Significance level = 0.01 Move the blue dot to choose the appropriate test a 0.1 a0.01 a0.025 a-0.05 -2 2 3 4
Jacqueline, a medical researcher, would like to make the claim that a newly developed prescription medication for headaches gives patients relief in 61 minutes or less, on average. Jacqueline samples 12 users of the medication and obtains a sample mean of 55 minutes.
At the 1% significance level, should Jacqueline reject or fail to reject the null hypothesis given the sample data below?
- H0:μ=61 minutes; Ha:μ<61 minutes
- α=0.01 (significance level)
- test statistic=−1.99
Use the graph below to select the type of test (left-, right-, or two-tailed).
Then set the α and the test statistic to determine the p-value. Use the results to determine whether to reject or fail to reject the null hypothesis.
Select the correct answer below:
1) Reject the null hypothesis because |−1.99|>0.01.
2) Do not reject the null hypothesis because |−1.99|>0.01.
3) Reject the null hypothesis because the p-value 0.0233 is greater than the significance level α=0.01.
4) Do not reject the null hypothesis because the value of z is negative.
5) Do not reject the null hypothesis because the p-value 0.0233 is greater than the significance level α=0.01.
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