7 A restaurant has asked Sylvia to conduct a \(\chi ^ { 2 }\) test for association between meal ordered and age of customer.
7
- State the hypotheses that Sylvia should use for her test.
7
- Sylvia correctly calculates her value of the test statistic to be 44.1
She uses a \(5 \%\) level of significance and the degrees of freedom for the test is 30
Sylvia accepts the null hypothesis.
Explain whether or not Sylvia was correct to accept the null hypothesis.
7 - State in context the correct conclusion to Sylvia's test.