Spencer Ryan
05/08/2023 · High School

Twenty years ago, \( 46 \% \) 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 284 of 900 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 \( \alpha=0.05 \) level of significance. Find the P-value. P-value \( =0.000 \) (Round to three decimal places as needed.) Determine the conclusion for this hypothesis test. Choose the correct answer below. A. Since \( P \)-value \( >\alpha \), do not reject the null hypothesis and conclude that there is not sufficient evidence that parents feel differently today. C. Since P -value \( <\alpha \), reject the null hypothesis and conclude that there is sufficient evidence that parents feel differently today. D. Since P -value \( <\alpha \), do not reject the null hypothesis and conclude that there is sufficient evidence that parents feel differently today.

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The P-value is approximately 0.000, which is less than the significance level of 0.05. Therefore, we reject the null hypothesis and conclude that there is sufficient evidence that parents feel differently today. The correct answer is C.

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