Before the last presidential debates, 50% of registered votes indicated they were planning to vote for the incumbent president. In a recent poll of 1200 registered voters after the debates, 636 indicated they are planning to vote for the incumbent president. Has there been a significant increase in the proportion of registered voters who are planning to vote for the incumbent president?
a. State the null and alternative hypotheses to be tested.
b. Compute the test statistic.
c. The null hypothesis is to be tested at 95% confidence. Determine the critical value(s) for this test.
d. What do you conclude?
e. Compute the p-value.
a. Ho: p ? 0.50
Ha: p > 0.50
b. Test statistic z = 2.08 (rounded)
c. Critical z = 1.645 (one tail test)
d. Since 2.08 > 1.645, reject Ho and conclude that there has been a significant increase in the proportin of voters in favor of the incumbent president.
e. p-value = 0.0188
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