Math  /  Data & Statistics

QuestionConsider a drug that is used to help prevent blood clots in certain patients. In clinical trials, among 6178 patients treated with this drug, 155 developed the adverse reaction of nausea. Use a 0.01 significance level to test the claim that 3%3 \% of users develop nausea. Does nausea appear to be a problematic adverse reaction?
Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. H0:p=0.03\mathrm{H}_{0}: p=0.03 H1:p0.03H_{1}: p \neq 0.03 B. H0:p=0.03H_{0}: p=0.03 H1:p<0.03H_{1}: p<0.03 C. H0:p=0.03H_{0}: p=0.03 H1:p>0.03H_{1}: p>0.03 D. H0:p0.03H_{0}: p \neq 0.03 H1:p=0.03H_{1}: p=0.03 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is \square . (Round to two decimal places as needed.)

Studdy Solution
The correct hypothesis test is **A**. H0:p=0.03H_0: p = 0.03, H1:p0.03H_1: p \neq 0.03.
The test statistic is approximately **-2.26**.
Since this value is quite far from zero, it suggests that the nausea rate might indeed be different from 3%.
Further calculations (p-value and comparison with the significance level) are needed to make a definitive conclusion about whether nausea is a "problematic" adverse reaction.

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