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Suppose a City Official Conducts a Hypothesis Test to Test α=0.05\alpha = 0.05

Question 28

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Suppose a city official conducts a hypothesis test to test the claim that the majority of voters oppose a proposed school tax. Assume that all the conditions for proceeding with a one-sample test on Proportions have been met. The calculated test statistic is approximately 1.46 with an associated
P-value of approximately 0.072. Choose the conclusion that provides the best interpretation for the P-value at a significance level of α=0.05\alpha = 0.05


A) If the null hypothesis is true, then the probability of getting a test statistic that is as extreme ormore extreme than the calculated test statistic of 1.46 is 0.072. This resultissurprising andcould not easily happen by chance.
B) The p-value should be considered extreme; therefore the hypothesis test proves that the nullhypothesis is true.
C) If the null hypothesis is true, then the probability of getting a test statistic that is as extreme ormore extreme than the calculated test statistic of 1.46 is 0.072. This result isnotsurprising andcould easily happen by chance.
D) None of these.

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