According to a study, 64% of all males between the ages of 18 and 24 live at home. (Unmarried college students living in a dorm are counted as living at home.) Suppose that a survey is administered and 140 of 207 respondents indicated that they live at home. (a) Use the normal approximation to the binomial to approximate the probability that at least 140 respondents live at home. (b) Do the results from part (a) contradict the study? (a) P(X2 140) = (Round to four decimal places as needed.) %3D (b) Does the result from part (a) contradict the results of the study? A. Yes, because the probability of P(X2 140) is less than 0.05. B. No, because the probability of P(X2 140) is less than 0.05. O C. No, because the probability of P(X 2 140) is greater than 0.05. O D. Yes, because the probability of P(X 2 140) is greater than 0.05.

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According to a study, 64% of all males between the ages of 18 and 24 live at home. (Unmarried college students living in a dorm are counted as living at home.) Suppose that a survey is administered, and 140 of 207 respondents indicated that they live at home. 

(a) Use the normal approximation to the binomial to approximate the probability that at least 140 respondents live at home.

\[ \text{P}(X \geq 140) = \_\_\_\_ \ (\text{Round to four decimal places as needed.}) \]

(b) Do the results from part (a) contradict the results of the study?

- A. Yes, because the probability of P(X ≥ 140) is less than 0.05.
- B. No, because the probability of P(X ≥ 140) is less than 0.05.
- C. No, because the probability of P(X ≥ 140) is greater than 0.05.
- D. Yes, because the probability of P(X ≥ 140) is greater than 0.05.
Transcribed Image Text:According to a study, 64% of all males between the ages of 18 and 24 live at home. (Unmarried college students living in a dorm are counted as living at home.) Suppose that a survey is administered, and 140 of 207 respondents indicated that they live at home. (a) Use the normal approximation to the binomial to approximate the probability that at least 140 respondents live at home. \[ \text{P}(X \geq 140) = \_\_\_\_ \ (\text{Round to four decimal places as needed.}) \] (b) Do the results from part (a) contradict the results of the study? - A. Yes, because the probability of P(X ≥ 140) is less than 0.05. - B. No, because the probability of P(X ≥ 140) is less than 0.05. - C. No, because the probability of P(X ≥ 140) is greater than 0.05. - D. Yes, because the probability of P(X ≥ 140) is greater than 0.05.
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