A chocolatier, a person who makes chocolate candy, at a candy company has developed a new dark chocolate candyand believes it will be less bitter than the current dark chocolate candy on the market. The chocolatier hiredprofessional taste testers to participate in an experiment. The chocolatier flipped a coin for each participant. If thecoin landed on heads, the participant tasted the new dark chocolate candy first, then tasted the current darkchocolate candy. If the coin landed on tails, the participant tasted the current dark chocolate candy first, then tastedthe new dark chocolate candy. The participants rated the bitterness of each dark chocolate candy on a scale of to, with being the least bitter and being the most bitter. Using a paired -test to test the belief, the chocolatiercalculated a p-value of .0.274Assuming the conditions for inference have been met, which of the following is the best conclusion for thechocolatier’s hypothesis test?(A)Because the -value is less than any reasonable level of significance, there is convincing statistical evidenceto support the belief that the new dark chocolate candy is less bitter than the current dark chocolate candy onaverage for those similar to the participants in the study.(B)Because the -value is less than any reasonable level of significance, there is not convincing statisticalevidence to support the belief that the new dark chocolate candy is less bitter than the current dark chocolatecandy on average for those similar to the participants in the study.(C)Because the -value is greater than any reasonable level of significance, there is convincing statisticalevidence to support the belief that the new dark chocolate candy is less bitter than the current dark chocolatecandy on average for those similar to the participants in the study.(D)Because the -value is greater than any reasonable level of significance, there is not convincing statisticalevidence to support the belief that the new dark chocolate candy is less bitter than the current dark chocolatecandy on average for those similar to the participants in the study.(E) Since the taste testers were not randomly selected, this was not a well-designed experiment and a conclusionabout the bitterness of the new dark chocolate candy cannot be made.
A chocolatier, a person who makes chocolate candy, at a candy company has developed a new dark chocolate candy
and believes it will be less bitter than the current dark chocolate candy on the market. The chocolatier hired
professional taste testers to participate in an experiment. The chocolatier flipped a coin for each participant. If the
coin landed on heads, the participant tasted the new dark chocolate candy first, then tasted the current dark
chocolate candy. If the coin landed on tails, the participant tasted the current dark chocolate candy first, then tasted
the new dark chocolate candy. The participants rated the bitterness of each dark chocolate candy on a scale of to
, with being the least bitter and being the most bitter. Using a paired -test to test the belief, the chocolatier
calculated a p-value of .0.274
Assuming the conditions for inference have been met, which of the following is the best conclusion for the
chocolatier’s hypothesis test?
(A)
Because the -value is less than any reasonable level of significance, there is convincing statistical evidence
to support the belief that the new dark chocolate candy is less bitter than the current dark chocolate candy on
average for those similar to the participants in the study.
(B)
Because the -value is less than any reasonable level of significance, there is not convincing statistical
evidence to support the belief that the new dark chocolate candy is less bitter than the current dark chocolate
candy on average for those similar to the participants in the study.
(C)
Because the -value is greater than any reasonable level of significance, there is convincing statistical
evidence to support the belief that the new dark chocolate candy is less bitter than the current dark chocolate
candy on average for those similar to the participants in the study.
(D)
Because the -value is greater than any reasonable level of significance, there is not convincing statistical
evidence to support the belief that the new dark chocolate candy is less bitter than the current dark chocolate
candy on average for those similar to the participants in the study.
(E) Since the taste testers were not randomly selected, this was not a well-designed experiment and a conclusion
about the bitterness of the new dark chocolate candy cannot be made.
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