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A survey showed that 36% of human resource professionals are at companies that rejected job candidates because of information found on their social media. If
A survey showed that 36% of human resource professionals are at companies that rejected job candidates because of information found on their social media. If 26 human resource professionals are randomly selected, would 15 be a significantly high number to be at companies that rejected job candidates because of information found on their social media? Why or why not? Having x successes among n trials is a significantly high number of successes if the probability of x or more successes is 0.05 or less. That is, x is a significantly high number of successes if P(x or more) = 0.05. The probability of obtaining x successes in n independent trials of a procedure that follows a binomial is given by the formula below, where n is the number of trials, x is the number of successes among n trials, p is the probability of success in any one trial, and q is the probability of failure in any one trial (q = 1 - p). n! P(X) = (n- x)Ixl ' P . (1 - p) , for x = 0, 1, 2, .., n Use technology to calculate P(15 or more). First find the values of n and p. n= 26 P= 0.36 (Type an integer or a decimal. Do not round.) Use these values to calculate P(15 or more). P(15 or more) = 0.0197 (Round to four decimal places as needed.) Thus, the probability that at least 15 human resource professionals are at companies that rejected job candidates because of information found on their social media is 0.0197. To determine if the result is unusual or not, compare the probability 0.0197 to 0.05
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