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Which of the following is the correct shape and justification of the sampling distribution of Py -B,?

Which of the following is the correct shape and justification of the sampling distribution of Py -B,?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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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 P, and P, 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 py- B?? 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 O not approximately Normal because the expected numbers of successes and failures for the vegetarian group are not both at least 10
Transcribed Image Text: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 P, and P, 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 py- B?? 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 O 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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