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In activity 12, we investigated a study looking at whether exposure to peanut pr

ID: 3132079 • Letter: I

Question

In activity 12, we investigated a study looking at whether exposure to peanut protein early in life is an effective way to reduce the chance of developing a peanut allergy. Look back at the activity to recall the data and what our hypotheses were.

Identify what a Type I Error would mean in the context of this problem.

1.Concluding that exposure to peanut protein is not an effective way to reduce the chance of developing a peanut allergy when in fact it did decrease the proportion of kids with peanut allergies.

2. Concluding that exposure to peanut protein is an effective way to reduce the chance of developing a peanut allergy when in fact it did decrease the proportion of kids with peanut allergies.

3. Concluding that exposure to peanut protein is not an effective way to reduce the chance of developing a peanut allergy when in fact it did not decrease the proportion of kids with peanut allergies.

4. Concluding that exposure to peanut protein is an effective way to reduce the chance of developing a peanut allergy when in fact it did not decrease the proportion of kids with peanut allergies.

Identify what a Type II Error would mean in the context of this problem.

1. Concluding that exposure to peanut protein is not an effective way to reduce the chance of developing a peanut allergy when in fact it did decrease the proportion of kids with peanut allergies.

2. Concluding that exposure to peanut protein is an effective way to reduce the chance of developing a peanut allergy when in fact it did decrease the proportion of kids with peanut allergies.

3.Concluding that exposure to peanut protein is not an effective way to reduce the chance of developing a peanut allergy when in fact it did not decrease the proportion of kids with peanut allergies.

4. Concluding that exposure to peanut protein is an effective way to reduce the chance of developing a peanut allergy when in fact it did not decrease the proportion of kids with peanut allergies.

A migraine is a particularly painful type of headache, which patients sometimes wish to treat with acupuncture. To determine whether acupuncture relieves migraine pain, researchers conducted a randomized controlled study where 89 females diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 43 patients in the treatment group received acupuncture that is specifically designed to treat migraines while 46 patients in the control group received placebo acupuncture. 24 hours after patients received acupuncture, they were asked if they were pain free.

What are the cases in this data set?

What two variables are collected? Tell whether each is categorical or quantitative.

What is the appropriate null hypothesis in words?

What is the appropriate alternative hypothesis in words?

Explain what a Type II error would mean in the context of this problem.

The results were reported as statistically significant at the 10% level showing that acupuncture did increase the proportion of patients who were pain free. This conclusion could actually be an error. What type of error might the researcher’s have made?

What is the probability of a Type I error in this study?

If only 50 women total had volunteered for the study, would the power of the test increase, decrease, or stay the same?

Explanation / Answer

12)A) TYPE 1 ERROR IS THE IN CORRECT REJECTION OF TRUE NULL HYPOTHESIS, HERE THE NULL HYPOTHESIS IS THAT EXPOSURE OF PEANUT IN EARLY AGE REDUCES ITS ALLEGRGY IN FUTURE.

THEREFORE IN THIS CASE THE HYPOTESIS SHOULD BE TRUE WHICH MEANS THERE SHOULD BE DECREASE IN THE ALLERGY AND THE ERROR MUST BE THAT WE CONCLUDE THAT THERE IS NO EFFECT

THEREFORE THE ANSWER WILL BE = 1 OPTION = Concluding that exposure to peanut protein is not an effective way to reduce the chance of developing a peanut allergy when in fact it did decrease the proportion of kids with peanut allergies.

B) TYPE TWO ERROR IS FAILURE TO REJECT THE FALSE NULL HYPOTHESIS

THEREFORE FOR THIS THE HYPOTHESIS SHOULD BE FALSE AND FOR TYPE 2 ERROR WE MUST CONCLUDE THAT IT IS EFFECTIVE

THEREFORE THE OPTION WILL BE OPTION 4 = Concluding that exposure to peanut protein is an effective way to reduce the chance of developing a peanut allergy when in fact it did not decrease the proportion of kids with peanut allergies

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