Question

Twenty years​ ago, 52​% 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 230 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 alpha equals 0.05 level of significance.

Answer 1

Proportion (p0) = 0.52
Total number of sample (n) = 750
number of favourable events (X) = 230

\\\hat p = X/n = 230/750 = 0.3067
\\\alpha = 0.05

We are interested in testing the hypothesis

Since, the test is two-tail test at \alpha = 0.05

Decision Rule: Reject the null hypothesis if the test statistic value is less than the critical value -1.959963984540054 or greater than the critical value 1.959963984540054

The statistic value, -11.6941 is less than the critical value -1.959963984540054. Hence, reject the null hypothesis.

Yes, parents feel differently today than they did twenty years​ ago