It is suspected that 25% of children may have an adverse reaction to the new RTS,S/AS01 (RTS,S) vaccine that was recommended in October this year by the World Health Organization for the prevention of P. falciparum malaria in children living in the sub-Saharan Africa, where transmission is moderate to high. Suppose the Health Science Faculty of UP is going to test the vaccine on 60 patients. Let: X = the number of children who experienced an adverse reaction. X sample proportion of children who experienced adverse reaction. 60 • D = a) The distribution of X is with an expected value of and a standard deviation of Round your answer to 4 decimal places. . b) The sampling distribution of i is: (Choose all the correct choices, marks will be subtracted for incorrect choices.) approximately normal skewed to the left binary discrete binomial skewed to the right symmetric continuous normal Give the expected value and standard deviation of p. • Expected value, µñ = Round your answer to 2 decimal places. • Standard deviation, ơp = Round your answer to 4 decimal places.

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It is suspected that
25% of children may have an adverse reaction to the new RTS,S/AS01 (RTS,S) vaccine that
was recommended in October this year by the World Health Organization for the prevention
of P. falciparum malaria in children living in the sub-Saharan Africa, where transmission is
moderate to high. Suppose the Health Science Faculty of UP is going to test the vaccine on
60 patients.
Let: X = the number of children who experienced an adverse reaction.
X
sample proportion of children who experienced adverse reaction.
60
The distribution of X is
with an expected value of
and a standard deviation of
Round your answer to 4 decimal places. .
b)
The sampling distribution of p is: (Choose all the correct choices, marks will be subtracted
for incorrect choices.)
approximately normal
skewed to the left
binary
discrete
binomial
skewed to the right
symmetric
continuous
normal
c)
Give the expected value and standard deviation of p.
• Expected value, µp =
Round your answer to 2 decimal places.
• Standard deviation, on =
Round your answer to 4 decimal places.
Transcribed Image Text:It is suspected that 25% of children may have an adverse reaction to the new RTS,S/AS01 (RTS,S) vaccine that was recommended in October this year by the World Health Organization for the prevention of P. falciparum malaria in children living in the sub-Saharan Africa, where transmission is moderate to high. Suppose the Health Science Faculty of UP is going to test the vaccine on 60 patients. Let: X = the number of children who experienced an adverse reaction. X sample proportion of children who experienced adverse reaction. 60 The distribution of X is with an expected value of and a standard deviation of Round your answer to 4 decimal places. . b) The sampling distribution of p is: (Choose all the correct choices, marks will be subtracted for incorrect choices.) approximately normal skewed to the left binary discrete binomial skewed to the right symmetric continuous normal c) Give the expected value and standard deviation of p. • Expected value, µp = Round your answer to 2 decimal places. • Standard deviation, on = Round your answer to 4 decimal places.
d)
The probability that more than 21% of the children will experience an adverse reaction is
Round your answer to 4 decimal places.
e)
It is known that twenty percent of the sample proportions are less than
Round your answer to 4 decimal places.
f)
The sample proportion, p, will be within a distance of
from the population
proportion, ninety percent of the time.
Round your answer to 4 decimal places.
Transcribed Image Text:d) The probability that more than 21% of the children will experience an adverse reaction is Round your answer to 4 decimal places. e) It is known that twenty percent of the sample proportions are less than Round your answer to 4 decimal places. f) The sample proportion, p, will be within a distance of from the population proportion, ninety percent of the time. Round your answer to 4 decimal places.
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