1. Use 1 decimal for your expected counts, report your test statistic value in 1
ID: 3318952 • Letter: 1
Question
1. Use 1 decimal for your expected counts, report your test statistic value in 1 decimal.
2. What is your critical value? Use 2 decimals.
3. What is your conclusion? A) Gas preference and income are dependent. B) Gas preference and income are independent. C) You don't know.
1. Suppose a business researcher wants to determine whether type of gas preferred is inde- penden question about gas preference and a second question about income. The respondent is to check whether he or she prefers (1) regular gas, (2) supreme gas, or (3) extra supreme gas. The respondent is also to check his or her income as being (1) less than $50,000 or (2) more than $49,999. The survey results are summarized in the table below t of a person's income. She takes a random survey of gas purchasers, asking them one Gas preferred Income Less than 50,000 More than 49,999|Total Regular upreme Extra Supreme 187 71 42 300 83 125 76 284 270 196 118 584 0 Does gas preference depend on income level? Use = 0.05Explanation / Answer
H0 : Gas preference and income are independent.
Vs H1: Gas preference and income are dependent.
Tabulated Statistics: Worksheet rows, Worksheet columns
Rows: Worksheet rows Columns: Worksheet columns
less than 50000 more than 49999 All
1 frequency 187 83 270
expected value 138.70 131.30
(fi-ei)^2 / ei 16.821 17.768
2 frequency 71 125 196
expected value 100.68 95.32
(fi-ei)^2 / ei 8.752 9.245
3 frequency 42 76 118
expected value 60.62 57.38
(fi-ei)^2 / ei 5.717 6.040
All 300 284 584
Cell Contents: Count
Expected count
Contribution to Chi-square
Pearson Chi-Square = 64.343, DF = 2, P-Value = 0.000
P-Value = 0.000 <alpha = 0.05
Reject H0 Gas preference and income are dependent.
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