1. Before the last presidential debates, 50% of registered votes indicated they
ID: 3180913 • Letter: 1
Question
1. 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. List the Type I and Type II error.
b.
Compute the test statistic.
c.
The null hypothesis is to be tested using = .05. Determine the critical value(s) for this test.
d.
Compute the p-value.What do you conclude about an increase of registered voters?
a.
State the null and alternative hypotheses to be tested. List the Type I and Type II error.
b.
Compute the test statistic.
c.
The null hypothesis is to be tested using = .05. Determine the critical value(s) for this test.
d.
Compute the p-value.What do you conclude about an increase of registered voters?
Explanation / Answer
Below are the null and alternate hypothesis
H0: p <= 0.5
H1: p > 0.5
pcap = 636/1200 = 0.53
Value of test statistics,
z = (0.53 - 0.5)/sqrt(0.5*(1-0.5)/1200) = 2.0785
p-value = 0.0188
Critical value = 1.64
As p-value is less than significance level of 0.05, we reject the null hypothesis.
There is significant evidence that there is increase in the number of voters.
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