3. Tests on nominal data Aa Aa For each of the following scenarios, indicate the

Question

3. Tests on nominal data Aa Aa For each of the following scenarios, indicate the test (or tests) that are appropriate by placing a check in the box (or boxes). Note that more than one test may be appropriate for a scenario Chi-Squared Goodness-of Fit Test Chi-Squared Test ofa Contingency Table Scenario z-test of p z-test of p1 p2 A political researcher randomly polls 300 Republicans and 200 Democrats in order to test whether members of each group are equally likely to have made a charitable donation during the past year Two friends, Melissa and Olga, frequently play the same board game together. Melissa complains that the six-color spinner included in the game is unfair. Olga, a statistician, spins the spinner 50 times to test whether the probabilities of obtaining each of the six colors are equal A political science researcher wants to know if more than 50% of the city's Republicans approve of their mayor The researcher surveys a random sample of Republicans to investigate A researcher randomly polls 500 college students to test whether there is a relationship between academic major and the news source (print, television and radio, or Internet) most used by the students The quality control manager at a firm that produces watches wants to know if the proportion of watches that are defective is 1%. The manager randomly selects a sample of watches as they leave the assembly line to investigate

Explanation / Answer

Scenario 1 - z test of p1 - p2
Reason - Here the test is check for equality of proportions of Republicans and Democrats making charitable donations.

Scenario 2 - Chi-squared Goodness of fit test
Reason - Here the test is check that probabilities of six colors are equal (That is probabilities are consistent with a specified distribution).

Scenario 3 - z test of p
Reason - Here the test is check for proportion of republicans approve mayor is greater than 50%.

Scenario 4 - Chi-squared test of a contingency table
Reason - Here the test is check for relationships between academic major and news sources.

Scenario 5 - z test of p
Reason - Here the test is check for proportion of defective watches is 1%.

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