f) \( y=\log _{8}(x)-2 \)

228. \( \left\{\frac{3}{5} \times\left[\left(\frac{1}{2}-\frac{1}{3}\right)^{2}: \frac{5}{24}+\frac{8}{15}\right] \times\left(1+\frac{1}{2}\right)^{2}+\left(1+\frac{1}{3}+\frac{1}{4}+\frac{1}{12}\right)\right\}: \frac{11}{3} \)

32. If \( x \) and \( y \) are two positive numbers such that A. \( x>y \) B. \( y>1 \) C. \( x a n d y \) are both less than 1 D. \( x>1 \) E. \( x \) and \( y \) are both greater than 1

Consider the following hypotheses about a population proportion \( p \) : \[ H_{0}: p=0.45 \text { against } H_{1}: p \neq 0.45 \] An analyst wants to test the hypotheses. He conducted 320 trials that resulted in 128 successes. The \( p \)-value for the test is

9. En parejas, analicen la siguiente situación y respondan. Pedro inventó un juego, el cual consiste en que cada 20 pasos que avanza al ir del parque a su casa, debe retroceder 2 . A este proceso lo llamó «jugada». Si cada paso de Pedro mide, aproximadamente, 55 cm .

Formula for standard error of the mean: \( \sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}} \) \( Z=\frac{\hat{x}-\mu}{\sigma_{x}} \) - Population mean \( =500 \) - Population standard deviation \( =100 \) - School sample mean \( =488 \) - Sample size \( =144 \)