(Round all intermediate calculations to at least 4 decimal places.) A politician

Question

(Round all intermediate calculations to at least 4 decimal places.)

A politician claims that he is supported by a clear majority of voters. In a recent survey, 33 out of 63 randomly selected voters indicated that they would vote for the politician. Is the politician’s claim justifiable at a 5% level of significance? Use Table 1.

Select the null and the alternative hypotheses.

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

Calculate the value of test statistic. (Round your answer to 2 decimal places.)

(Round all intermediate calculations to at least 4 decimal places.)

A politician claims that he is supported by a clear majority of voters. In a recent survey, 33 out of 63 randomly selected voters indicated that they would vote for the politician. Is the politician’s claim justifiable at a 5% level of significance? Use Table 1.

Explanation / Answer

a) H0: p 0.50; HA: p > 0.50

b) sample proportion, p = 33/63 = 0.524

c) = sqrt[ P * ( 1 - P ) / n ] = sqrt[0.5*0.5/63] = 0.062994

z = (0.524 - 0.5)/0.062994 = 0.38

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