A statistics professor wants to see if more than 80% of her students enjoyed taking her class. At the End of the term, she takes a random sample of students from her large class and asks, in an Anonymous survey, if the students enjoyed taking her class. Which set of hypotheses should she Test? A) $\mathrm { H } _ { 0 } : p 0.80$ $\mathrm { H } _ { \mathrm { A } } : p = 0.80$ C) $\mathrm { H } _ { 0 } : p = 0.80$ $\mathrm { H } _ { \mathrm { A } } : p 0.80$ D) $\mathrm { H } _ { 0 } : p 0.80$ E) $\mathrm { H } _ { 0 } : p = 0.80$ $\mathrm { H } _ { \mathrm { A } } : p

Question

A statistics professor wants to see if more than 80% of her students enjoyed taking her class. At the End of the term, she takes a random sample of students from her large class and asks, in an Anonymous survey, if the students enjoyed taking her class. Which set of hypotheses should she Test? A) $\mathrm { H } _ { 0 } : p < 0.80$ $\mathrm { H } _ { \mathrm { A } } : p \neq 0.80$ B) $\mathrm { H } _ { 0 } : p > 0.80$ $\mathrm { H } _ { \mathrm { A } } : p = 0.80$ C) $\mathrm { H } _ { 0 } : p = 0.80$ $\mathrm { H } _ { \mathrm { A } } : p > 0.80$ D) $\mathrm { H } _ { 0 } : p < 0.80$ $\mathrm { H } _ { \mathrm { A } } : p > 0.80$ E) $\mathrm { H } _ { 0 } : p = 0.80$ $\mathrm { H } _ { \mathrm { A } } : p < 0.80$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) should state that the proportion of students who enjoyed the class is equal to 0.80, while the alternative hypothesis ($H_A$) should state that the proportion is greater than 0.80, as the professor wants to test if more than 80% enjoyed the class.

A Statistics Professor Wants to See If More Than 80 H0:p<0.80\mathrm { H } _ { 0 } : p < 0.80H0​:p<0.80

A Statistics Professor Wants to See If More Than 80 $\mathrm { H } _ { 0 } : p < 0.80$