Question

In: Statistics and Probability

1) Blood Clot Problem Clinical trials were conducted to test the effectiveness of a drug to...

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.

Solutions

Expert Solution

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.


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