SOLUTION: Previously 46% of parents of children in highschool felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found tha

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Question 997168: Previously 46% of parents of children in highschool felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 388 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? Use the a=0.1 level of significance.
H0: p=0.46 versus H1: p with line inside equal sign 0.46.
Use the technology to find the p value and round the p value answer three decimal places.

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Ho: p=0.46
Ha: p NE 0.46
alpha=0.01
Test statistic is one sample proportion z=(phat-p)/sqrt{ {0.46)(0.54)/800}
Critical value z> |2.576|
z=0.025/0.0176
=1.418
This is a p-value of 0.078
Fail to reject Ho and insufficient evidence to support the claim that parents feel differently.

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