Question

In this assignment you will use the Chi-squared test for differences in probabilities and the Median test. Check your results using R also; submit your code R. Problem A: 2 x 2 Chi-squared test for differences in proba- bilities Ten men and 10 women were asked to try a new toot hpaste and to state whether they liked or did not like the new taste. 4 men and 3 women said they did not like the new taste. Does this indicate a difference in preferences between men and women in general?

Answer 1

			c1	c2	total
		r1	4	6	10
		r2	3	7	10
		total	7	13	20
		Oi	4	6	3	7
		Ei	3.5	6.5	3.5	6.5
							TS
		(O--Ei)^2/Ei	0.071429	0.038462	0.071429	0.038462	0.21978
		critical value	3.84
	p-value	0.639207431

p-value = 0.639 > 0.05

hence we fail to reject the null hypothesis