Exploring Null and Alternate Hypothesis in Statistics

What is the primary purpose of setting up a null hypothesis in statistics?

• To prove the alternative hypothesis

• To establish a standard for testing statistical significance

• To calculate the mean of the sample data

• To graph the distribution of data

What does a null hypothesis typically represent in a statistical test?

• A graphical representation of data distribution

• A proposed explanation based on evidence as a starting point for further investigation

• A prediction that there is a significant difference between two variables

• A condition where no effect or no difference is assumed in the test

In the soda straw diameter example, what does the null hypothesis state?

• The straws are more than 4 millimeters in diameter

• The straws are not 4 millimeters in diameter

• The straws are exactly 4 millimeters in diameter

• The straws are less than 4 millimeters in diameter

In the context of the soda straw diameter, what does the alternative hypothesis suggest?

• None of the above

• The machine produces straws greater than 4 millimeters

• The machine does not produce straws of 4 millimeters anymore

• The machine continues to produce straws of 4 millimeters

What statistical value is used to set the confidence level in hypothesis testing?

• Beta (β)

• Mu (μ)

• C

• Sigma (σ)

What is the significance level if the confidence level is set to 95%?

• 1

• 0.95

• 0.05

• 5

If a hypothesis test has a confidence level of 99%, what is the significance level?

• 0.1

• 0.99

• 1

• 0.01

Which of the following best describes the role of alpha (α) in hypothesis testing?

• It is used to calculate the standard deviation of the sample

• It determines the threshold for rejecting the null hypothesis

• It calculates the mean of the sample data

• It represents the probability of the alternative hypothesis being true

Which symbol is used in the alternate hypothesis to indicate a value different from the null hypothesis?

• ≥

• ≤

• =

• ≠

In hypothesis testing, what does an alternative hypothesis with a 'greater than' symbol indicate?

• The test results are inconclusive

• The test statistic is expected to be more than a certain value

• The test statistic is expected to be less than a certain value

• The null hypothesis is confirmed