### Introduction

Stats Lab 10.1

#### Hypothesis Testing for Two Means and Two Proportions

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
- Three small packages of multicolored chocolates
- Five small packages of peanut butter candies

Increasing Stocks Survey

*H*_{0}_________*H*_{a}_________- In words, define the random variable.
- The distribution to use for the test is _____________.
- Calculate the test statistic using your data.
- Draw a graph and label it appropriately. Shade the actual level of significance.
- Graph:
- Calculate the
*p*-value.

- Graph:
- Do you reject or not reject the null hypothesis? Why?
- Write a clear conclusion using a complete sentence.

Decreasing Stocks Survey

*H*_________{0}*H*_{a}________- In words, define the random variable.
- The distribution to use for the test is _____________.
- Calculate the test statistic using your data.
- Draw a graph and label it appropriately. Shade the actual level of significance.
- Graph
- Calculate the
*p*-value:

- Graph
- Do you reject or not reject the null hypothesis? Why?
- Write a clear conclusion using a complete sentence.

Candy Survey Buy three small packages of multicolored chocolates and five small packages of peanut butter candies (same net weight as the multicolored chocolates). Test whether the mean number of candy pieces per package is the same for the two brands.

*H*_________{0}*H*_________{a}- In words, define the random variable.
- What distribution should be used for this test?
- Calculate the test statistic using your data.
- Draw a graph and label it appropriately. Shade the actual level of significance.
- Graph
- Calculate the
*p*-value.

- Graph
- Do you reject or not reject the null hypothesis? Why?
- Write a clear conclusion using a complete sentence.

Shoe Survey 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.

*H*_________{0}*H*_________{a}- In words, define the random variable.
- The distribution to use for the test is ________________.
- Calculate the test statistic using your data.
- Draw a graph and label it appropriately. Shade the actual level of significance.
- Graph
- Calculate the
*p*-value.

- Graph
- Do you reject or not reject the null hypothesis? Why?
- Write a clear conclusion using a complete sentence.