After a political ad campaign for a city\'s mayor, pollsterscheck the disapprova

Question

After a political ad campaign for a city's mayor, pollsterscheck the disapproval ratings. They test the hypothesis thatthe ads produced no charge against the alternative that the ratingsare now below 23%, and find a P-value of 0.0013. Provide anappropriate conclusion. A) There's a 0.26%chance that poll results could be just natural sampling variationand since 0.26% is way less than 23% we should reject the nullhypothesis and conclude that there has been achange. B) There's a 0.13% chance that the pollresults could be just natural sampling variation rather than areal change in public opinion so we should reject the nullhypothesis and conclude that there has been achange. C) There's a 0.13% chance that the pollresults could be just natural sampling variation rather than a realchange in public opinion so we can't reject the null hypothesis andwe conclude that there has not been achange. D) There's a 23% chance that the pollresults could be just natural sampling variation rather than a realchange in public opinion so we should reject the null hypothesisand conclude that there has been achange. E) There's a 23% chance that pollresults could be just natural sampling variation rather than a realchange in public opinion so we should not reject the nullhypothesis and conclude that there has not been achange. After a political ad campaign for a city's mayor, pollsterscheck the disapproval ratings. They test the hypothesis thatthe ads produced no charge against the alternative that the ratingsare now below 23%, and find a P-value of 0.0013. Provide anappropriate conclusion. A) There's a 0.26%chance that poll results could be just natural sampling variationand since 0.26% is way less than 23% we should reject the nullhypothesis and conclude that there has been achange. B) There's a 0.13% chance that the pollresults could be just natural sampling variation rather than areal change in public opinion so we should reject the nullhypothesis and conclude that there has been achange. C) There's a 0.13% chance that the pollresults could be just natural sampling variation rather than a realchange in public opinion so we can't reject the null hypothesis andwe conclude that there has not been achange. D) There's a 23% chance that the pollresults could be just natural sampling variation rather than a realchange in public opinion so we should reject the null hypothesisand conclude that there has been achange. E) There's a 23% chance that pollresults could be just natural sampling variation rather than a realchange in public opinion so we should not reject the nullhypothesis and conclude that there has not been achange. E) There's a 23% chance that pollresults could be just natural sampling variation rather than a realchange in public opinion so we should not reject the nullhypothesis and conclude that there has not been achange.

Explanation / Answer

B) There's a 0.13% chance that the pollresults could be just natural sampling variation rather than areal change in public opinion so we should reject the nullhypothesis and conclude that there has been a change. Since a P-value of 0.0013 is very low and leads to the rejection ofnull hypothesis.

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