Snoop Incorporated is a firm that does market surveys. The Rollum Sound Company hired Snoop to study the age distribution of people who stream music. To check the Snoop report, Rollum used a random sample of 519 customers and obtained the following data.

customer Age (yrs) Percent of Customers from Snoop Report. Number of Customers from Sample

less than 14 12% 97

14-18 29% 136

29-23 11% 46

24-28 10% 42

29-33 14% 69

more than 33 24% 129

Using a 1% level of significance, test the claim that the distribution of customer ages in the Snoop report agrees with that of the sample report.

Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)