metric secunntg Testing Claims About Proportions. In Exercises 9-32, test the gi
ID: 2934262 • Letter: M
Question
metric secunntg Testing Claims About Proportions. In Exercises 9-32, test the given claim. Identify the nall hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the normal distribution as an approximation to the binomial distribution, as described in Part 1 of this section. m QSR 10. Eliquis The drug Eliquis (apixaban) is used to help prevent blood clots in certain patients. In clinical trials, among 5924 patients treated with Eliquis, 153 developed the adverse reaction of nausea (based on data from Bristol-Myers Squibb Co.). Use a 0.05 significance level to test the claim that 3% of Elíquis users develop nausea. Does nausea appear to be a problematic adverse reaction?Explanation / Answer
Solution:-
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State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: P > 0.10
Alternative hypothesis: P < 0.10
Note that these hypotheses constitute a one-tailed test.
Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method, shown in the next section, is a one-sample z-test.
Analyze sample data. Using sample data, we calculate the standard deviation () and compute the z-score test statistic (z).
= sqrt[ P * ( 1 - P ) / n ]
= 0.01732
z = (p - P) /
z = - 0.58
where P is the hypothesized value of population proportion in the null hypothesis, p is the sample proportion, and n is the sample size.
Since we have a one-tailed test, the P-value is the probability that the z-score is less than - 0.58. We use the Normal Distribution Calculator to find P(z < - 0.58) = 0.281
Interpret results. Since the P-value (0.281) is more than the significance level (0.05), we have to accept the null hypothesis.
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