A Researcher Conducts a Hypothesis Test on a Population Proportion

question 18

Multiple Choice

A researcher conducts a hypothesis test on a population proportion. Her null and alternative hypothesis are H0: p = 0.4 and Ha: p < 0.4. The test statistic and p- value for the test are z = - 3.01 and p- value = 0.0013. For a significance level of a = 0.05, choose the correct conclusion regarding the null hypothesis.

• A)There is not sufficient evidence to conclude that the population proportion is significantly different from 0.04.
• B)There is sufficient evidence to conclude that the population proportion is significantly different from 0.04.
• C)There is not sufficient evidence to reject the null hypothesis that the population proportion is equal to 0.04.
• D)There is sufficient evidence to accept the null hypothesis that the population proportion is equal to 0.04.

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Definitions:

Major Organic Product

The main product formed in greater abundance during an organic reaction, compared to other possible products.

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The most prevalent and pathogenic type of the human immunodeficiency viruses that causes acquired immune deficiency syndrome (AIDS).

Hydrolysis Product

A compound resulting from the chemical breakdown of a substance by water.

Aldol Condensation

A chemical reaction that combines two aldehyde or ketone molecules to form a larger β-hydroxy aldehyde or β-hydroxy ketone, followed by dehydration to give a conjugated enone.