Please HELP

1. A scientist has developed a theoretical model for predicting eye color. After examining a random sample of parents, he predicts the eye color of the first child. The table found below lists the eye colors of offspring. On the basis of his theory, he predicted that 87% of the offspring will have brown eyes, 8% will have blue eyes, and 5% will have green eyes.

a) Calculate the expected frequencies. (use a 0.05 significance level to test the claim that the actual frequencies correspond to her predicted distribution, without using chisq.test function in R)

State the following:

- hypothesis

- test-statistic (the distribution and the corresponding degree of freedom)

- p-value

- conclusion of the problem

	Brown eyes	Blue eyes	Green eyes
Observed Frequency	132	17	0
Expected Frequency

b) Use chisq.test function in R to test the claim that the actual frequencies correspond to his predicted distribution, at a 0.05 significance level (please include a SCREENSHOT of the R output for this test)

2. Captopril, which is a drug that is designed to lower systolic blood pressure. When subjects were treated with this drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. Results are given in the accompanying table. Using a 0.01 significance level, determine if is there sufficient evidence to support the claim that captopril has an effect on systolic blood pressure?

a) Using the Wilcoxon signed-ranks test to conduct the required test without using "wilcox.test" function in R. State the hypothesis, the p-value, and the conclusion in the context of the problem

b) Using the Wilcoxon signed-ranks test to conduct the required test using "wilcox.test" function in R.

PLEASE PROVID A SCREENSHOT OF THE R OUTPUT OF THE CALL TO THE FUNCTION wilcox.test.

c) Will you recommend using the Wilcoxon signed-ranks test over the Sign-test? Explain.

Subject	A	B	C	D	E	F	G	H	I	J	K	L
Before	200	174	198	170	179	182	193	209	185	155	169	210
After	191	170	177	167	159	151	176	183	159	145	146	177
Difference	-9	-4	-21	-3	-20	-31	-17	-26	-26	-10	-23	-33
Sign	-	-	-	-	-	-	-	-	-	-	-	-
Rank	3	2	7	1	6	11	5	9.5	9.5	4	8	12
Signed Rank	-3	-2	-7	-1	-6	-11	-5	-9.5	-9.5	-4	-8	-12