Question

In: Statistics and Probability

A researcher is interested in investigating whether living situation and pet ownership are dependent. The table...

A researcher is interested in investigating whether living situation and pet ownership are dependent. The table below shows the results of a survey.

Frequencies of Living Situation and Pet

SingleFamilyCouple

Dog809171

Cat1039872

Various444342

None685942

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

What is the correct statistical test to use?

Paired t-test

Homogeneity

Goodness-of-Fit

Independence

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

Pet ownership and living situation are independent.

Pet ownership and living situation are dependent.

The distribution of pets is not the same for each living situation.

The distribution of pets is the same for each living situation.

H1:H1:

Pet ownership and living situation are independent.

The distribution of pets is the same for each living situation.

The distribution of pets is not the same for each living situation.

Pet ownership and living situation are dependent.

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

fail to reject the null

accept the null

reject the null

Thus, the final conclusion is...

There is insufficient evidence to conclude that the distribution of pets is not the same for each living situation.

There is sufficient evidence to conclude that pet ownership and living situation are independent.

There is sufficient evidence to conclude that the distribution of pets is not the same for each living situation.

There is insufficient evidence to conclude that pet ownership and living situation are dependent.

There is sufficient evidence to conclude that pet ownership and living situation are dependent.

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Expert Solution

orchestra answered 1 year ago

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