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Question 1:

Which statistical test is used to compare means between two independent groups?

A) t-test
B) ANOVA
C) Chi-squared test
D) Pearson correlation

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Explanation: The correct answer is A) t-test. The t-test is used to compare means between two independent groups. It assesses whether the difference in means between the groups is statistically significant or if it could have occurred by chance.

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Question 2:

Which statistical test is used to compare means between more than two groups?

A) t-test
B) ANOVA
C) Chi-squared test
D) Pearson correlation

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Explanation: The correct answer is B) ANOVA (Analysis of Variance). ANOVA is used to compare means between more than two groups. It determines whether there are any statistically significant differences among the group means based on the variation within and between the groups.

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Question 3:

Which statistical test is used to examine the association between two categorical variables?

A) t-test
B) ANOVA
C) Chi-squared test
D) Pearson correlation

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Explanation: The correct answer is C) Chi-squared test. The Chi-squared test is used to examine the association between two categorical variables. It determines whether there is a statistically significant relationship between the variables based on the observed frequencies compared to the expected frequencies.

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Question 4:

Which statistical test is used to examine the association between two continuous variables?

A) t-test
B) ANOVA
C) Chi-squared test
D) Pearson correlation

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Explanation: The correct answer is D) Pearson correlation. The Pearson correlation is used to examine the association between two continuous variables. It measures the strength and direction of the linear relationship between the variables, providing a correlation coefficient that ranges from -1 to 1.

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Question 5:

What does it mean if a statistical test yields a p-value of 0.01?

A) There is a 1% chance of a Type I error
B) The observed result is statistically significant at the 1% level
C) The sample size used in the analysis is 0.01
D) The effect size between variables is 0.01

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Explanation: The correct answer is B) The observed result is statistically significant at the 1% level. A p-value of 0.01 indicates that the observed result is statistically significant at a significance level of 0.01 or 1%. This means that the likelihood of obtaining the observed result by chance, assuming the null hypothesis is true, is very low.