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saul85 [17]
3 years ago
8

An opinion poll asks an SRS of 1500 adults, "Do you happen to jog?" Suppose that the population proportion who jog (a parameter)

is p = 0.15. To estimate p, we use the proportion p-hat in the sample who answer "Yes." Justify the use of a normal approximation and find the following probabilities.
a) P(p > 0.16)
b) P(0.14

​
Advanced Placement (AP)
1 answer:
egoroff_w [7]3 years ago
5 0

Answer:

0.14007 ; 0.71986

Explanation:

Given that :

Justification :

Mean = np ≥ 10

(1 - np) ≥ 10

n = sample size ; p = 0.15

q 1 - 0.15 = 0.85

np = 1500 * 0.15 = 225 > 10

nq = 1500 * 0.85 = 1275 > 10

Hence, the Justification

P(p" > 0.16)

P(Z > (p" - p) /sqrt(p(q) /n))

P(Z > (0.16- 0.15) /sqrt(0.15(0.85) /1500))

P(Z > 0.01 / 0.0092195)

P(Z > 1.08) = 0.14007

P(0.14 < p < 0.16)

P(Z (0.14- 0.15) /sqrt(0.15(0.85) /1500)) < Z < (0.16 - 0.15) /sqrt(0.15(0.85) /1500))

P(Z <-0.01 / 0.0092195) - 0.01 / 0.0092195)

P(Z < 1.08) - P(Z < - 1.08)

Using the Z probability m calculator :

0.85993 - 0.14007

= 0.71986

= 0.72208

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This question is based on Fiscal Policy Analysis.

1. The short-run equilibrium price level and output are PL² and Y¹, where Equilibrium Price is PL₂ and Equilibrium Output is Y¹.

<h3>What is Fiscal Policy?</h3>

Fiscal policy is defined as the use of government spending and tax policies to regulate and control the economic situation of a country. The conditions controlled in this case are macro-economic indices such as inflation, unemployment, equilibrium wage levels, etc.

2. If the Short-Run Equilibrium price level falls, the new equilibrium price level will become PL¹. This is because the next lowest price level below PL² is PL¹.

3. If Investment (or spending or demand) is increased in the short run, the equilibrium price level will sit at PL³.

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See the link below for more about Fiscal Policy:

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