STATS LAB 9.1 Hypothesis testing

please use desmo for graphing and include links to desmo graphs

STATS LAB 9.1: Hypothesis Testing of a Single Mean and Single Proportion
1. Save the File with your Name in it, i.e. TEysterW13Lab.docx
2. Make sure it is a Word Doc or PDF file to ensure readability.
3. Complete EACH of the 3 Hypothesis Tests.
4. For each of the surveys, you need to collect some data.
5. For each of the surveys, include the Summary Statistics and your Confidence Level/Alpha.
6. At least 90% Confidence is recommended for all 3.
7. Answer all parts in complete sentences and show all work or explain how you got the values.

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Student Learning Outcomes
The student will select the appropriate distributions to use in each case.
The student will conduct hypothesis tests and interpret the results.
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Television Survey: In a recent survey, it was stated that Americans watch television on average four hours per day. Assume that σ = 2. Using your class (or any 20 – 30 people) as the sample, conduct a hypothesis test to determine if the average for students at your school is lower. Do not make up your data.

Write your answers in the tables below.

Sample Mean

Sample Standard Deviation

Confidence Level

 

 

 

 

?

What is your alternative hypothesis, ?

 

 

 

In words, define the random variable.

Hint: ___ = ____

 

 

The distribution to use for the test is…

 

Determine the test statistic using your data.

 

 

 

Draw a graph and label it appropriately. Shade the actual level of significance.

Screenshot the Graph

 

If you used Desmos, what was the link?

 

 

Determine the p-value.

 

Do you or do you not reject the null hypothesis?

 

Why?

 

Write a clear conclusion using a complete sentence.

 

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Language Survey: About 42.3% of Californians and 19.6% of all Americans over age five speak a language other than English at home. Using your class (or any 20 – 30 people) as the sample, conduct a hypothesis test to determine if the percent of the students at your school who speak a language other than English at home is different from 42.3%.

Write your answers in the tables below.

Sample Mean

Sample Standard Deviation

Confidence Level

 

 

 

 

?

What is your alternative hypothesis, ?

 

 

 

In words, define the random variable.

Hint: ___ = ____

 

 

The distribution to use for the test is…

 

Determine the test statistic using your data.

 

Draw a graph and label it appropriately. Shade the actual level of significance.

Screenshot the Graph

 

If you used Desmos, what was the link?

 

 

Determine the p-value.

 

Do you or do you not reject the null hypothesis?

 

Why?

 

Write a clear conclusion using a complete sentence.

 

Jeans Survey: Suppose that young adults own an average of three pairs of jeans. Survey eight people from your class (or coworkers) to determine if the average is higher than three. Assume the population is normal.

Write your answers in the tables below.

Sample Mean

Sample Standard Deviation

Confidence Level

 

 

 

 

?

What is your alternative hypothesis, ?

 

 

 

In words, define the random variable.

Hint: ___ = ____

 

 

The distribution to use for the test is…

 

Determine the test statistic using your data.

 

 

 

Draw a graph and label it appropriately. Shade the actual level of significance.

Screenshot the Graph

 

If you used Desmos, what was the link?

 

 

Determine the p-value.

 

Do you or do you not reject the null hypothesis?

 

Why?

 

Write a clear conclusion using a complete sentence.

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