Suppose a City Official Conducts a Hypothesis Test to Test

question 40

Multiple Choice

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 a- value of approximately 0.072. Choose the conclusion that provides the best interpretation for the p- value at a significance level of a = 0.05.

• A)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 1.46 is 0.072. This result is surprising and could not easily happen by chance.
• B)The p- value should be considered extreme; therefore the hypothesis test proves that the null hypothesis is true.
• 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 1.46 is 0.072. This result is not surprising and could easily happen by chance.
• D)None of these.

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Definitions:

Antecedent

An element in grammar that a pronoun or another word refers back to; in logic, the condition in a conditional statement that if true, leads to the consequent.

Standard Form

A structured format for presenting arguments or equations in a universally understood manner.

Proposition

A declarative sentence that can be either true or false but not both.

Hypothetical Syllogism

A logical argument form where two conditional statements lead to a conclusion, essentially connecting the antecedent of one to the consequent of the other.