Question

A poll agency reports that 47% of teenagers aged −12-17 own smartphones. A random sample of

147 teenagers is drawn. Round your answers to at least four decimal places as needed.

(d) Find the probability that the proportion of the sampled teenagers who own a smartphone is between 0.44 and 0.55 The probability that the proportion of the sampled teenagers who own a smartphone is between 0.44 and 0.55 is

Answer 1

Given data, pole agency Seport – 27% P= 0.47 Pandom Sample(n)= 147 atere, - 1 PC1-p) 0.6 147 | 0.47 x 0.53 147 op Dua (I=0,va) op 048 x 0.53 PJ :24 Op = Jo.001694 0.2491 147 |. 0.0411

probability, (A. Vụ – 0.14) (6 - 1) (0.5 -0.4) 0.0411 0.0411 0.08 -0.03 <- 0.0411 0.0411 al P-0.72 < x < 1.94 => pl&e), ay) – p(x2-0.12) (from ²-table) at 0.97381-0.23576 => 0 . 73805 between 0.44 & 0.55 is probability 0.73805'