7. A recent study used umbilical cord blood to test for 25 indicator of vitamin

Question

7. A recent study used umbilical cord blood to test for 25 indicator of vitamin D status of the baby. It was reported that 65% of deficient in vitamin D in spite of the fact that the mothers consumed vitamin D supplements during pregnancy. A researcher in a hydroxyvitamin D, which is an babies tested were northern region felt that this percentage was too high for this region because with the reduced hours of sunshine during winter months, pregnant women tended to use higher doses of supplements to compensate. A sample of 125 newborns was tested, and 72 were declared to be deficient in vitamin D what would be the appropriate null and alternative hypotheses that the researcher should establish for a test of significance? A) Ho: p-0.5; H: p

Explanation / Answer

7) Option - D is the correct answer.

8) p = 0.4

At 90% confidence interval the critical value is z0.05 = 1.645

p +/- z0.05 * sqrt(p * (1 - p)/n)

= 0.4 +/- 1.645 * sqrt(0.4 * 0.6/200)

= 0.4 +/- 0.057

Option-B is the correct answer.

9) P = 0.019

p = 0.0036

The test statistic z = (p - P)/sqrt(P * (1 - P)/n)

                              = (0.0036 - 0.019)/sqrt(0.019 * ( 1 - 0.019)/277)

                              = -1.88

p-value = P(Z < -1.88)

             = 0.0301

As the p-value is greater than the significance level(0.0301 > 0.01), so the null hypothesis is not rejected.

So at 0.01 significance level there is not sufficient evidience to support the claim that the Georgetown medical office SSI rates less than the national average SSIs average rate.

Option-D is the correct answer.

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