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 276 of 800 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 ̑ = 0.1 level of significance.
Because np0(1 - p0) ≥ 10, the sample size is ≤ 5% of the population size, and the sample meets the requirements for testing the hypothesis is satisfied.
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
H0: versus H1:
(Type integers or decimals. Do not round.)
Find the test statistic.
z0 = (Round to two decimal places as needed.)
Find the P-value.
P-value = (Round to three decimal places as needed.)
Determine the conclusion for this hypothesis test. Choose the correct answer below.
A. Since P-value < ̑, reject the null hypothesis and conclude that there is sufficient evidence that parents feel differently today.
B. Since P-value > ̑, do not reject the null hypothesis and conclude that there is not sufficient evidence that parents feel differently today.
C. Since P-value > ̑, reject the null hypothesis and conclude that there is not sufficient evidence that parents feel differently today.
D. Since P-value < ̑, do not reject the null hypothesis and conclude that there is sufficient evidence that parents feel differently today.