Explore

Probability and Statistics IV: Confidence Intervals and Hypothesis Tests

4 Weeks

$ 199

Save Course

Go to Course

Brief Introduction

This course covers two important methodologies in statistics – confidence intervals and hypothesis testing. Confidence intervals allow us to make probabilistic statements such as: “We are 95% sure that Candidate Smith’s popularity is 52% +/- 3%.” Hypothesis testing allows us to pose hypotheses and test their validity in a statistically rigorous way. For instance, “Does a new drug result in a higher cure rate than the old drug?"

Description

This course covers two important methodologies in statistics – confidence intervals and hypothesis testing.

Confidence intervals are encountered in everyday life, and allow us to make probabilistic statements such as: “Based on the sample of observations we conducted, we are 95% sure that the unknown mean lies between A and B,” and “We are 95% sure that Candidate Smith’s popularity is 52% +/- 3%.” We begin the course by discussing what a confidence interval is and how it is used. We then formulate and interpret confidence intervals for a variety of probability distributions and their parameters.

Hypothesis testing allows us to pose hypotheses and test their validity in a statistically rigorous way. For instance, “Does a new drug result in a higher cure rate than the old drug?” or “Is the mean tensile strength of item A greater than that of item B?” The second half the course begins by motivating hypothesis tests and how they are used. We then discuss the types of errors that can occur with hypothesis testing, and how to design tests to mitigate those errors. Finally, we formulate and interpret hypothesis tests for a variety of probability distributions and their parameters.

Knowledge

Upon completion of this course, learners will be able to:
Identify what a confidence interval is and how it is used
Formulate and interpret confidence intervals for a variety of probability distributions and their parameters
Determine what a hypothesis test is and how it is used
Identify the types of errors that can occur with hypothesis testing, and how to design tests to mitigate those errors
Formulate and interpret hypothesis tests for a variety of probability distributions and their parameters

Recommended for you

Business Statistics with R

Learn business statistics from basic to expert level through a practical course with R statistical software. Become a Business Statistics Expert in this Practical Course with R...

Save Course

Lean Six Sigma Green Belt Online Course (2020)

Prepare for CSSGB Certification-154 Lect/ 15 Hrs/Minitab/Download 108 Resources/LSS Case Study/Eng Subtitles ___________________________________ COURSE UPDATED IN 2020 Includes Subtitles in English...

Save Course