Statistics Questions & Answers

A simple random sample of size \( n=50 \) is obtained from a population whose size is \( \mathrm{N}=25,000 \) (a) Describe the sampling distribution of \( \hat{p} \). Choose the phrase that best describes the shape of the sampling distribution. A. Approximately normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-\mathrm{p}) \geq 10 \) B. Approximately normal because \( n \leq 0.05 \mathrm{~N} \) and \( \mathrm{np}(1-\mathrm{p})<10 \) C. Not normal because \( \mathrm{n} \leq 0.05 \mathrm{~N} \) and \( n \mathrm{np}(1-\mathrm{p})<10 \) D. Not normal because \( n \leq 0.05 \mathrm{~N} \) and \( \mathrm{np}(1-\mathrm{p}) \geq 10 \) Determine the mean of the sampling distribution of \( \hat{\mathrm{p}} \). \( \mu_{\hat{p}}=\square \) (Round to one decimal place as needed.)

Describe the sampling distribution of \( \hat{p} \). Assume the size of the population is 25,000 . \( n=800, p=0.325 \) Describe the shape of the sampling distribution of \( \hat{p} \). Choose the correct answer below. A. The shape of the sampling distribution of \( \hat{p} \) is not normal because \( n \leq 0.05 N \) and \( n p(1-p)<10 \). C. The shape of the sampling distribution of \( \hat{p} \) is approximately normal because \( n \leq 0.05 N \) and \( n p(1-p) \) D. The shape of the sampling distribution of \( \hat{p} \) is approximately normal because \( n \leq 0.05 N \) and \( n p(1-p) \) Determine the mean of the sampling distribution of \( \hat{p} \). \( \mu_{\hat{p}}=\square \) (Round to three decimal places as needed.)

4. The estimated regression equation in the previous question is (a) \( \widehat{y}=0.180-7.276 x \) (b) \( \widehat{y}=55.788+2.788 x \) (c) \( \widehat{y}=-7.276+0.180 x \) (d) \( \widehat{y}=2.788+55.788 x \)

Describe the sampling distribution of \( \hat{p} \). Assume the size of the population is 20,000 . \( n=700, p=0.6 \) Choose the phrase that best describes the shape of the sampling distribution of \( \hat{p} \) below. A. Approximately normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p)<10 \). Not normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p) \geq 10 \). D. Not normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p)<10 \). Determine the mean of the sampling distribution of \( \hat{p} \). \( \mu_{p}=0.6 \) (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of \( \hat{p} \). \( \sigma_{\hat{p}}=\square \) (Round to three decimal places as needed.)

Describe the sampling distribution of \( \hat{p} \). Assume the size of the population is 20,000 . \( n=700, p=0.6 \) A. Approximately normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p)<10 \). Choose the phrase that best describes the shape of the sampling distribution of \( \hat{p} \) below. C. Not normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p) \geq 10 \). Dotrmal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p)<10 \). Determine the mean of the sampling distribution of \( \hat{p} \). \( \mu_{p}=\square \) (Round to one decimal place as needed.)

\( \sigma_{\hat{p}}=0.016 \) (Round to three decimal places as needed.) (b) What is the probability that in a random sample of 900 adults, more than \( 37 \% \) do not own a credit card? The probability is (Round to four decimal places as needed.)

According to a survey, \( 35 \% \) of adults of a certain country do not own a credit card (a) Suppose a simple random sample of 900 adults is asked, "Do you own a credi Choose the phrase that best describes the shape of the sampling distribution of \( \hat{p} \). A. Approximately normal because \( n \leq 0.05 \mathrm{~N} \) and \( \mathrm{np}(1-\mathrm{p}) \geq 10 \) C. Approximately normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-\mathrm{p})<10 \) D. Not normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-\mathrm{p}) \geq 10 \) Determine the mean of the sampling distribution of \( \hat{p} \leq 0.05 \mathrm{~N} \) and \( \mathrm{np}(1-\mathrm{p})<10 \) \( \mu_{\hat{p}}=0.35 \) (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of \( \hat{p} \). \( \sigma_{\hat{p}}=\square \) (Round to three decimal places as needed.)

Omework According to a survey, \( 35 \% \) of adults of a certain country do not own a credit card (a) Suppose a simple random sample of 900 adults is asked, "Do you own a credi Choose the phrase that best describes the shape of the sampling distribution of \( \hat{p} \). Approximately normal because \( n \leq 0.05 \mathrm{~N} \) and \( \mathrm{np}(1-\mathrm{p}) \geq 10 \) B. Approximately normal because \( \mathrm{n} \leq 0.05 \mathrm{~N} \) and \( \mathrm{np}(1-\mathrm{p})<10 \) C. Not normal because \( \mathrm{n} \leq 0.05 \mathrm{~N} \) and \( \mathrm{np}(1-\mathrm{p}) \geq 10 \) D. Not normal because \( \mathrm{n} \leq 0.05 \mathrm{~N} \) and \( \mathrm{np}(1-\mathrm{p})<10 \) Determine the mean of the sampling distribution of \( \hat{p} \). \( \mu_{\mathrm{p}}=\square \) (Round to two decimal places as needed )

Determine the moan of the sampling distribution of \( \hat{p} \). \( \mu_{p}=\square \) (Round to two decimal places as needed)

According to a survey, \( 35 \% \) of adults of a certain country do not own a credit card. Complete parts (a) through (d). (a) Suppose a simple random sample of 900 adults is asked, "Do you own a credit card?" Describe the sampling distribution of \( \hat{p} \), the sample propor Choose the phrase that best describes the shape of the sampling distribution of \( \hat{p} \). A. Approximately normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p) \geq 10 \) B. Approximately normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p)<10 \) C. Not normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p) \geq 10 \) D. Not normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p)<10 \)