single sample hypothesis testing

4. Watch Salman Khan’s discussion of both single sample hypothesis testing here: https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing/v/hypothesis-testing-and-p-values

a. Write out the null hypothesis Khan tests in the video. Does he reject or fail to reject? Is this a one or two tailed test? Why?

b. When is it appropriate to complete a one-tailed hypothesis test or a two-tailed hypothesis test? (subsequent video, same webpage)

c. What does the p-value mean? Also interpret the p-value from a one-tailed t-test whether the population mean (µ) was equal to seven was .073.

c. What would a Type I error be in Khan’s example used in the link above (in words)? What would Type II error be in Khan’s example used in the link above? (discussed in subsequent video, same webpage)

d. When is it appropriate to use the t-distribution and when is it appropriate to use the z-distribution when finding critical values, generating confidence intervals, and performing hypothesis tests? (subsequent video, same webpage)

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