Question

A researcher is interested in investigating whether religious affiliation and the brand of sneakers that people wear are associated. The table below shows the results of a survey.

Frequencies of Religions and Sneakers

NikeAdidasOther

Protestant7395106

Catholic696583

Jewish171840

Other907476

What can be concluded at the αα = 0.05 significance level?

What is the correct statistical test to use?

Paired t-test

Independence

Homogeneity

Goodness-of-Fit

What are the null and alternative hypotheses?
H0:H0:

Sneaker brand and religious affiliation are dependent.

Sneaker brand and religious affiliation are independent.

The distribution of sneaker brand is the same for each religion.

The distribution of sneaker brand is not the same for each religion.

H1:H1:

The distribution of sneaker brand is not the same for each religion.

Sneaker brand and religious affiliation are independent.

Sneaker brand and religious affiliation are dependent.

The distribution of sneaker brand is the same for each religion.

The test-statistic for this data =  (Please show your answer to three decimal places.)

The p-value for this sample = (Please show your answer to four decimal places.)

The p-value is Select an answer less than (or equal to) greater than  αα

Based on this, we should

accept the null

reject the null

fail to reject the null

Thus, the final conclusion is...

There is sufficient evidence to conclude that the distribution of sneaker brand is not the same for each religion.

There is insufficient evidence to conclude that sneaker brand and religious affiliation are dependent.

There is sufficient evidence to conclude that sneaker brand and religious affiliation are independent.

There is insufficient evidence to conclude that the distribution of sneaker brand is not the same for each religion.

There is sufficient evidence to conclude that sneaker brand and religious affiliation are dependent.

Answer 1

LEVEL OF SIGNIFICANCE =0.05

INDEPENDENCE TEST

H0: Sneaker brand and religious affiliation are independent.

Ha: Sneaker brand and religious affiliation are dependent.

TEST STATISTIC =

The p-value is .0120

P value is less than 0.05

REJECT THE NULL HYPOTHESIS

There is sufficient evidence to conclude that sneaker brand and religious affiliation are dependent.