A survey showed that 34​% 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?

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Answer:

To determine whether 15 out of 26 human resource professionals being at companies that rejected job candidates because of information found on their social media is a significantly high number, we need to compare it to the expected value based on the survey result.

According to the survey, 34% of human resource professionals are at companies that rejected job candidates due to social media information. If we assume that this percentage holds true for the entire population of human resource professionals, the expected number of professionals out of 26 would be:

Expected number = Percentage * Total sample

Expected number = 0.34 * 26 = 8.84

The expected number of professionals who would be at companies that rejected job candidates due to social media information is approximately 8.84.

Now, to determine if 15 is a significantly high number, we can use statistical methods such as hypothesis testing. We can set up a null hypothesis that assumes the observed number (15) is not significantly different from the expected number (8.84). The alternative hypothesis would be that the observed number is significantly higher than the expected number.

We would then perform a statistical test, such as a chi-square test or a binomial test, to assess the significance of the observed number. The test would take into account the sample size, expected number, and the variability in the data.

Without performing the actual statistical test, it is not possible to definitively determine if 15 is a significantly high number. The significance would depend on the level of significance chosen, which is typically set before conducting the analysis.

Therefore, more information and the actual statistical analysis would be required to determine if 15 out of 26 human resource professionals being at companies that rejected job candidates due to social media information is a significantly high number.

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