A politician claims that he is supported by a clear majority of voters. In a recent survey, 24 out of 40 randomly selected voters indicated that they would vote for the politician. (You may find it useful to reference the appropriate table: z table or t table) a. Select the null and the alt
A politician claims that he is supported by a clear majority of voters. In a recent survey, 24 out of 40 randomly selected voters indicated that they would vote for the politician. (You may find it useful to reference the appropriate table: z table or t table)
a. Select the null and the alternative hypotheses.
multiple choice 1
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H0: p = 0.50; HA: p ≠ 0.50
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H0: p ≤ 0.50; HA: p > 0.50
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H0: p ≥ 0.50; HA: p < 0.50
b. Calculate the sample proportion. (Round your answer to 2 decimal places.)
c. Calculate the value of test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
d. Find the p-value.
multiple choice 2
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p-value < 0.01
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0.01 ≤ p-value < 0.025
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0.025 ≤ p-value < 0.05
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0.05 ≤ p-value < 0.10
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p-value ≥ 0.10
e. At the 5% level of significance, what is the conclusion?
multiple choice 3
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Reject H0; the politician’s claim is supported by the data.
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Reject H0; the politician’s claim is not supported by the data.
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Do not reject H0; the politician’s claim is supported by the data.
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Do not reject H0; the politician’s claim is not supported by the data.
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