Suppose a City Official Conducts a Hypothesis Test to Test

question 26

Multiple Choice

Suppose a city official conducts a hypothesis test to test the claim that the majority of voters support a proposed tax to build sidewalks. Assume that all the conditions for proceeding with a one- sample test on proportions have been met. The calculated test statistic is approximately 1.40 with an associated p- value of approximately 0.081. Choose the conclusion that provides the best interpretation for the p- value at a significance level of a = 0.05.

• A)The p- value should be considered extreme; therefore the hypothesis test proves that the null hypothesis is true.
• B)If the null hypothesis is true, then the probability of getting a test statistic that is as extreme or more extreme than the calculated test statistic of 1.40 is 0.081. This result is surprising and could not easily happen by chance.
• C)If the null hypothesis is true, then the probability of getting a test statistic that is as extreme or more extreme than the calculated test statistic of 1.40 is 0.081. This result is not surprising and could easily happen by chance.
• D)None of these.

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