Provide an Appropriate Response $= 0.2$ Alternative Hypothesis $> 0.2$ She Selects a Sample and Finds That the Sample Proportion

question 66

Multiple Choice

Provide an appropriate response.
-Toni is conducting a hypothesis test concerning a population proportion. The hypotheses are as follows.
Null hypothesis: population proportion $= 0.2$
Alternative hypothesis.: population proportion $> 0.2$
She selects a sample and finds that the sample proportion is $0.21$ . She then does some calculations and is able to make the following statement:
If the population proportion were $0.2$ , the chance that the sample proportion would have come out as big as $0.21$ or bigger is $0.4$ . Which of the following is a reasonable conclusion?

• A) Accept the alternative hypothesis. The sample provides evidence to support the alternative hypothesis.
• B) Do not reject the null hypothesis. The sample provides no evidence against the null hypothesis.
• C) Accept the null hypothesis. The sample provides no evidence against the alternative hypothesis.
• D) Accept the null hypothesis. The sample provides evidence to support the null hypothesis.

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Definitions:

Supply Of Calculators

The total quantity of calculators that manufacturers are willing and able to sell at various price levels, holding all else equal.

Lower Cost

Refers to the reduction in expenses required to produce goods and services, improving profitability.

Surplus

An amount of something left over when requirements have been met; in economics, it typically refers to excess supply over demand.

Shortage

A market condition whereby the request for a service or product goes beyond what is readily available.