-Value: 0.0005

90% Confidence interval:
0.1291068 < p < 0.2068932

a) option a

h0:p>26

ha:p<26

b)Test Statistic, z: -3.3163 = -3.316

Critical z: -1.6449 = -1.645

z< -.1.645

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