Question

#1 How would the 98% confidence interval's CENTER be different from the 95% interval? *

A) The center would be larger for the 98% interval

B) The center would stay the same

C) The center would be smaller for the 98% interval

#2 How would the 98% confidence interval's WIDTH be different from the 95% interval? *

A) The width would be greater for the 98% interval

B) The width would stay the same

C) The width would be smaller for the 98% interval

(ANSWER THE NEXT Q´S AFTER READING THIS STUDY) High-risk children who consumed peanut products from infancy until they were 5 years old were significantly less likely to develop a peanut allergy than those who avoided peanuts, according to the LEAP randomized trial. The 640 infants in the trial were aged 4 to 11 months at enrollment, and all had severe eczema, egg allergy, or both. Participants in each cohort were randomly assigned to consume a peanut protein containing bar or to avoid peanuts. Among the 530 infants in (one) cohort, the prevalence of peanut allergy at 60 months was 13.7% in the avoidance group and 1.9% in the consumption group. The absolute difference in risk of 11.8% represents an 86.1% relative reduction in the prevalence of peanut allergy.

#3 What is the treatment variable in this study

A) having severe eczema and/or egg allergies or not

B) having allergies to peanuts or not

C) consuming peanut protein bar or avoiding peanuts

#4 What is the response variable in the study?

A) having severe eczema and/or egg allergies or not

B) having allergies to peanuts or not

C) consuming peanut protein bar or avoiding peanuts

#5 What would be the null hypothesis for this study?

A) Ho: pi = 0

B) Ho: pi1 - pi2 = 0

C) Ho: mu = 0

D) Ho: mu1 - mu2 = 0

Answer 1

Where E is Margin of error

So, center is independent of confidence level

So, B) The center would stay the same

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And width W = 2E

And E is dependent on significance level

Higher the alpha higher will be E and width too

So, (A) The width would be greater for the 98% interval