A politician claims that he is supported by a clear majority

A politician claims that he is supported by a clear majority of voters. In a recent survey, 32 out of 59 randomly selected voters indicated that they would vote for the politician. Use a 5% significance level for the test. Use Table 1.

a. Select the null and the alternative hypotheses. H0: p 0.50; HA: p 0.50 H0: p = 0.50; HA: p 0.50

b. Calculate the sample proportion. (Round your answer to 3 decimal places.) Sample proportion

c. Calculate the value of test statistic. (Round intermediate calculations to 4 decimal places. Round your answer to 2 decimal places.) Test statistic

d. Calculate the p-value of the test statistic. (Round intermediate calculations to 4 decimal places. Round \"z\" value to 2 decimal places and final answer to 4 decimal places.) p-value

e. What is the conclusion?

Reject H0; the politician is supported by a clear majority

Reject H0; the politician is not supported by a clear majority

Do not reject H0; the politician is supported by a clear majority

Do not reject H0; the politician is not supported by a clear majority

Solution