A recent survey asked a sample of 50 persons “How often do you attend religious services?” Of those sampled, 30 were women and 20 were men. Of the women surveyed: 70 percent reported that they attend religious services regularly30 percent reported that they do not attend religious services regularly Of the men surveyed: 20 percent said they attend religious services regularly80 percent reported that they do not attend religious services regularly (a) Use the information above to complete the following contingency table: Attend religious services regularly Do not attend religious services regularly Total Woman 30 Men 20 Total 50 (b) Using your answer to part (a), calculate the probability that a randomly selected respondent who attends religious services regularly is a male. (c) Are the events ‘attend religious services regularly’ and ‘respondent is male’ independent? Give reasons for your answer. (d) Are the events ‘attend religious services regularly’ and ‘respondent is male’ mutually exclusive? Give reasons for your answer.
A recent survey asked a sample of 50 persons “How often do you attend religious services?” Of those sampled, 30 were women and 20 were men. Of the women surveyed:
70 percent reported that they attend religious services regularly
30 percent reported that they do not attend religious services regularly
Of the men surveyed:
20 percent said they attend religious services regularly
80 percent reported that they do not attend religious services regularly
(a) Use the information above to complete the following contingency table:
| Attend religious services regularly | Do not attend religious services regularly | Total | |
| Woman | 30 | ||
| Men | 20 | ||
| Total | 50 |
(b) Using your answer to part (a), calculate the probability that a randomly selected respondent who attends religious services regularly is a male.
(c) Are the events ‘attend religious services regularly’ and ‘respondent is male’ independent?
Give reasons for your answer.
(d) Are the events ‘attend religious services regularly’ and ‘respondent is male’ mutually
exclusive? Give reasons for your answer.
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