The drug OxyContin (oxycodone) is used to treat pain, but it is dangerous because it is addictive and can be lethal. In clinical trials, 259 subjects were treated with OxyContin and 232 of them developed nausea (based on data from Purdue Pharma L.P.). Use a 10% significance level to test the claim that the proportion of OxyContin users that develop nausea is different from 90%. Procedure: Select an answer One variance χ² Hypothesis Test One mean Z Hypothesis Test One mean T Hypothesis Test One proportion Z Hypothesis Test Assumptions: (select everything that applies) Normal population Population standard deviation is unknown Population standard deviation is known Sample size is greater than 30 The number of positive and negative responses are both greater than 10 Simple random sample Step 1. Hypotheses Set-Up: H0:H0: Select an answer p μ σ² = , where Select an answer σ² p μ is the Select an answer population variance population proportion population mean and the units are Select an answer 100% subjects Ha:Ha: Select an answer σ² μ p ? ≠ > < , and the test is Select an answer Two-Tail Right-Tail Left-Tail Step 2. The significance level α=α= % Step 3. Compute the value of the test statistic: Select an answer f₀ t₀ z₀ χ²₀ = (Round the answer to 3 decimal places) Step 4. Testing Procedure: (Round the answers to 3 decimal places) CVA PVA Provide the critical value(s) for the Rejection Region: Compute the P-value of the test statistic: left CV is and right CV is P-value is Step 5. Decision: CVA PVA Is the test statistic in the rejection region? Is the P-value less than the significance level? ? no yes ? yes no Conclusion: Select an answer Reject the null hypothesis in favor of the alternative. Do not reject the null hypothesis in favor of the alternative. Step 6. Interpretation: At 10% significance level we Select an answer DO NOT DO have sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.
The drug OxyContin (oxycodone) is used to treat pain, but it is dangerous because it is addictive and can be lethal. In clinical trials, 259 subjects were treated with OxyContin and 232 of them developed nausea (based on data from Purdue Pharma L.P.). Use a 10% significance level to test the claim that the proportion of OxyContin users that develop nausea is different from 90%.
Procedure: Select an answer One variance χ² Hypothesis Test One mean Z Hypothesis Test One mean T Hypothesis Test One proportion Z Hypothesis Test
Assumptions: (select everything that applies)
- Normal population
- Population standard deviation is unknown
- Population standard deviation is known
Sample size is greater than 30- The number of positive and negative responses are both greater than 10
- Simple random sample
Step 1. Hypotheses Set-Up:
H0:H0: Select an answer p μ σ² = | , where Select an answer σ² p μ is the Select an answer population variance population proportion population mean and the units are Select an answer 100% subjects |
Ha:Ha: Select an answer σ² μ p ? ≠ > < | , and the test is Select an answer Two-Tail Right-Tail Left-Tail |
Step 2. The significance level α=α= %
Step 3. Compute the value of the test statistic: Select an answer f₀ t₀ z₀ χ²₀ = (Round the answer to 3 decimal places)
Step 4. Testing Procedure: (Round the answers to 3 decimal places)
CVA | PVA |
Provide the critical value(s) for the Rejection Region: | Compute the P-value of the test statistic: |
left CV is and right CV is | P-value is |
Step 5. Decision:
CVA | PVA |
Is the test statistic in the rejection region? | Is the P-value less than the significance level? |
? no yes | ? yes no |
Conclusion: Select an answer Reject the null hypothesis in favor of the alternative. Do not reject the null hypothesis in favor of the alternative.
Step 6. Interpretation:
At 10% significance level we Select an answer DO NOT DO have sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.
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