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

men are randomly selected and tested. Among the men, 563 have color blindness, and among the wo lindness than women at an \( \alpha=0.05 \) level of significance. Round all values to at least 4 decimal places.

a) Copy and complete the equation of the line of best fit below. Give any decimals in your answer to 1 d.p.

1) Observe o gráfico de setores ao lado: a) Calcule o ângulo central correspondente aos setore circulares de Futebol, Vôlei e Basquete. b) Se o ângulo central correspondente a "Outros" é igual a 18 quantos \% dos alunos responderam que preferem Natação? c) Se ao todo há 40 alunos no \( 7^{\circ} \) ano, calcule a quantidade de alunos por esporte: \( \frac{x+40}{00} \)

1. Estas interesado en detectar diferencias en tiempo promedio de programación de comerciales en horario estelar. Un estudio similar detecto una desviación estándar de 30 minutos. Quisieras calcular una muestra con una confiabilidad del \( 95 \% \) y un error máximo tolerable de 5 minutos en tus estimaciones. ¿Qué tan grande tiene que ser tu muestra?

QS-8 company that makes hair-care products had 7,000 people try a new shampoo. Of the 7,000 people, 14 had a mild allergir eaction. What percent of the people had a mild allergic reaction?