semi-final round

What does p-value represent in hypothesis testing?

• The probability of making a Type I error

• The strength of the relationship between variables

• The statistical significance of the test results

• The difference between the sample mean and the population mean

What is the primary purpose of a confidence interval in statistics?

• To estimate the population parameter

• To determine the sample size needed

• To test the null hypothesis

• To calculate the p-value

Which of the following best describes a Type II error?

• Failing to reject a false null hypothesis

• Rejecting a true null hypothesis

• Accepting the alternative hypothesis when it is false

• Incorrectly concluding that there is no effect

What does a high R-squared value indicate in a regression analysis?

• A strong relationship between the independent and dependent variables

• A weak relationship between the independent and dependent variables

• That the model is overfitting the data

• That the residuals are normally distributed

What is the consequence of a Type I error in hypothesis testing?

• Rejecting a true null hypothesis

• Failing to reject a false null hypothesis

• Accepting the null hypothesis when it is false

• Incorrectly concluding that there is an effect

In regression analysis, what does a low p-value for a coefficient indicate?

• That the coefficient is statistically significant

• That the coefficient is not significant

• That the model is poorly specified

• That the residuals are heteroscedastic

What does it mean if a confidence interval does not include zero?

• There is a statistically significant effect

• The sample size is too small

• The results are inconclusive

• The null hypothesis is accepted