Krystal Ramirez2024Question 4, 8.2.11-THW Score: 42.86%,3 of 7 pointsPart 4 of 5Points: 0 of 1Saveose a simple random sample of size h=200 is obtained from a population whose size is N=20,000 and whose population proportion with a specified characteristic is p=0.6. lete parts (a) through (c) below.Not normal because n≤0.05N and np(1−p)≥10.Approximately normal because n≤0.05N and np(1−p)<10.Not normal because n≤0.05N and np(1−p)<10.Approximately normal because n≤0.05N and np(1−p)≥10.mine the mean of the sampling distribution of h=2002.6 (Round to one decimal place as needed.)mine the standard deviation of the sampling distribution of h=2002.03464 (Round to six decimal places as fleeded.)hat is the probability of obtaining h=2004 or more individuals with the characteristic? That is, what is h=2005 ?h=2006 (Round to four decimal places as needed.)Get more helpClear allCheck answeeh=200753.85Mean: h=2008h=2008 Std. Dev.: 052915
Q. Krystal Ramirez2024Question 4, 8.2.11-THW Score: 42.86%,3 of 7 pointsPart 4 of 5Points: 0 of 1Saveose a simple random sample of size h=200 is obtained from a population whose size is N=20,000 and whose population proportion with a specified characteristic is p=0.6. lete parts (a) through (c) below.Not normal because n≤0.05N and np(1−p)≥10.Approximately normal because n≤0.05N and np(1−p)<10.Not normal because n≤0.05N and np(1−p)<10.Approximately normal because n≤0.05N and np(1−p)≥10.mine the mean of the sampling distribution of h=2002.6 (Round to one decimal place as needed.)mine the standard deviation of the sampling distribution of h=2002.03464 (Round to six decimal places as fleeded.)hat is the probability of obtaining h=2004 or more individuals with the characteristic? That is, what is h=2005 ?h=2006 (Round to four decimal places as needed.)Get more helpClear allCheck answeeh=200753.85Mean: h=2008h=2008 Std. Dev.: 052915
Calculate Mean: Calculate the mean of the sampling distribution of p^ using the formula μp^=p.
Calculate Standard Deviation: Calculate the standard deviation of the sampling distribution of p^ using the formula σp^=np(1−p).
Determine Probability: Determine the probability of obtaining x=122 or more individuals with the characteristic, which translates to p^≥0.61. Use the normal approximation to the binomial distribution. First, convert p^ to a z-score.
Look up Z-score: Look up z=0.2887 in the z-table or use a calculator to find the probability that z is greater than or equal to 0.2887.
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