A researcher is interested in investigating whether religiousaffiliation and the brand of sneakers that people wear areassociated. The table below shows the results of a survey.
Frequencies of Religions andSneakers | Nike | Adidas | Other |
|---|
| Protestant | 97 | 100 | 101 |
|---|
| Catholic | 54 | 61 | 100 |
|---|
| Jewish | 15 | 25 | 24 |
|---|
| Other | 85 | 61 | 73 |
|---|
What can be concluded at the ?? = 0.10 significance level?
What is the correct statistical test to use?
Independence
Paired t-test
Homogeneity
Goodness-of-Fit
What are the null and alternative hypotheses?
H0:H0:
The distribution of sneaker brand is not the same for eachreligion.
Sneaker brand and religious affiliation are independent.
Sneaker brand and religious affiliation are dependent.
The distribution of sneaker brand is the same for eachreligion.
H1:H1:
The distribution of sneaker brand is the same for eachreligion.
The distribution of sneaker brand is not the same for eachreligion.
Sneaker brand and religious affiliation are dependent.
Sneaker brand and religious affiliation are independent.
The test-statistic for this data = (Please show youranswer to 2 decimal places.)
The p-value for this sample = (Please show your answer to 4decimal places.)
The p-value is Select an answer greater than less than (or equalto) ??
Based on this, we should
fail to reject the null
reject the null
accept the null
Thus, the final conclusion is...
There is sufficient evidence to conclude that the distributionof sneaker brand is not the same for each religion.
There is insufficient evidence to conclude that the distributionof sneaker brand is not the same for each religion.
There is sufficient evidence to conclude that sneaker brand andreligious affiliation are dependent.
There is sufficient evidence to conclude that sneaker brand andreligious affiliation are independent.
There is insufficient evidence to conclude that sneaker brandand religious affiliation are dependent.
