According to the Community College Research Center at the Teachers College of Columbia University in New York, $ 32 \% $ of community college students work full-time (full-time defined to be a person working 35 or more hours per week). Bryanna believes that this percentage may be higher among $ C B C $ students, so she decides to take a survey of $ C B C $ students to determine if her hypothesis is correct or not. This can be defined as a formal hypothesis as follows:
$$
\begin{array}{l}
H_{0}: p=0.32 \
H_{a}: p0.32
\end{array}
$$
Based on your solutions to Questions (1.)-(4.), which of the following best describes what Bryanna's decision should be and how it should be interpreted?
Reject $ H_{0} $. There is enough evidence to suggest that more than $ 32 \% $ of $ \mathrm{CBC} $ students are working full time.
Reject $ H_{0} $. There is not enough evidence to suggest that more than $ 32 \% $ of $ C B C $ students are working full time.
Fail to reject $ H_{0} $. There is not enough evidence to suggest that more than $ 32 \% $ of CBC students are working full time.
Fail to reject $ H_{0} $. There is enough evidence to suggest that more than $ 32 \% $ of $ \mathrm{CBC} $ students are working full time.

Question

According to the Community College Research Center at the Teachers College of Columbia University in New York, $ 32 \% $ of community college students work full-time (full-time defined to be a person working 35 or more hours per week). Bryanna believes that this percentage may be higher among $ C B C $ students, so she decides to take a survey of $ C B C $ students to determine if her hypothesis is correct or not. This can be defined as a formal hypothesis as follows:
$$
\begin{array}{l}
H_{0}: p=0.32 \
H_{a}: p>0.32
\end{array}
$$
Based on your solutions to Questions (1.)-(4.), which of the following best describes what Bryanna's decision should be and how it should be interpreted?
Reject $ H_{0} $. There is enough evidence to suggest that more than $ 32 \% $ of $ \mathrm{CBC} $ students are working full time.
Reject $ H_{0} $. There is not enough evidence to suggest that more than $ 32 \% $ of $ C B C $ students are working full time.
Fail to reject $ H_{0} $. There is not enough evidence to suggest that more than $ 32 \% $ of CBC students are working full time.
Fail to reject $ H_{0} $. There is enough evidence to suggest that more than $ 32 \% $ of $ \mathrm{CBC} $ students are working full time.

Accepted Answer

AIR MATH

Math Question

Solution

AIR MATH homework app,
absolutely FOR FREE!

Math Question

Solution

AIR MATH homework app,absolutely FOR FREE!

AIR MATH homework app,
absolutely FOR FREE!