Is the type of pet a person had as a child independent of the person\'s gender?

Question

Is the type of pet a person had as a child independent of the person's gender? To test this question, the following information was gathered using a survey. The following is called a two-way table and it shows the counts across two categories: use this Information to answer the question. a. What type of hypothesis test should be used here? b. State the null and alternative hypotheses in words. H_0: H_a: C. What is the probability of finding a sample like this if gender and type of childhood pet are independent (the p-value)? d. If your level of significance (alpha) is 0.05, what conclusion do you draw?

Explanation / Answer

Here we have to compare to sets of data and test for some hypothesis.

1. For such same subject parametric tests, we use Paired t Test.

2. Null Hypothesis: The type of the pet is independent of the gender.

Alternative Hypothesis: Type of pet is not in depended of gender.

3. p = 0.321 which is greater than 0.05 hence, there is not a statistically significant difference between Female and Male.

4. For alpha equal to 0.05, as written in part 3, there is not a statistically significant difference.

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