89.8% of people in a region can speak a second language. A random sample of 20 people from the region is surveyed. Which of the following best describes the distribution of p′, the proportion of people from the sample who can speak a second language? A. The distribution of ?′p′ is not approximately normal because np ≥≥ n-5 B. The distribution of ?′p′ is normal becuase it is always normal C. The distribution of ?′p′ is not approximately normal because n < 30 D. The distribution of ?′p′ is approximately normal becuase np ≥≥ 5 E. None of the above

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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89.8% of people in a region can speak a second language. A random sample of 20 people from the region is surveyed.

Which of the following best describes the distribution of p′, the proportion of people from the sample who can speak a second language?

A. The distribution of ?′p′ is not approximately normal because np ≥≥ n-5
B. The distribution of ?′p′ is normal becuase it is always normal
C. The distribution of ?′p′ is not approximately normal because n < 30
D. The distribution of ?′p′ is approximately normal becuase np ≥≥ 5
E. None of the above

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