A poll found that 37% of male voters and 45% of female voters support a particular candidate. To test whether this candidate has equal levels of support between male and
Female voters, the null hypothesis should be
A) $H _ { 0 } : P _ { \text {male } } = 37 \% , H _ { 0 } : P _ { \text {female } } = 45 \%$.
B) $H _ { 0 } : P _ { \text {male } }

Question

A poll found that 37% of male voters and 45% of female voters support a particular candidate. To test whether this candidate has equal levels of support between male and
Female voters, the null hypothesis should be
A) $H _ { 0 } : P _ { \text {male } } = 37 \% , H _ { 0 } : P _ { \text {female } } = 45 \%$.
B) $H _ { 0 } : P _ { \text {male } } < P _ { \text {female } }$
C) $H _ { 0 } : P _ { \text {male } } = 50 \% , H _ { 0 } : P _ { \text {female } } = 50 \%$.
D) $H _ { 0 } : P _ { \text {male } } = P _ { \text {female } }$.

Quizplus · Accepted Answer

The null hypothesis for testing whether there is equal support between male and female voters should state that the proportion of male voters ($P_{\text{male}}$) supporting the candidate is equal to the proportion of female voters ($P_{\text{female}}$) supporting the candidate, which is represented by $H_0: P_{\text{male}} = P_{\text{female}}$. This directly tests for equality in support levels.

A Poll Found That 37% of Male Voters and 45 H0:Pmale =37%,H0:Pfemale =45%H _ { 0 } : P _ { \text {male } } = 37 \% , H _ { 0 } : P _ { \text {female } } = 45 \%H0​:Pmale ​=37%,H0​:Pfemale ​=45%

A Poll Found That 37% of Male Voters and 45 $H _ { 0 } : P _ { \text {male } } = 37 \% , H _ { 0 } : P _ { \text {female } } = 45 \%$