Problem

Twenty years ago, $54 \%$ 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 282 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 $\alpha=0.1$ level of significance.
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
(Type integers or decimals. Do not round.)

Answer

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Answer

Final Answer: The alternative hypothesis (H1): \(p \neq 0.54\)

Steps

Step 1 :The null hypothesis (H0) is that the proportion of parents who feel it is a serious problem that high school students are not being taught enough math and science is the same now as it was twenty years ago. In other words, the proportion is 0.54.

Step 2 :The alternative hypothesis (H1) is that the proportion of parents who feel it is a serious problem that high school students are not being taught enough math and science is different now than it was twenty years ago. In other words, the proportion is not 0.54.

Step 3 :Final Answer: The null hypothesis (H0): \(p = 0.54\)

Step 4 :Final Answer: The alternative hypothesis (H1): \(p \neq 0.54\)

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