ry bring its smog level into federal guidelines. The city comes up with a new po
ID: 2946676 • Letter: R
Question
ry bring its smog level into federal guidelines. The city comes up with a new policy where 1 city employees 10) The federal guideline frsmog is 12% pollutants per 10,000 volume of air. A metropolitan aty is are to use city transportation to and from work. A local environmental group does the city is doing enough, and that the pollution percentage is greater than 12%. An gency hired by the city to run a test used a random sample size of 250 and found the pollutants at 15%. Test appropniate n appropriate hypothesis and state your conclusion. Be sure the itions are satisfied before you proceed ptions and condi Hop, _ 0.12; HA : p 0.12-156: P-value00594. This data does not show a change of 12% pollutants in the air, the city should change and increase programs. 12% pollutants in the air, the city should change and increase progra 12% pollutants in the air, the city should change and increase progra 11) A weight loss center provided a loss for 72% of its participants. The center's leader decides to test a 11) new weight loss strategy on a random participants. Test an appropriate hypothesis assumptions and conditions are satisfied before you proceed sample size of 140and found weight loss in 78% of the and state your conclusion. Be sure the appropriate A) H0: p-0.72 HA: p . 072; z " 1.54; P-value-0.1236. This data does not show a weight loss in more than 72% of the participants in the weight loss strategy, the manager should continue strategies. B) F 10-p-0.72 HAi p?0.72 z 1.54; P-value = 0.9382. This data shows a weight loss in more than 72% of the participants in the weight loss strategy, the manager should continue strategies C) Ho: p-0.72; HA: pM72; z--154; P-value-0.0618. This data does not show a weight loss decrease in more than 72% of the participants in the weight loss strategy, the manager should change strategies. E) Ho: p 0.72; HA: p 0.72;z 1.58; P-value 0.0571. This data does not show a weight loss in more than 72% of the participants in the weight loss strategy, the manager should change strategies.Explanation / Answer
10) H0: P = 0.12
H1: P > 0.12
z = (p - P)/sqrt(P(1 - P)/n)
= (0.15 - 0.12)/sqrt(0.12 * (1 - 0.12)/250)
= 1.46
P-value = P(Z > 1.46)
= 1 - P(Z > 1.46)
= 1 - P(Z < 1.46)
= 1 - 0.9279
= 0.0721
At 5% significance level, Since the P-value is greater than the significance level we should not reject the null hypothesis.
Option - D is correct.
11) H0: P = 0.72
H1: P > 0.72
z = (p - P)/sqrt(P(1 - P)/n)
= (0.78 - 0.72)/sqrt(0.72 * (1 - 0.72)/140)
= 1.58
P-value = P(Z > 1.58)
= 1 - P(Z < 1.58)
= 1 - 0.9429
= 0.0571
At 5% significance level, Since the P-value is greater than the significance level we should not reject the null hypothesis.
Option - E is correct.
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