Inferential statistics problems

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PROBLEM #1
Hypothesis: Males are more likely than females to own dogs.

  1. For the results below, what statistical test would you use to test the hypothesis?


  2. Give the reason for your choice.
PET
GENDER
OF OWNER		 Cat (n=18) Dog (n=26)
Female 43.8% 56.3%
Male 33.3% 66.7%

PROBLEM #2
Question: Is there a difference between cat and dog owners, with respect to whether or not they would replace their current pet with the same species?

  1. For the results below, what statistical test would you use answer the question?


  2. Give the reason for your choice.
CURRENT ANIMAL
REPLACEMENT
CHOICE		 Dog (n=26) Cat (n=18)
Same 50.0% 84.6%
Different 16.7% 0.0%
None 33.3% 15.4%

PROBLEM #3
Hypothesis: Dogs are more sociable than cats.

The table below shows the results for the question "How outgoing and sociable is the animal with visitors?" rated on a scale of 1 to 5 (1 = Not sociable, 2 = Low, 3 = Somewhat, 4 = Moderately, 5 = Very)

  1. What statistical test would you use to test the hypothesis?


  2. Give the reason for your choice.
Animal N Mean SD
Cats 19 3.17 1.26
Dogs 26 4.27 1.06

PROBLEM #4
We also asked the owners to rate themselves on their sociability.

  1. What statistic would we use to find out if there is a relationship between animal sociability and owner sociability?


  2. Give the reason for your choice.

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