1 A) An investigator is using a chi-square test to compare the proportion of pat

Question

1 A) An investigator is using a chi-square test to compare the proportion of patients with a successful recovery after receiving one of 4 treatments. There were 25 subjects in each group. What is the critical value for testing no association or treatment and response?

B)A sample of 100 observations is selected from a normal population with a mean of =5 and a standard deviation of =40

What is the probability that a sample mean for the above will be greater than 1?

C)What is the relationship between the critical value with the level of significance (alpha)?

Explanation / Answer

A) here level of significance is not mentioned. so let it is 5%.

there are k=4 groups. so its degree of freedom will be k-1=4-1=3,critical value chi-square(0.05,3)=7.81

B) here we calcuate z=(x--mean)/(/sqrt(n))=(1-5)/(40/sqrt(100))=-1

P(z>-1)=1-P(z<-1)=1-0.1587=0.8413

C) higher the level of significance lower the critical value and vice versa

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