A Pesearcher asks à random sample of 200 Virginia residents whether they take a multivitamin on a daily basis. He wants to determine whether the proportion of Virginia residents who take a multivitamin daily is different than 0.31. Should the researcher use a hypothesis test or a confidence interval or both to answer this question? O a. Only a confidence interval should be used. The researcher could use a confidence interval to estimate the proportion of Virginia residents who take a multivitamin daily. A hypothesis test should iöt be performed to answer this question. O b. Either inference method could be used. The researcher could use a hypothesis test because the researcher wants to know whether or not the proportion of Virginia residents who take a multivitamin daily is different than 0.31. In addition, the researcher could also use a confidence interval by checking whether the value of 0.31 was captured by the limits of the confidence interval. O. Neither a hypothesis test nor a confidence interval will help the researcher investigate claim, O d. Only a hypothesis test should be used. The researcher could use a hypothesis test because the researcher wants to know whether or not the proportion of Virginia residents who take a multivitamin daily is different than 0.31. A confidence interval should not be used to answer this question.

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A researcher asks a random sample of 200 Virginia residents whether they take a multivitamin on a daily basis. He wants to determine whether the proportion of Virginia residents who take a multivitamin daily is different than 0.31.
Should the researcher use a hypothesis test or a confidence interval or both to answer this question?
O a. Only a confidence interval should be used. The researcher could use a confidence interval to estimate the proportion of Virginia residents who take a multivitamin daily. A hypothesis test should riöt be performed to answer
this question.
O b. Either inference method could be used. The researcher could use a hypothesis test because the researcher wants to know whether or not the proportion of Virginia residents who take a multivitamin daily is different than
0.31. In addition, the researcher could also use a confidence interval by checking whether the value of 0.31 was captured by the limits of the confidence interval.
O. Neither a hypothesis test nor a confidence interval will help the researcher investigate his claim.
O d. Only a hypothesis test should be used. The researcher could use a hypothesis test because the researcher wants to know whether or not the proportion of Virginia residents who take a multivitamin daily is different than
0.31. A confidence interval should not be used to answer this question.
Transcribed Image Text:A researcher asks a random sample of 200 Virginia residents whether they take a multivitamin on a daily basis. He wants to determine whether the proportion of Virginia residents who take a multivitamin daily is different than 0.31. Should the researcher use a hypothesis test or a confidence interval or both to answer this question? O a. Only a confidence interval should be used. The researcher could use a confidence interval to estimate the proportion of Virginia residents who take a multivitamin daily. A hypothesis test should riöt be performed to answer this question. O b. Either inference method could be used. The researcher could use a hypothesis test because the researcher wants to know whether or not the proportion of Virginia residents who take a multivitamin daily is different than 0.31. In addition, the researcher could also use a confidence interval by checking whether the value of 0.31 was captured by the limits of the confidence interval. O. Neither a hypothesis test nor a confidence interval will help the researcher investigate his claim. O d. Only a hypothesis test should be used. The researcher could use a hypothesis test because the researcher wants to know whether or not the proportion of Virginia residents who take a multivitamin daily is different than 0.31. A confidence interval should not be used to answer this question.
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