The management of a company know that in the past, 38% of their sales were from people under 30 years old, 45% of their sales were from people who are between 30 and 50 years old, and 17% of their sales were from people who are over 50 years old. A sample of 225 customers was taken to see if these market shares had changed. In the sample, 75 people were under 30 years old, 100 people were between 30 and 50 years old, and 50 people were over 50 years old.

What is the expected counts under the null for people over 50 years old? (round to 2 decimals)

The value of the test statistic ² is: (round to 4 decimals)

Thep-value is: (round to 4 decimals)

The conclusion is: