# Connexions

You are here: Home » Content » Hypothesis Testing of Two Means and Two Proportions: Lab I

### Recently Viewed

This feature requires Javascript to be enabled.

### Tags

(What is a tag?)

These tags come from the endorsement, affiliation, and other lenses that include this content.

# Hypothesis Testing of Two Means and Two Proportions: Lab I

Summary: Note: This module is currently under revision, and its content is subject to change. This module is being prepared as part of a statistics textbook that will be available for the Fall 2008 semester.

Note: You are viewing an old version of this document. The latest version is available here.

Class Time:

Names:

## 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.

## Supplies:

• The business section from two consecutive days’ newspapers
• 3 small packages of M&Ms®
• 5 small packages of Reeses Pieces®

## Increasing Stocks Survey

Look at yesterday’s newspaper business section. Conduct a hypothesis test to determine if the proportion of New York Stock Exchange (NYSE) stocks that increased is greater than the proportion of NASDAQ stocks that increased. As randomly as possible, choose 40 NYSE stocks and 32 NASDAQ stocks and complete the following statements.

1. H o H o
2. H a H a
3. In words, define the Random Variable. ____________=
4. The distribution to use for the test is:
5. Calculate the test statistic using your data.
6. Draw a graph and label it appropriately. Shade the actual level of significance.
• a. Graph:
• b. Calculate the p-value:
7. Do you reject or not reject the null hypothesis? Why?
8. Write a clear conclusion using a complete sentence.

## title

Randomly pick 8 stocks from the newspaper. Using two consecutive days’ business sections, test whether the stocks went down, on average, for the second day.

1. H o H o
2. H a H a
3. In words, define the Random Variable. ____________=
4. The distribution to use for the test is:
5. Calculate the test statistic using your data.
6. Draw a graph and label it appropriately. Shade the actual level of significance.
• a. Graph:
• b. Calculate the p-value:
7. Do you reject or not reject the null hypothesis? Why?
8. Write a clear conclusion using a complete sentence.

## Do the Experiment:

1. Look at yesterday’s newspaper business section. Conduct a hypothesis test to determine if the proportion of New York Stock Exchange (NYSE) stocks that increased is greater than the proportion of NASDAQ stocks that increased. As randomly as possible, choose 40 NYSE stocks and 32 NASDAQ stocks.
• a. HoHo size 12{H rSub { size 8{o} } } {}:
• b. HaHa size 12{H rSub { size 8{a} } } {}:
• c. In words, define the random variable.
• d. What distribution should be used for this test?
• e. Calculate the test statistic using your data.
• f. Draw a graph and label it appropriately. Shade the actual level of significance. Then calculate the pp size 12{p} {}-value.
• g. Do you reject or not reject the null hypothesis? Why?
• h. Write a clear conclusion using a complete sentence.
2. Randomly pick 8 stocks from the newspaper. Using two consecutive days’ business sections, test whether the stocks went down, on average, for the second day.
• a. HoHo size 12{H rSub { size 8{o} } } {}:
• b. HaHa size 12{H rSub { size 8{a} } } {}:
• c. In words, define the random variable.
• d. What distribution should be used for this test?
• e. Calculate the test statistic using your data.
• f. Draw a graph and label it appropriately. Shade the actual level of significance. Then calculate the pp size 12{p} {}-value.
• g. Do you reject or not reject the null hypothesis? Why?
• h. Write a clear conclusion using a complete sentence.
3. Buy three small packages of M&Ms and 5 small packages of Reeses Pieces (same net weight as the M&Ms). Test whether or not the average number of candy pieces per package is the same for the two brands.
• a. HoHo size 12{H rSub { size 8{o} } } {}:
• b. HaHa size 12{H rSub { size 8{a} } } {}:
• c. In words, define the random variable.
• d. What distribution should be used for this test?
• e. Calculate the test statistic using your data.
• f. Draw a graph and label it appropriately. Shade the actual level of significance. Then calculate the pp size 12{p} {}-value.
• g. Do you reject or not reject the null hypothesis? Why?
• h. Write a clear conclusion using a complete sentence.
• i. Explain how your results might differ if 10 people pooled their raw data together and the test were redone.
• j. Would this new test or the original one be more accurate? Explain your answer in complete sentences.
4. Test whether women have, on average, more pairs of shoes than men. Include all forms of sneakers, shoes, sandals, and boots. Use your class as the sample.
• a. HoHo size 12{H rSub { size 8{o} } } {}:
• b. HaHa size 12{H rSub { size 8{a} } } {}:
• c. In words, define the random variable.
• d. What distribution should be used for this test?
• e. Calculate the test statistic using your data.
• f. Draw a graph and label it appropriately. Shade the actual level of significance. Then calculate the pp size 12{p} {}-value.
• g. Do you reject or not reject the null hypothesis? Why?
• h. Write a clear conclusion using a complete sentence.

## Content actions

### Give feedback:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

#### Definition of a lens

##### Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

##### What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

##### Who can create a lens?

Any individual member, a community, or a respected organization.

##### What are tags?

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks