A researcher studied iron-deficiency anemia in women in each of two developing countries. Differences in the dietary habits between the two countries led the researcher to believe that anemia is less prevalent among women in the first country than among women in the second country. A random sample of 2400 women from the first country yielded 461 women with anemia, and an independently chosen, random sample of 2200 women from the second country yielded 440 women with anemia. Based on the study can we conclude, at the 0.10 level of significance, that the proportion p₁ of women with anemia in the first country is less than the proportion p₂ of women with anemia in the second country? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. μ Р Ho :O H₁ :0 (b) Determine the type of test statistic to use. ose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) 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? O Yes O No |x X 04 ロ=ロ a S J OSO 020 #0 □ <ロ
A researcher studied iron-deficiency anemia in women in each of two developing countries. Differences in the dietary habits between the two countries led the researcher to believe that anemia is less prevalent among women in the first country than among women in the second country. A random sample of 2400 women from the first country yielded 461 women with anemia, and an independently chosen, random sample of 2200 women from the second country yielded 440 women with anemia. Based on the study can we conclude, at the 0.10 level of significance, that the proportion p₁ of women with anemia in the first country is less than the proportion p₂ of women with anemia in the second country? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. μ Р Ho :O H₁ :0 (b) Determine the type of test statistic to use. ose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) 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? O Yes O No |x X 04 ロ=ロ a S J OSO 020 #0 □ <ロ
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A researcher studied iron-deficiency anemia in women in each of two developing countries. Differences in the dietary habits between the two countries led the
researcher to believe that anemia is less prevalent among women in the first country than among women in the second country. A random sample of 2400
women from the first country yielded 461 women with anemia, and an independently chosen, random sample of 2200 women from the second country yielded
440 women with anemia.
Based on the study can we conclude, at the 0.10 level of significance, that the proportion p₁ of women with anemia in the first country is less than the
proportion p₂ of women with anemia in the second country?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of
formulas.)
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
μ
Р
Ho :O
H₁ :0
(b) Determine the type of test statistic to use.
ose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the p-value. (Round to three or more decimal places.)
(e) 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?
O Yes O No
|x
X
04
a
X
S
<Q
2
Olo
ロ=ロ OSO 020
#0 □ <ロ
G
O<O
?
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