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A population of computer scientists is made up of programmers and analysts. Of this population, 500 individuals were randomly selected, 300 of whom were programmers

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A population of computer scientists is made up of programmers and analysts. Of this population, 500 individuals were randomly selected, 300 of whom were programmers and 200 are analysts. Among these 500 employees, 175 programmers and 105 analysts work part time. We want to test if the proportion px of programmers working part-time is greater than the proportion py of analysts working part-time. Using the approach based on the normal distribution, give the p-value of the test, then conclude with Cl or C2: C1 : the test is not significant at the threshold of = 5% C2: the test is significant at the threshold of = 5% Choose between the options: a- 0.0992 and Cl b- 0.0992 and C2 c- 0.9008 and C1 d- 0.9008 and C2 e- 0.0500 and C1 f- 0.0500 and C2 g- 0.0250 and C1 h- 0.0250 and C2

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