Solve the following problems and answer the following questions, based upon the following context, recording your responses here in this online test feature. Using appropriate technology is expected....

Solve the following problems and answer the following questions, based upon the following context, recording your responses here in this online test feature.  Using appropriate technology is expected.  Pay careful attention to requested levels of precision when reporting answers.

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:

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.