A recent study used umbilical cord blood to test for 25 hydroxyvitamin D,which is an indicator of vitamin D status of the baby.It was reported that 65% of babies tested were deficient in vitamin D in spite of the fact that the mothers consumed vitamin D supplements during pregnancy.A researcher in a 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) H₀: p = 0.5;H_a: p < 0.5
B) H₀: p = 0.65;H_a: p  0.65
C) H₀: = 0.65;H_a:
< 0.65
D) H₀: p = 0.65;H_a: p < 0.65
E) H₀: = 0.65;H_a:
 0.65

Question

A recent study used umbilical cord blood to test for 25 hydroxyvitamin D,which is an indicator of vitamin D status of the baby.It was reported that 65% of babies tested were deficient in vitamin D in spite of the fact that the mothers consumed vitamin D supplements during pregnancy.A researcher in a 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) H 0 : p = 0.5;H a : p < 0.5B) H 0 : p = 0.65;H a : p  0.65C) H 0 : 0 : p = 0.5;H a : p < 0.5 B) H 0 : p = 0.65;H a : p  0.65 C) H 0 : = 0.65;H a : < 0.65 D) H 0 : p = 0.65;H a : p < 0.65 E) H 0 : = 0.65;H a :  0.65 class=answers-bank-image d-inline rel=preload > = 0.65;H a : 0 : p = 0.5;H a : p < 0.5 B) H 0 : p = 0.65;H a : p  0.65 C) H 0 : = 0.65;H a : < 0.65 D) H 0 : p = 0.65;H a : p < 0.65 E) H 0 : = 0.65;H a :  0.65 class=answers-bank-image d-inline rel=preload > < 0.65D) H 0 : p = 0.65;H a : p < 0.65E) H 0 : 0 : p = 0.5;H a : p < 0.5 B) H 0 : p = 0.65;H a : p  0.65 C) H 0 : = 0.65;H a : < 0.65 D) H 0 : p = 0.65;H a : p < 0.65 E) H 0 : = 0.65;H a :  0.65 class=answers-bank-image d-inline rel=preload > = 0.65;H a : 0 : p = 0.5;H a : p < 0.5 B) H 0 : p = 0.65;H a : p  0.65 C) H 0 : = 0.65;H a : < 0.65 D) H 0 : p = 0.65;H a : p < 0.65 E) H 0 : = 0.65;H a :  0.65 class=answers-bank-image d-inline rel=preload >  0.65

Mickayla Captain · Accepted Answer

Final Answer : D, Explanation :  The null hypothesis (H 0 ) is that the proportion of newborns with vitamin D deficiency is 0.65 or greater, as reported in the previous study. The alternative hypothesis (H a ) is that the proportion is less than 0.65, indicating that the percentage of deficiency is lower than previously reported in this region. This is the appropriate hypothesis test for the researcher to determine if the percentage of deficiency in newborns is too high for the region.

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