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

question 1

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

• 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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Definitions:

Photoreceptors

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Vertebrate Eye

The complex optical organ in vertebrates that enables vision by detecting light and converting it into electro-chemical impulses in neurons.

Layer

A sheet, coat, or level of material, often one of several, that lies over or under another.

Action Potentials

Rapid, temporary changes in the electrical membrane potential that propagate along the membrane of a neuron or muscle cell, facilitating the transmission of signals.