The management at Fitness Fanatics Gym & Health Club has recently proposed four new levels of memberships: bronze, silver, gold and platinum. They surveyed current members in order to anticipate have they might respond to this change in membership plans. The results indicating their preferred level of membership were as follows:Bronze: 60 Silver: 40
Gold: 80
Platinum: 120

The management had previously anticipated that the Bronze and Silver membership levels would each attract half as many members as the Gold and Platinum membership levels. At the 1% level of significance, test the claim that the preferences for membership levels adhered to the anticipated breakdown as the management had initially conjectured.

Compute the entire portion of the test statistic generated by the Bronze column, Silver column, Gold column, and Platinum column.