A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the givensituation.
-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 $9.1 \%$.
The hypotheses are as follows:
Null hypothesis: proportion of Castletown children with asthma $= 9.1 \%$
Alternative hypothesis: proportion of Castletown children with asthma $ 9.1 \%$
A) Rejecting the null hypothesis means there is insufficient evidence that the proportion of Castletown children with asthma is equal to $9.1 \%$
Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion of Castletown children with asthma is greater than $9.1 \%$
B) Rejecting the null hypothesis means there is evidence that the proportion of Castletown children with asthma is greater than $9.1 \%$
Accepting the null hypothesis means there is evidence to conclude that the proportion of Castletown children with asthma is equal to $9.1 \%$
C) Rejecting the null hypothesis means there is evidence that the proportion of Castletown children with asthma is not equal to $9.1 \%$
Accepting the null hypothesis means there is evidence to conclude that the proportion of Castletown children with asthma is equal to $9.1 \%$
D) Rejecting the null hypothesis means there is evidence that the proportion of Castletown children with asthma is greater than $9.1 \%$
Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion of Castletown children with asthma is greater than $9.1 \%$

Question

A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the givensituation.
-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 $9.1 \%$.
The hypotheses are as follows:
Null hypothesis: proportion of Castletown children with asthma $= 9.1 \%$
Alternative hypothesis: proportion of Castletown children with asthma $> 9.1 \%$
A) Rejecting the null hypothesis means there is insufficient evidence that the proportion of Castletown children with asthma is equal to $9.1 \%$
Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion of Castletown children with asthma is greater than $9.1 \%$
B) Rejecting the null hypothesis means there is evidence that the proportion of Castletown children with asthma is greater than $9.1 \%$
Accepting the null hypothesis means there is evidence to conclude that the proportion of Castletown children with asthma is equal to $9.1 \%$
C) Rejecting the null hypothesis means there is evidence that the proportion of Castletown children with asthma is not equal to $9.1 \%$
Accepting the null hypothesis means there is evidence to conclude that the proportion of Castletown children with asthma is equal to $9.1 \%$
D) Rejecting the null hypothesis means there is evidence that the proportion of Castletown children with asthma is greater than $9.1 \%$
Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion of Castletown children with asthma is greater than $9.1 \%$

Quizplus · Accepted Answer

Rejecting the null hypothesis indicates that the data provides sufficient evidence to support the claim that the proportion of children with asthma in Castletown is greater than 9.1%, which aligns with the alternative hypothesis. Failing to reject the null hypothesis means that the data does not provide enough evidence to support the claim that the proportion is greater than 9.1%, but it does not prove the proportion is exactly 9.1%.

A Hypothesis Test Is to Be Performed 9.1%9.1 \%9.1% the Hypotheses Are as Follows: Null Hypothesis: Proportion of Possible

A Hypothesis Test Is to Be Performed $9.1 \%$
the Hypotheses Are as Follows:
Null Hypothesis: Proportion of Possible