In: Statistics and Probability
1) Blood Clot Problem
Clinical trials were conducted to test the effectiveness of a drug
to prevent blood clots. Among 5674 patients treated with this drug,
147 developed the adverse reaction of nausea. Use a 0.05
significance level to test the claim that 3% of users develop
nausea.
State the claim, null, and alternative hypothesis.
Claim: | p | [ Select ] ["<", ">", "≠", "="] | 0.03 |
HO: | p | [ Select ] ["≠", ">", "<", "="] | 0.03 |
H1: | p | [ Select ] [">", "=", "<", "≠"] |
0.03 |
2) Blood Clot Problem
Clinical trials were conducted to test the effectiveness of a drug
to prevent blood clots. Among 5674 patients treated with this drug,
147 developed the adverse reaction of nausea. Use a 0.05
significance level to test the claim that 3% of users develop
nausea.
Determine the p-value.
Round your answer to 4 decimal places.
3) Blood Clot Problem
Clinical trials were conducted to test the effectiveness of a drug
to prevent blood clots. Among 5674 patients treated with this drug,
147 developed the adverse reaction of nausea. Use a 0.05
significance level to test the claim that 3% of users develop
nausea.
Determine the test statistic.
Round your answer to 2 decimal places.
4)Blood Clot Problem
Clinical trials were conducted to test the effectiveness of a drug
to prevent blood clots. Among 5857 patients treated with this drug,
156 developed the adverse reaction of nausea. Use a 0.01
significance level to test the claim that 3% of users develop
nausea.
[ Select ] ["Fail to reject", "Reject"] the HO since the p-value is [ Select ] ["greater than", "less than"] the significance level α.
There is [ Select ] ["not sufficient", "sufficient"] evidence to warrant rejection of the claim that 3% of users develop nausea.
Claim is the proportion of users develop nausea is less than 3% after using drug.
Claim: p = 0.03
2)
The p-value is 0.0375.
3)
The test statistics is z = -1.78
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4)
Fail to reject the HO since the p-value is greater than the significance level α. There is not sufficient evidence to warrant rejection of the claim that 3% of users develop nausea.