A hypothesis test is to be performed. State the null and alternative hypotheses. -An environmental group believes that the health of the residents of Castletown is adversely affected by the oil refinery in their town. It believes that in Castletown, the proportion of children who suffer from asthma is higher than the nationwide proportion of $9.1 \%$. A) Null hypothesis: proportion of Castletown children with asthma $ 9.1 \%$ Alternative hypothesis: proportion of Castletown children with asthma $= 9.1 \%$ B) Null hypothesis: proportion of Castletown children with asthma $ 9.1 \%$ C) Null hypothesis: proportion of Castletown children with asthma $= 9.1 \%$ Alternative hypothesis: proportion of Castletown children with asthma $\geq 9.1 \%$ D) Null hypothesis: proportion of Castletown children with asthma $= 9.1 \%$ Alternative hypothesis: proportion of Castletown children with asthma $ 9.1 \%$

Question

A hypothesis test is to be performed. State the null and alternative hypotheses.
-An environmental group believes that the health of the residents of Castletown is adversely affected by the oil refinery in their town. It believes that in Castletown, the proportion of children who suffer from asthma is higher than the nationwide proportion of $9.1 \%$.
A) Null hypothesis: proportion of Castletown children with asthma $> 9.1 \%$
Alternative hypothesis: proportion of Castletown children with asthma $= 9.1 \%$
B) Null hypothesis: proportion of Castletown children with asthma $< 9.1 \%$
Alternative hypothesis: proportion of Castletown children with asthma $> 9.1 \%$
C) Null hypothesis: proportion of Castletown children with asthma $= 9.1 \%$
Alternative hypothesis: proportion of Castletown children with asthma $\geq 9.1 \%$
D) Null hypothesis: proportion of Castletown children with asthma $= 9.1 \%$
Alternative hypothesis: proportion of Castletown children with asthma $> 9.1 \%$

Quizplus · Accepted Answer

The null hypothesis typically represents a statement of no effect or no difference and is often denoted by an equality sign. The alternative hypothesis represents what the researchers are trying to prove, in this case, that the proportion of children with asthma in Castletown is higher than the nationwide proportion. Therefore, the correct formulation is: Null hypothesis = 9.1%, Alternative hypothesis > 9.1%.

A Hypothesis Test Is to Be Performed 9.1%9.1 \%9.1% A) Null Hypothesis: Proportion of Castletown Children with Asthma

A Hypothesis Test Is to Be Performed $9.1 \%$
A) Null Hypothesis: Proportion of Castletown Children with Asthma