Table 3: Two Sample Hypothesis Test Analysis

Research Question: Do married households spend more on meat than not married households? Suppose that a sample of 30 households were asked about marital status and their total expenditures on meat items annually. Test at the 5% level.

Two Sample Hypothesis Test that Will Be Used and Rationale for Using It: To test if there is a difference between two from two or more different populations.

State the Random Variable and Parameter in Words:

x1 = Married households expenditures on meat

x2= Not Married households expenditures on meat

1= mean of married households expenditures on meat

2= mean of not married households expenditures on meat

State Null and Alternative Hypotheses and Level of Significance:

Null hypothesis: H0: 1= 2

Alternative hypothesis: HA: 1 2

a=0.05

Method Used to Analyze Data: Excel

Find the sample statistic, test statistic, and p-value:

Data:

married

8671, 8789, 8970, 9037, 9101, 9395, 9513, 10330, 10363, 10682, 10856, 10865, 11089, 11278, 11710

NOT Married

6900, 6937, 6948, 6971, 6982, 6991, 7000, 7036, 7040, 7051, 7051, 7073, 7089, 7097, 7130