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We might be interested in studying the proportion of children living near a lead smelter who...

We might be interested in studying the proportion of children living near a lead smelter who have colic. The prevalence of colic in the general public is estimated to be as low as 7%. According to collected data, there were 124 children and 23 of them had colic.?

(a) Find the estimate the proportion of colicky infants. Give answer up to two decimal places.

b. What will be the right hypotheses? The proportion of colic among children living near lead smelters is p.

c. What will be the value of the test statistic for the right hypothesis? Give answer up to two decimal places.

d. What is the critical region? Test statistic is denoted by w

E. What is the true interpretation of p-value?

(f) At significance level =0.05, what will be the lower limit of confidence interval? Give answer up to two decimal places.

(G) At significance level =0.05, what will be the upper limit of confidence interval? Give answer up to two decimal places.

H. (h) What is your conclusion from the test?

A. H0 is rejected
B. Nothing can be concluded  
C. Fail to reject H0

i. Which of the following are valid ways to decide whether or not to reject H0 ?

A. Whether p-value is less than level of significance

B. both of them  

C. Whether confidence interval contains null hypotheses value 0.07

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