Hypothesis Testing for Two Means and Two Proportions, Hypothesis Testing with Two Samples | Statistics

Learning objectives

Hypothesis Testing for Two Means and Two Proportions

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

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.

H₀: _________
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.
1. Graph:
  View original figure (external; image not reproduced in this text edition)
  Original figure description: This is a blank graph template. The vertical and horizontal axes are unlabeled.
2. Calculate the p value.
Do you reject or not reject the null hypothesis? Why?
Write a clear conclusion using a complete sentence.

Decreasing Stocks Survey

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

H₀: ________
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.
1. Graph
  View original figure (external; image not reproduced in this text edition)
  Original figure description: This is a blank graph template. The vertical and horizontal axes are unlabeled.
2. Calculate the p value:
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.

H₀: ________
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.
1. Graph
  View original figure (external; image not reproduced in this text edition)
  Original figure description: This is a blank graph template. The vertical and horizontal axes are unlabeled.
2. Calculate the p value.
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.

H₀: ________
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.
1. Graph
  View original figure (external; image not reproduced in this text edition)
  Original figure description: This is a blank graph template. The vertical and horizontal axes are unlabeled.
2. Calculate the p value.
Do you reject or not reject the null hypothesis? Why?
Write a clear conclusion using a complete sentence.

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