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An IT company has 500 employees. 40% of the employees are women, 60% of the employees are married, and of those married, 15% are women.
(a) What is the probability that a randomly selected employee is a woman or is married?
(b) What is the probability of selecting a male and married employee?
(c) An employee is randomly selected and is a male, what is probability that he is married?
(d) Consider the employees in this IT company as a sample, at 5% level of significance, is there evidence that the population proportion of married IT employees is 55%? Specify the required conditions of your test.
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