The Wall Street Journal Corporate Perceptions Study $2011$ surveyed readers and asked how each

rated the quality of management and the reputation of the company for over $250$ worldwide

corporations. Both the quality of management and the reputation were rated on an excellent,

good and fair categorical scale. The results of the survey are given below:

Using a level of significance of $0\mathrm{.}01,$ investigate if the perception about the quality of

management and the reputation of company are independent $($associated$)$ based on these survey

results?

What type of test will you be using to answer the above hypothesis?

a$)$ Chi$-$Squared Test

b$)$ F$-$test $($ANOVA$)$

c$)$ Global F$-$test

d$)$ t$-$test

What is your test statistic?

a$)0\mathrm{.}001$ b$)4$ c$)13\mathrm{.}27$ d$)17\mathrm{.}02$

What is the p$-$value?

a$)0\mathrm{.}001$ b$)0\mathrm{.}10$ c$)0\mathrm{.}05$ d$)0\mathrm{.}082$

What is the critical value?

a$)20\mathrm{.}09$ b$)9\mathrm{.}48$ c$)13\mathrm{.}27$ d$)17\mathrm{.}02$

What is your conclusion?

a$)$ Reject $HO$ b$)$ Fail to Reject $HO$ c$)$ Reject $Ha$ d$)$ Fail to Reject $Ha$