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 2200 women from the first country yielded 457 women with anemia, and an independently chosen, random sample of 1700 women from the second country yielded 372 women with anemia. Based on the study can we conclude, at the 0.05 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. H₁ : 0 H₁:0 (b) Determine the type of test statistic to use. (Choose one) μ a x S ローロ □≤o (c) Find the value of the test statistic. (Round to three or more decimal places.) □≠□ □<口 р

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.EA: Extended Application Contagion
Problem 2EA
icon
Related questions
Question
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 2200
women from the first country yielded 457 women with anemia, and an independently chosen, random sample of 1700 women from the second country yielded
372 women with anemia.
Based on the study can we conclude, at the 0.05 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.
H₁ : 0
H₁:0
(b) Determine the type of test statistic to use.
(Choose one)
μ
a
x
S
ローロ
□≤o
(c) Find the value of the test statistic. (Round to three or more decimal places.)
□≠□
□<口
р
<Q
O<0
(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
No
X
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 2200 women from the first country yielded 457 women with anemia, and an independently chosen, random sample of 1700 women from the second country yielded 372 women with anemia. Based on the study can we conclude, at the 0.05 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. H₁ : 0 H₁:0 (b) Determine the type of test statistic to use. (Choose one) μ a x S ローロ □≤o (c) Find the value of the test statistic. (Round to three or more decimal places.) □≠□ □<口 р <Q O<0 (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 No X
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax