Quiz-2: AST 306

If the probability of making a Type II error is 0.2 then what is the power of the test?

We use Chi-Square Test to assess:

• A) The mean of a population
  

• B) The relationship between two continuous variables
  

• C) The association between categorical variables
  

• D) The variance of a population

Fisher's Exact Test is primarily used for:

• A) Continuous data
  

• B) Large sample sizes
  

• C) Testing relationships in small categorical data
  

• D) Assessing variance

The score function is defined as:

• A) The negative log-likelihood function
  

• B) The derivative of the likelihood function with respect to the parameter
  

• C) The average of the data points
  

• D) The variance of the sample

What is the purpose of a point estimator?

• A) To calculate confidence intervals
  

• B) To estimate a parameter from observed data
  

• C) To determine the p-value
  

• D) To test hypotheses

In hypothesis testing, if we fail to reject a null hypothesis that is actually false, what type of error have we committed?

• A) Type I Error
  

• B) Type II Error

A 95% confidence interval for a population mean indicates:

• A) There is a 95% chance that the population mean falls within the interval.
  

• B) 95% of sample means will fall within the interval.
  

• C) If we were to take many samples, 95% of those intervals would contain the population mean.

• D) The interval will contain the population mean in every sample.

Which property ensures an estimator converges to the true value as sample size increases?

• A) Unbiased
  

• B) Consistency

• 
  C) Efficient
  

• D) Sufficient

A sufficient statistic means the this statistic

• A) Captures all info
  

• B) Minimizes bias
  

• C) Predicts accurately
  

• D) Is sample mean