Question

twenty years ago, 53% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. a recent survey found that 295 of 850 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. do parents feel differently today than they did twenty years ago? use the α = 0.1 level of significance. because ( n p _ { 0 } ( 1 - p _ { 0 } ) = square ) 10, the sample size is 5% of the population size, and the sample (round to one decimal place as needed.) the requirements for testing the hypothesis satisfied

Explanation:

Step1: Calculate \(np_0(1 - p_0)\)

Given \(n = 850\) and \(p_0=0.53\).

$$
LATEXBLOCK0
$$

Since \(211.7> 10\).

Step2: Check sample - size relative to population size

Assume the population of parents of high - school children is large. A sample of \(n = 850\) is likely less than \(5\%\) of the population size (as the population of parents of high - school students is in the millions).

Answer:

Because \(np_0(1 - p_0)=211.7>10\), the sample size is less than \(5\%\) of the population size, and the sample (assuming random sampling) the requirements for testing the hypothesis are satisfied.