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[20pts] In 2005, 45% of parents with children in high school felt it was serious problem...

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[20pts] In 2005, 45% of parents with children in high schoolfelt it was serious problem that high school students were notbeing taught enough math and science. A recent survey found that 52out of 120 parents with children in high school felt it was aserious problem that high school students were not being taughtenough math and science. Do parents feel differently today thanthey did in 2005? Conduct a hypothesis test at 5% significancelevel.

a.What are the null and alternative hypotheses? What is the typeof the test (left, right, or two tailed)?

b. Compute the test statistic (Round intermediate steps to 4decimal places and round to 2 decimal places.)

c. Use the z table to find the P-value

d. What is her conclusion? Show detailed comparison andexplanation.

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