Reference no: EM132869145

Q1. Distinguish between probability and non-probability samples. What are the advantages and disadvantages of each?

Q2: The application of Chi-square and t-tests in hypothesis testing.

Scenario 1

A consultant has collected 700 usable responses via a probability sample concerning political opinions. After analyzing each respondent's political ideology, he/she divides the respondents into two groups, moderate liberals and moderate conservatives. Further, the consultant asks respondents the following:

How likely are you to vote for increasing property taxes in the next election?

(1) very unlikely (2) somewhat unlikely (3) undecided (4) somewhat likely (5) very likely

The consultant wants to determine if the moderate conservatives differ significantly from moderate liberals concerning how they'll vote on the property tax issue in the next election.

Scenario 2

A local car dealer is attempting to determine which premium will draw the most visitors to its showroom. An individual who visits the showroom and takes a test ride is given a premium with no obligation. The dealer chose four premiums and offered each for one week. The results are as follows:

Week, Premium, Total Given Out

1: Four-foot metal stepladder 425

2: $50 savings bond 610

3: Dinner for four at a local steakhouse 510

4: Six pink flamingos plus an outdoor thermometer 705

a). Please identify the appropriate statistical test for each scenario and explain why you choose this test.

b). For each scenario, please generate the null and alternative hypotheses for each test.

c). Assuming both test statistics are rejected (provide actual numbers and table values), what conclusion can you drawn based on your hypothesis. Interpret your results for both scenarios.