Beet farmers claim that 76% of vegetarians like beets, while only 41% of carnivores like beets. Suppose a random samples of 21 vegetarians and 31 carnivores are asked if they like beets. Let and be the sample proportions of vegetarians and carnivores, respectively, who like beets. Which of the following is the correct shape and justification of the sampling distribution of ? bimodal because one population proportion is centered at 0.76, while the other is centered at 0.41 approximately Normal because the expected numbers of successes and failures for each sample are all at least 10 not approximately Normal because the expected numbers of successes and failures for each sample are all at least 10 not approximately Normal because the expected numbers of successes and failures for the vegetarian group are not both at least 10
Beet farmers claim that 76% of vegetarians like beets, while only 41% of carnivores like beets. Suppose a random samples of 21 vegetarians and 31 carnivores are asked if they like beets. Let and be the sample proportions of vegetarians and carnivores, respectively, who like beets. Which of the following is the correct shape and justification of the sampling distribution of ? bimodal because one population proportion is centered at 0.76, while the other is centered at 0.41 approximately Normal because the expected numbers of successes and failures for each sample are all at least 10 not approximately Normal because the expected numbers of successes and failures for each sample are all at least 10 not approximately Normal because the expected numbers of successes and failures for the vegetarian group are not both at least 10
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Beet farmers claim that 76% of vegetarians like beets, while only 41% of carnivores like beets. Suppose a random samples of 21 vegetarians and 31 carnivores are asked if they like beets. Let and be the sample proportions of vegetarians and carnivores, respectively, who like beets.
Which of the following is the correct shape and justification of the sampling distribution of ?
bimodal because one population proportion is centered at 0.76, while the other is centered at 0.41
approximately Normal because the expected numbers of successes and failures for each sample are all at least 10
not approximately Normal because the expected numbers of successes and failures for each sample are all at least 10
not approximately Normal because the expected numbers of successes and failures for the vegetarian group are not both at least 10
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