In: Statistics and Probability
Use this scenario to answer questions below.
The Collins Research Crew (CRC) is interested in examining the number of vape/smoking stores (i.e. stores that sell vaping and cigarette/cigar smoking products) in low-income neighborhoods compared to other types of neighborhoods. CRC's research question is, "Do low-income neighborhoods have more vape/smoke shops than other types of neighborhoods?" Low-income neighborhoods were defined as those where the median household income is less than the U.S. federal poverty line. Non-low-income neighborhoods are those that the median household income is greater than the U.S. federal poverty line.
CRC employed a team of undergraduate researchers to go out and count the number of vape/smoke shops in a random selection of low-income and non-low-income neighborhoods. They define the population as all neighborhoods in King County.
They found a significant difference in the number of vape/smoke shops across neighborhoods. Specifically, low-income neighborhoods had a greater number of vape/smoke shops compared to non-low-income neighborhoods.
Match the null hypothesis, directional hypothesis, and non-directional hypothesis with their most appropriate statement.
Null Hypothesis
[ Choose ]
There is a relationship between the average number of vape/smoke shops and neighborhood type..
There is no relationship between the number of vape/smoke shops and neighborhood type.
Low-income neighborhoods have more vape/smoke shops than non-low-income neighborhoods.average.
Directional Hypothesis
[ Choose ]
There is a relationship between the average number of vape/smoke shops and neighborhood type..
There is no relationship between the number of vape/smoke shops and neighborhood type.
Low-income neighborhoods have more vape/smoke shops than non-low-income neighborhoods.average.
Non-directional hypothesis
[ Choose ]
There is a relationship between the average number of vape/smoke shops and neighborhood type..
There is no relationship between the number of vape/smoke shops and neighborhood type.
Low-income neighborhoods have more vape/smoke shops than non-low-income neighborhoods.average.
Given the research question asked in the scenario above, the best research hypothesis is a non-directional hypothesis.
True OR False
"Specifically, low-income neighborhoods had a greater number of vape/smoke shops compared to non-low-income neighborhoods." What is this sentence indicating?
A. Low-income people vape/smoke at higher levels than the average King County resident
B. Any difference is due to chance and not some systematic influence
C. Any difference is due to some systematic influence and not by chance
D. There is no difference in the number of vape/smoke shops