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.

1. : Report how many total members wereexpectedfrom such a survey.[COMMENTS & HINTS:Record the response as a counting number answer.]
2. Compute the entire portion of the test statistic generated by theBronzecolumn.
3. Compute thetotalvalue of the appropriate test statistic.
4. Compute the correspondingcritical value, rounded to the nearest hundredth if necessary:#.##or##.##
5. Determine the corresponding p-value associated with the test statistic, expressing the answer in decimal form to four decimal places, rounding if appropriate:0.####