Question

[Use the following information to answer the next 2 questions.] According to the US Census Bureau's American Community Survey, 87% of Americans over the age of 25 have earned a high school diploma. Suppose a simple random sample of size $n = 100$ from this population has been drawn. 1. Compute the mean and the standard deviation of the proportion of Americans in the sample who have a high school diploma. 2. a) $\mu_\hat{p} = 0.87$, $\sigma_\hat{p} = 0.0113$ b) $\mu_\hat{p} = 0.13$, $\sigma_\hat{p} = 0.0113$ c) $\mu_\hat{p} = 0.87$, $\sigma_\hat{p} = 0.0336$ d) $\mu_\hat{p} = 0.13$, $\sigma_\hat{p} = 0.0336$ e) $\mu_\hat{p} = 0.87$, $\sigma_\hat{p} = 0.00336$ What is the probability that the percentage of Americans in the sample with a high school diploma is less than 85%? Answer up to four decimal places. a) 0.0385 b) 0.1862 c) 0.2760 d) 0.3746 e) 0.7240

          [Use the following information to answer the next 2 questions.]
According to the US Census Bureau's American Community Survey, 87% of Americans over the
age of 25 have earned a high school diploma. Suppose a simple random sample of size $n = 100$
from this population has been drawn.
1. Compute the mean and the standard deviation of the proportion of Americans in the sample
who have a high school diploma.
2.
a) $\mu_\hat{p} = 0.87$, $\sigma_\hat{p} = 0.0113$
b) $\mu_\hat{p} = 0.13$, $\sigma_\hat{p} = 0.0113$
c) $\mu_\hat{p} = 0.87$, $\sigma_\hat{p} = 0.0336$
d) $\mu_\hat{p} = 0.13$, $\sigma_\hat{p} = 0.0336$
e) $\mu_\hat{p} = 0.87$, $\sigma_\hat{p} = 0.00336$
What is the probability that the percentage of Americans in the sample with a high school
diploma is less than 85%? Answer up to four decimal places.
a) 0.0385
b) 0.1862
c) 0.2760
d) 0.3746
e) 0.7240

[Use the following information to answer the next 2 questions.]
According to the US Census Bureau's American Community Survey, 87% of Americans over the
age of 25 have earned a high school diploma. Suppose a simple random sample of size n = 100
from this population has been drawn.
1. Compute the mean and the standard deviation of the proportion of Americans in the sample
who have a high school diploma.
2.
a) μp̂ = 0.87, σp̂ = 0.0113
b) μp̂ = 0.13, σp̂ = 0.0113
c) μp̂ = 0.87, σp̂ = 0.0336
d) μp̂ = 0.13, σp̂ = 0.0336
e) μp̂ = 0.87, σp̂ = 0.00336
What is the probability that the percentage of Americans in the sample with a high school
diploma is less than 85%? Answer up to four decimal places.
a) 0.0385
b) 0.1862
c) 0.2760
d) 0.3746
e) 0.7240

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