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When applying for jobs, assume each job application has a 30% chance of resulting in an interview independent of each other job application. Use the relative frequencies to estimate the probability of being called for an interview. This requires applying to a number of jobs and computing the relative frequency for the number of times you are called for an interview. Using SPSS, simulate the experiment of applying to jobs n times. Let I denote the event of being called for an interview. Consider n = 10, 100, 5, 000 and 10, 000 simulations.
(a) Use the relative frequency method to estimate P(I) for n = 10.(b) Use the relative frequency method to estimate P(I) for n = 100.(c) Use the relative frequency method to estimate P(I) for n = 5, 000.(d) Use the relative frequency method to estimate P(I) for n = 10, 000.(e) Compare your results from these simulations and identify which of the point estimates is closest to the true probability. Explain.
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