Hypothesis Testing
Hypothesis testing is a fundamental statistical method used to make inferences about a population based on sample data. It involves formulating two competing hypotheses: the null hypothesis, which represents a default assumption, and the alternative hypothesis, which suggests a departure from the null. By collecting and analyzing data, statisticians evaluate the strength of evidence against the null hypothesis, helping to determine whether observed effects are statistically significant or merely due to random chance. This method plays a crucial role in various fields, including science, medicine, economics, and social sciences, providing a rigorous framework for drawing conclusions from empirical observations.
Questions
- Why is it necessary to have a research hypothesis in d presence of research question?
- What is the test statistic and the p-value for the following sample: H0: μ = 60 versus H1: μ _= 60, α = .025, ¯x = 63, σ = 8, n = 16?
- What is the purpose of hypothesis testing in statistics?
- How can you test the fairness of a pair of dice?
- What is the test statistic and the p-value for the following sample: H0: μ >= 60 versus H1: μ < 60, α = .05, ¯x = 58, σ = 5, n = 25?
- What hypothesis test do you use when the population variance is unknown?
- What is the five-step process for hypothesis testing?
- How does sample size affect hypothesis testing?
- What is hypothesis testing in Statistics?
- A retailer sells 8 brands across 500 locations. What statistical test can be used to determine if there is a significant variation of sales between regions?
- How do you calculate Type 1 error and Type 2 error probabilities?
- What is a hypothesis?
- A retailer sells 8 brands across 500 locations. What statistical test can be used to determine if a recent uptick in year over year sales is significant?
- What does it mean when a hypothesis is statistically significant?
- Are z-scores and t-scores the same thing?
- The mean IQ score of statistics professors is less than 119. The significance level is 0.05. What is the null hypothesis (H0) and alternative hypothesis (H1)?
- What is the relationship between a hypothesis and a theory?
- What are the characteristics of a good hypothesis?
- How does hypothesis testing related to confidence intervals?
- How do you calculate the p-value in a hypothesis test?