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There are 15,958,866 adults in a region. If a polling organization randomly selects 1235 adults without replacement, are the selections independent or dependent? If the selections are dependent, can they be treated as independent for the purposes of calculations? Are the selections independent or dependent? O A. The selections are dependent, because the sample size is not small relative to the population. O B. The selections are dependent, because the selection is done without replacement. OC. The selections are independent, because the selection is done without replacement. O D. The selections are independent, because the sample size is small relative to the population. If the selections are dependent, can they be treated as independent for the purposes of calculations? O A. Yes, because the sample size is less than 5% of the population. O B. Yes, because the sample size is greater than 5% of the population. OC. No, because the sample size is greater than 5% of the population. O D. The selections are independent.

There are 15,958,866 adults in a region. If a polling organization randomly selects 1235 adults without replacement, are the selections independent or dependent? If the selections are dependent, can they be treated as independent for the purposes of calculations? Are the selections independent or dependent? O A. The selections are dependent, because the sample size is not small relative to the population. O B. The selections are dependent, because the selection is done without replacement. OC. The selections are independent, because the selection is done without replacement. O D. The selections are independent, because the sample size is small relative to the population. If the selections are dependent, can they be treated as independent for the purposes of calculations? O A. Yes, because the sample size is less than 5% of the population. O B. Yes, because the sample size is greater than 5% of the population. OC. No, because the sample size is greater than 5% of the population. O D. The selections are independent.

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
Section11.5: Interpreting Data
Problem 1C
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There are 15,958,866 adults in a region. If a polling organization randomly selects 1235 adults without replacement, are the selections independent or dependent? If the selections are dependent, can they be treated as independent for the purposes of calculations? Are the selections independent or dependent? O A. The selections are dependent, because the sample size is not small relative to the population. B. The selections are dependent, because the selection is done without replacement. C. The selections are independent, because the selection is done without replacement. D. The selections are independent, because the sample size is small relative to the population. If the selections are dependent, can they be treated as independent for the purposes of calculations? A. Yes, because the sample size is less than 5% of the population. B. Yes, because the sample size is greater than 5% of the population. C. No, because the sample size is greater than 5% of the population. O D. The selections are independent.
Transcribed Image Text:There are 15,958,866 adults in a region. If a polling organization randomly selects 1235 adults without replacement, are the selections independent or dependent? If the selections are dependent, can they be treated as independent for the purposes of calculations? Are the selections independent or dependent? O A. The selections are dependent, because the sample size is not small relative to the population. B. The selections are dependent, because the selection is done without replacement. C. The selections are independent, because the selection is done without replacement. D. The selections are independent, because the sample size is small relative to the population. If the selections are dependent, can they be treated as independent for the purposes of calculations? A. Yes, because the sample size is less than 5% of the population. B. Yes, because the sample size is greater than 5% of the population. C. No, because the sample size is greater than 5% of the population. O D. The selections are independent.
Expert Solution
Step 1

Since the polling organisation selects adults randomly without replacement, they are dependent as the occurrence of one event affects the probability of occurrence of the other. 

Therefore, the correct option is B

 

 

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