Asked by Danielle Giannini on May 10, 2024

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Which of the following can be the null hypothesis for a research study that would employ the chi-square test for independence?

A) H0: gender and SUV ownership are dependent
B) H0: gender and SUV ownership are independent
C) H0: μgender = μSUV ownership
D) H0: σ2gender = σ2SUV ownership

Null Hypothesis

A statistical hypothesis that assumes no significant difference or effect exists among the tested groups or variables.

Chi-Square Test

A statistical test used to determine if there is a significant difference between observed frequencies and expected frequencies in categorized datasets.

Independence

A situation in statistics where two events are not influenced by each other, and the occurrence of one does not affect the probability of occurrence of the other.

  • Know the null hypothesis structure for various statistical tests including the chi-square test of independence.
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vanessa fillopMay 16, 2024
Final Answer :
B
Explanation :
The null hypothesis for a chi-square test for independence is that the two variables being tested are independent. Therefore, option B stating that "gender and SUV ownership are independent" is the correct choice for the null hypothesis. Options A and C are indicating that the variables are dependent, which is the opposite of what the null hypothesis should state. Option D is not relevant to the chi-square test for independence, as it deals with standard deviations rather than independence between variables.