A school board in a large district is investigating whether parents would be willing to extend the school year by 5 days. They will only do it if they are quite confident that more than 50% of parents will support the decision. They conduct a random phone survey of 200 parents and find that 112 of them would be willing to support the decision to extend the school year. Using the hypotheses H,: p = 0.5; H: p>0.5 and a= 0.05, conduct a hypothesis test to see if the school board should extend the school year. Make sure to check conditions and use the p from the null hypothesis when appropriate to do so! a.

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