Math

StatisticsQ&A LibraryJacqueline, 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=−1.99Answer for the above question:Do not reject the null hypothesis because the p-value 0.0233 is greater than the significance level α=0.01.Jacqueline is making the claim that the average time it takes the headache medication to work is less than 61 minutes. Therefore, this is a left-tailed test because of “less than". Since this is a left-tailed test, α and p-value will be areas on the left side of the distribution.In making the decision to reject or not reject H0, recall the criterion for comparing the p−value to α. If p≤α, reject H0. Since the p-value 0.0233 is greater than the significance level α=0.01, do not reject the null hypothesis. QUESTION:Using the information above, choose the correct conclusion for this hypothesis test. Select the correct answer below: 1) There is sufficient evidence to conclude that the headache medication gives patients relief in 61 minutes or less, on average. 2) There is NOT sufficient evidence to conclude that the headache medication gives patients relief in 61 minutes or less, on average. 3.) There is sufficient evidence to conclude that the headache medication gives patients relief in 55 minutes or less, on average. 4.) There is NOT sufficient evidence to conclude that the headache medication gives patients relief in 55 minutes or less, on average.Question

Asked Oct 8, 2019

61 views

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

Answer for the above question:

Do not reject the null hypothesis because the p-value 0.0233 is greater than the significance level α=0.01.

Jacqueline is making the claim that the average time it takes the headache medication to work is less than 61 minutes. Therefore, this is a left-tailed test because of “less than". Since this is a left-tailed test, α and p-value will be areas on the left side of the distribution.

In making the decision to reject or not reject H0, recall the criterion for comparing the p−value to α. If p≤α, reject H0.

Since the p-value 0.0233 is greater than the significance level α=0.01, do not reject the null hypothesis.

QUESTION:

Using the information above, choose the correct conclusion for this hypothesis test.

Select the correct answer below:

1) There is sufficient evidence to conclude that the headache medication gives patients relief in 61 minutes or less, on average.

2) There is NOT sufficient evidence to conclude that the headache medication gives patients relief in 61 minutes or less, on average.

3.) There is sufficient evidence to conclude that the headache medication gives patients relief in 55 minutes or less, on average.

4.) There is NOT sufficient evidence to conclude that the headache medication gives patients relief in 55 minutes or less, on average.

Step 1

*Rejection rule:...*

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Suppose that the current measurements in a strip of wire are assumed to follow a normal distribution...

A: The probability that a measurement exceeds 15 milliamperes is 0.8944 and it is obtained below: From ...

Q: Name: Perform the hypothesis testing for question 2B. Calculate Z Statistic, compare statistic to cr...

A: Hypotheses:Null hypothesis:H0: µ ≤ 1,500Alternative hypothesis:H1: µ > 1,500Since the alternative...

Q: You are testing the null hypothesis µ=55 versus the two tailed alternative. You fail to reject the n...

A: It is given that,Null Hypothesis : µ = 55Alternative hypothesis : µ ≠ 55

Q: A survey asked 50 baseball fans to report the number of games they attended last year. The results ...

A: Frequency distribution:The number of times each value of X repeats is the frequency of that particul...

Q: According to the ACT Profile Report-National, the ACT composite scores are normally distributed with...

A: The provided sample mean is x̄ = 19.8 and the known population standard deviation is σ = 5.4,and th...

Q: An experiment consists of tossing a coin and observing the side that lands up and then rolling a fai...

A: Event Space: A set of outcomes of an experiment is called an event. Thus, an event space contains se...

Q: Compare the sample mean (3.25) for these drinking data to the population mean (µ = 3.00; σ = 0.75). ...

A: The sample mean is given by 3.25.

Q: Correct 3 An economist wants to estimate the mean per capita income (in thousands of dollars) for a ...

A: Solution: We are given:

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally...

A: Finding the value of z at lowest 14-1.08032 ( From Excel =NORM.S.INV(0.14))Finding the value of z at...