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A researcher studied irondeficiency anemia in women in each of two developing countries. Differences in the dietary habits between the two countries led the researcher
A researcher studied irondeficiency 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 4.32 women with anemia, and an independently chosen, random sample of 2300 women from the second country yielded 486 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 onetailed 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 necessaryr consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1. [-1 0. H0: _ H 1 (b) Determine the type of test statistic to use. W |(Choose one) Y | = 5r (c) Finc the value of the test statistic. (Round to three or more decimal places.) (d) Finc the pvalue. (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? C! Yes C' No
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