document.write( "Question 780109: A medical researcher says that at least 23% of adults are smokers. In a random sample 250 adults, 22.4% say they are smokers. At alpha=0.03, is there enough evidence to the reject the researcher's claim? What is critical value of zo? What is the standardized test static? What would be the correct conclusion of the test? Fail to reject or reject?\r
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Q:
\n" ); document.write( "A medical researcher says that at least 23% of adults are smokers. In a random sample 250 adults, 22.4% say they are smokers. At alpha=0.03, is there enough evidence to the reject the researcher's claim? What is critical value of zo? What is the standardized test static? What would be the correct conclusion of the test? Fail to reject or reject?
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\n" ); document.write( "A:
\n" ); document.write( "Null Hypothesis, \"H%5B0%5D\": p ≥ 0.23
\n" ); document.write( "Alternative Hypothesis, \"H%5B1%5D\": p < 0.23
\n" ); document.write( "α = 0.03
\n" ); document.write( "Critical Value: \"z%5B.03%5D\" = -1.8808
\n" ); document.write( "Test Stat: z = \"%280.224-0.23%29%2Fsqrt%280.23%2A%281-0.23%29%2F250%29\" = -0.2254
\n" ); document.write( "Fail to reject \"H%5B0%5D\" because the test statistic is NOT lower than the critical value. Sample does NOT provide enough evidence to reject the medical researcher's claim.
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