Hypothesis Testing

Hypothesis Testing

by Bekah Selby

​Review

• ​Discrete RV and distributions

• ​Continuous RV and distributions

• ​Expected Value, Variance, and Standard Deviation of RV

• ​Populations, samples, and measures of the middle

​

​Sample Mean:

Open Ended

What you think was the most useful or most important part of last week's lessons.

Fill in the Blank

What is the sample mean of

{2,3,4,70,1000}?

Round to one decimal place.

​Now

• ​Sampling Distributions

• ​Standard Error

• Null and Alternative Hypotheses

• ​Type I and II errors

• ​Critical Values & Rejection Regions

• ​P-values

Fill in the Blank

What is the standard error when  $$\sigma=10$$  and  $$n=49$$  ?

Round to two decimal places.

Multiple Choice

$$H_0:$$  The person is not guilty

$$H_A:$$ The person is guilty

Which of these  is a type I error?

• Convicted guilty and is guilty

• Convicted guilty but is innocent

• Not convicted but is guilty

• Not convicted and is innocent

Fill in the Blank

$$H_0:\mu=10$$  

$$H_A:\mu\ne10$$  

You measure  $$\overline{x}=30$$   with 49 observations and the population standard deviation is 10. Calculate the Z-statistic.

Multiple Choice

We estimate a sample mean of $$\overline{x}=16.25$$   with $$n=100$$   observations. We know that the variable is normally distributed with a standard deviation of 3. Can we reject the null hypothesis that the true mean is 7 with a 5% rejection region? (two-sided)

• Yes

• No

Multiple Choice

We calculate $$Z\ =\ 2.77$$  . Find the p-value (one-sided). Can we reject the null hypothesis with a 5% rejection region?

• Yes

• No