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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 1700 women from the first country yielded 406 women with anemia and an independently chosen random sample of 2000 women from the second country yielded 542 women with anemia Based on the study can we conclude at the 0 05 level of significance that the proportion P 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 H Ho H 0 b Determine the type of test statistic to use Choose 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 conclu 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 X X O S 00 0 0 p G P OSO olo O

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