A transportation analyst claims that the average commute time in a major city is less than minutes. A hypothesis test is conducted, with a resulting P-value of . What would be the conclusion at a significance level
Table of contents
- 1. Introduction to Statistics53m
- 2. Describing Data with Tables and Graphs2h 2m
- 3. Describing Data Numerically2h 8m
- 4. Probability2h 26m
- 5. Binomial Distribution & Discrete Random Variables3h 28m
- 6. Normal Distribution & Continuous Random Variables2h 21m
- 7. Sampling Distributions & Confidence Intervals: Mean3h 37m
- Sampling Distribution of the Sample Mean and Central Limit Theorem19m
- Distribution of Sample Mean - ExcelBonus23m
- Introduction to Confidence Intervals22m
- Confidence Intervals for Population Mean1h 26m
- Determining the Minimum Sample Size Required12m
- Finding Probabilities and T Critical Values - ExcelBonus28m
- Confidence Intervals for Population Means - ExcelBonus25m
- 8. Sampling Distributions & Confidence Intervals: Proportion2h 20m
- 9. Hypothesis Testing for One Sample5h 15m
- Steps in Hypothesis Testing1h 13m
- Performing Hypothesis Tests: Means1h 1m
- Hypothesis Testing: Means - ExcelBonus42m
- Performing Hypothesis Tests: Proportions39m
- Hypothesis Testing: Proportions - ExcelBonus27m
- Performing Hypothesis Tests: Variance12m
- Critical Values and Rejection Regions29m
- Link Between Confidence Intervals and Hypothesis Testing12m
- Type I & Type II Errors16m
- 10. Hypothesis Testing for Two Samples5h 35m
- Two Proportions1h 12m
- Two Proportions Hypothesis Test - ExcelBonus28m
- Two Means - Unknown, Unequal Variance1h 2m
- Two Means - Unknown Variances Hypothesis Test - ExcelBonus12m
- Two Means - Unknown, Equal Variance15m
- Two Means - Unknown, Equal Variances Hypothesis Test - ExcelBonus9m
- Two Means - Known Variance12m
- Two Means - Sigma Known Hypothesis Test - ExcelBonus21m
- Two Means - Matched Pairs (Dependent Samples)42m
- Matched Pairs Hypothesis Test - ExcelBonus12m
- Two Variances and F Distribution29m
- Two Variances - Graphing CalculatorBonus15m
- 11. Correlation1h 24m
- 12. Regression3h 42m
- Linear Regression & Least Squares Method26m
- Residuals12m
- Coefficient of Determination12m
- Regression Line Equation and Coefficient of Determination - ExcelBonus8m
- Finding Residuals and Creating Residual Plots - ExcelBonus11m
- Inferences for Slope32m
- Enabling Data Analysis ToolpakBonus1m
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- Prediction Intervals13m
- Prediction Intervals - ExcelBonus19m
- Multiple Regression - ExcelBonus29m
- Quadratic Regression23m
- Quadratic Regression - ExcelBonus10m
- 13. Chi-Square Tests & Goodness of Fit2h 31m
- 14. ANOVA2h 32m
9. Hypothesis Testing for One Sample
Steps in Hypothesis Testing
Multiple Choice
Which of the following is the first step in the process of hypothesis testing?
A
State the null and alternative hypotheses.
B
Determine the level of significance.
C
Make a decision to reject or not reject the null hypothesis.
D
Calculate the test statistic.
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Verified step by step guidance1
Understand the purpose of hypothesis testing: Hypothesis testing is a statistical method used to make decisions or inferences about a population based on sample data.
Identify the first step in hypothesis testing: The first step is to clearly state the null hypothesis (H₀) and the alternative hypothesis (H₁). The null hypothesis represents the assumption that there is no effect or no difference, while the alternative hypothesis represents the claim being tested.
Explain the importance of stating hypotheses: Clearly defining H₀ and H₁ ensures that the test is focused and provides a basis for evaluating the evidence provided by the sample data.
Clarify the role of the other steps: Determining the level of significance, calculating the test statistic, and making a decision to reject or not reject the null hypothesis are subsequent steps in the hypothesis testing process.
Highlight the sequence: Emphasize that stating the null and alternative hypotheses is the foundational step that guides the entire hypothesis testing process.
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