Question

Please include degrees freedom with type of test statistic if applies. thank you!!

answer all boxes please. Will rate

Let p, and p, be the respective proportions of women with iron-deficiency anemia in each of two developing countries. A random sample of 1800 women from the first country yielded 500 women with iron-deficiency anemia, and an independently chosen, random sample of 2500 women from the second country yielded 764 women with iron-deficiency anemia. Can we conclude, at the 0.1 level of significance, that the proportion of women with anemia in the first country is less than the proportion of women with anemia in the second country? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis: The alternative hypothesis: H : 1 O=D Oso 020 The type of test statistic: (Choose one) 00 OOO> The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) In Can we conclude that the proportion of women with anemia in the first country is less than the proportion of women with anemia in the second country? Yes No

Answer 1

1)

null Hypothesis:    Ho:    p1 >= p2

alternate Hypothesis: Ha:   p1 < p2

2)type of test statistic =z

3)

	first		second
x1                =	500	x2                =	764
p̂1=x1/n1 =	0.2778	p̂2=x2/n2 =	0.3056
n1                       =	1800	n2                       =	2500
estimated prop. diff =p̂1-p̂2    =		-0.0278
pooled prop p̂ =(x1+x2)/(n1+n2)=		0.2940
std error Se=√(p̂1*(1-p̂1)*(1/n1+1/n2) =		0.0141
test stat z=(p̂1-p̂2)/Se =		-1.976

4)

p value = 0.024

5)

Yes (since p value <0.10)