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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