A study was conducted to determine whether a woman's risk of transmitting HIV to her unborn child is different for the younger vs. the older the child. A sample of 100 HIV- infected women who gave birth to two children found that, when only one of the two siblings had HIV, it occurred in 7 of the 100 older siblings and in 15 of the younger siblings, as shown in the table below. Younger sibling HIV? Yes No Yes 7 Older sibling HIV? No 15 76 (a) We are not interested in the case when both siblings are HIV positive or the case when both are not HIV positive. We are only interested in the two cases in which one sibling is HIV positive and the other is not (the 7 and 15). Test Ho: the probability of being HIV positive is the same for older siblings as it is for younger siblings along with the alternative H4: the probabilities are different. Use a = .10. (b) Test the hypothesis if HA is directional, that the younger sibling (15 in the table) is more likely than the older sibling to have HIV. Use a = .10.

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A study was conducted to determine whether a woman's risk of transmitting HIV to her
unborn child is different for the younger vs. the older the child. A sample of 100 HIV-
infected women who gave birth to two children found that, when only one of the two
siblings had HIV, it occurred in 7 of the 100 older siblings and in 15 of the younger
siblings, as shown in the table below.
Younger sibling HIV?
Yes
No
Yes
7
Older sibling HIV?
No
15
76
(a) We are not interested in the case when both siblings are HIV positive or the case when
both are not HIV positive. We are only interested in the two cases in which one sibling
is HIV positive and the other is not (the 7 and 15). Test Ho: the probability of being
HIV positive is the same for older siblings as it is for younger siblings along with the
alternative HA: the probabilities are different. Use a = .10.
(b) Test the hypothesis if HA is directional, that the younger sibling (15 in the table) is more
likely than the older sibling to have HIV. Use a = .10.
Transcribed Image Text:A study was conducted to determine whether a woman's risk of transmitting HIV to her unborn child is different for the younger vs. the older the child. A sample of 100 HIV- infected women who gave birth to two children found that, when only one of the two siblings had HIV, it occurred in 7 of the 100 older siblings and in 15 of the younger siblings, as shown in the table below. Younger sibling HIV? Yes No Yes 7 Older sibling HIV? No 15 76 (a) We are not interested in the case when both siblings are HIV positive or the case when both are not HIV positive. We are only interested in the two cases in which one sibling is HIV positive and the other is not (the 7 and 15). Test Ho: the probability of being HIV positive is the same for older siblings as it is for younger siblings along with the alternative HA: the probabilities are different. Use a = .10. (b) Test the hypothesis if HA is directional, that the younger sibling (15 in the table) is more likely than the older sibling to have HIV. Use a = .10.
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