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 469 women with iron-deficiency anemia, and an independently chosen, random sample of 2000 women from the second country yielded 531 women with iron-deficiency anemia. Can we conclude, at the 0.05 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 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 H, and the alternative hypothesis H,. H. :0 H, :0 |(b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO |(c) Find the value of the test statistic. (Round to three or more decimal places.) O

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
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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 469 women with iron-deficiency anemia, and an independently chosen, random sample of 2000 women from the second country yielded
531 women with iron-deficiency anemia. Can we conclude, at the 0.05 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 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 H, and the alternative hypothesis H,.
H. :0
H, :0
(b) Determine the type of test statistic to use.
(Choose one)
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(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?
OYes ONo
Transcribed Image Text: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 469 women with iron-deficiency anemia, and an independently chosen, random sample of 2000 women from the second country yielded 531 women with iron-deficiency anemia. Can we conclude, at the 0.05 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 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 H, and the alternative hypothesis H,. H. :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (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? OYes ONo
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