(Solved): A Pew Research study conducted in 2017 found that approximately \( 75 \% \) of Americans believe th ...

A Pew Research study conducted in 2017 found that approximately \( 75 \% \) of Americans believe that robots and computers might one day do many of the jobs currently done by people (Pew Research website, http://www.pewinternet.org/2017/10/04/americans-attitudes-toward-a-future-inwhich-robots-and-computers-can-do-many-human-fobs/). Suppose we have the following data collected from nurses, tax auditors, and fast-food workers in which a higher score means the person feels his or her job is more likely to be automated. a. Use \( \alpha=0.05 \) to test for differences in the belief that a person's job is likely to be automated for the three professions: \[ F=\text { G (to } 2 \text { decimals) } \] The \( p \)-value is: What is your condiusion? We 13 the null hypothesis that the mean scores are the same for the three professions. b. Use Fisher's ISD procedure to compare the belief that a person's job will be automated for nurses and tax auditors. \( L S D=\Theta_{\text {(to } 2 \text { decimats) }} \) What is your conclusion? We the null hypothesis that the two population means are equal.