Question

1. For a population of qualitative data, P = 63% of the items have a certain characteristic of interest (i.e., success). Suppose a sample of 146 items are randomly chosen, and $\hat{P}$ is the proportion of the sample that have the characteristic of interest. a. Verify that the probability distribution of $\hat{P}$ is approximately normal. b. Compute $\mu_{\hat{P}}$. c. Compute $\sigma_{\hat{P}}$ to two decimal places. d. Label the idealized probability distribution of $\hat{P}$. e. Convert $\hat{P} = 0.60$ to a z score. f. State the meaning of the answer to part (e). g. Compute $P(\hat{P} > 0.60)$.

          1. For a population of qualitative data, P = 63% of the items have a certain characteristic of interest (i.e., success). Suppose a sample of 146 items are randomly chosen, and $\hat{P}$ is the proportion of the sample that have the characteristic of interest.
a. Verify that the probability distribution of $\hat{P}$ is approximately normal.
b. Compute $\mu_{\hat{P}}$.
c. Compute $\sigma_{\hat{P}}$ to two decimal places.
d. Label the idealized probability distribution of $\hat{P}$.
e. Convert $\hat{P} = 0.60$ to a z score.
f. State the meaning of the answer to part (e).
g. Compute $P(\hat{P} > 0.60)$.

$1. For a population of qualitative data, P = 63% of the items have a certain characteristic of interest (i.e., success). Suppose a sample of 146 items are randomly chosen, and $\hat{P}$ is the proportion of the sample that have the characteristic of interest. a. Verify that the probability distribution of P̂ is approximately normal. b. Compute μP̂. c. Compute σP̂ to two decimal places. d. Label the idealized probability distribution of P̂. e. Convert P̂ = 0.60 to a z score. f. State the meaning of the answer to part (e). g. Compute P(P̂ > 0.60).$

Added by Alexander A.

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