Question

use the given probability value to determine whether the sample results could easily occur by chance, then form a conclusion
in an shrm survey of 410 human resource workers, it was found that 148 of these workers have turned down job applicants because of information they found on social media. a job recruiter claims that less than 50% of human resource professionals have turned down job applicants because of information found on social media. if the true rate is 50%, there is a 0.00000000978 probability of getting 148 or fewer human resource professionals who turn down job applicants because of information found on social media. if the true rate is 50%, is the result of 148 significantly low? what does that suggest about the claim that the rate is less than 50%?

the result of 148 ▼ significantly low because the probability is ▼ 0.05. this suggests ▼

Explanation:

Step1: Recall Significance Rule

A result is significantly low if its probability (of occurring or being more extreme) is less than 0.05.

Step2: Compare Probability

The given probability is \(0.0000000978\), which is much less than \(0.05\).

Step3: Determine Significance

Since \(0.0000000978 < 0.05\), the result of 148 is significantly low.

Step4: Interpret the Claim

A significantly low result (when the assumed true rate is 50%) supports the claim that the true rate is less than 50%, as such a low result is unlikely under the 50% rate assumption.

Answer:

The result of 148 \(\boldsymbol{\text{is}}\) significantly low because the probability is \(\boldsymbol{\text{less than}}\) 0.05. This suggests \(\boldsymbol{\text{the claim that less than 50\% of human resource professionals have turned down job applicants because of social media information is supported}}\).