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 252 of 750 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=0.01 level of significance.

What is the P-Value?

Answer 1

H0: p = 0.53

Ha: p 0.53

Sample proportion = 252 / 750 = 0.336

Test statistics

z = - p / sqrt( p ( 1 - p) / n)

= 0.336 - 0.53 / sqrt( 0.53 * 0.47 / 750)

= -10.64

This is test statistics value.

p-value = P( Z < z )

= P( Z < -10.64)

= 0.0000 (From Z table)

Since p-value < 0.01 level, we have sufficient evidence to reject H0.

We conclude at 0.01 level that we have enough evidence to support the claim.