2. The body mass index (BMI) of an individual is one measure that is used to judge whether an individual is overweight or not. A BMI between 20 and 25 indicates that one is at a normal weight. In a survey of 750 men and 750 women, the Gallup organization found that 203 men and 270 women were normal weight. Let population 1 be the men; population 2 be the women. (a) Construct a 90% confidence interval for the difference between the proportion of men proportion of women who are normal weight. (b) Interpret the interval in the form of a test of hypothesis with Ho: p1 = P2- (a) Compute p,^ and p;^. X1 x2 P:^ = ;P²^= Conditions Required: The samples are obtained independently using simple random sampling. LET's ASSUME YES. n;p;^(1-p;^) =. n2p2^(1– p2^) =. Can you deduce that each sample size is less than 5% of its population size? Why? Is this 2 10? Is this 2 10? USING TECHNOLOGY: The “T|83/84 CALCULATOR" PROCEDURE STAT > TESTS Choose (B): “2-PropZlnt" Display: ( (b) Interpretation: Because this interval DOES /DOES NOT contain 0, we might conclude that there IS / IS NOT a difference in the proportion of men and women who are of normal weight. That is, we REJECT / DO NOT REJECT Họ: P1 = pP2-

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2. The body mass index (BMI) of an individual is one measure that is used to judge whether an
individual is overweight or not. A BMI between 20 and 25 indicates that one is at a normal
weight. In a survey of 750 men and 750 women, the Gallup organization found that 203 men
and 270 women were normal weight. Let population 1 be the men; population 2 be the
women.
(a) Construct a 90% confidence interval for the difference between the proportion of men
proportion of women who are normal weight.
(b) Interpret the interval in the form of a test of hypothesis with Ho: P1 = P2.
(a)
Compute p,^ and p;^.
X1
X2
P1^ =
n1
¿p^ =
%3D
n2
Conditions Required:
The samples are obtained independently using simple random sampling. LET's
ASSUME YES.
n;p¿^(1-p;^) =,
n¿p2^(1 – P2^) =
Can you deduce that each sample size is less than 5% of its population size? Why?
Is this 2 10?
Is this 2 10?
USING TECHNOLOGY: The “T|83/84 CALCULATOR" PROCEDURE
STAT > TESTS
Choose (B): “2-PropZInt"
Display: (
(b)
Interpretation:
Because this interval DOES/DOES NOT contain 0, we might conclude that there IS / IS NOT a
difference in the proportion of men and women who are of normal weight. That is, we REJECT
/ DO NOT REJECT Ho: P1 = p2-
Transcribed Image Text:2. The body mass index (BMI) of an individual is one measure that is used to judge whether an individual is overweight or not. A BMI between 20 and 25 indicates that one is at a normal weight. In a survey of 750 men and 750 women, the Gallup organization found that 203 men and 270 women were normal weight. Let population 1 be the men; population 2 be the women. (a) Construct a 90% confidence interval for the difference between the proportion of men proportion of women who are normal weight. (b) Interpret the interval in the form of a test of hypothesis with Ho: P1 = P2. (a) Compute p,^ and p;^. X1 X2 P1^ = n1 ¿p^ = %3D n2 Conditions Required: The samples are obtained independently using simple random sampling. LET's ASSUME YES. n;p¿^(1-p;^) =, n¿p2^(1 – P2^) = Can you deduce that each sample size is less than 5% of its population size? Why? Is this 2 10? Is this 2 10? USING TECHNOLOGY: The “T|83/84 CALCULATOR" PROCEDURE STAT > TESTS Choose (B): “2-PropZInt" Display: ( (b) Interpretation: Because this interval DOES/DOES NOT contain 0, we might conclude that there IS / IS NOT a difference in the proportion of men and women who are of normal weight. That is, we REJECT / DO NOT REJECT Ho: P1 = p2-
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