Directions: Solve the following problems and answer the following questions. 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

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Directions: Solve the following problems and answer the following questions. 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:

Bronze

Silver

Gold

Platinum

60

40

80

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.

 

**Question 14**

**#14:** Compute the corresponding critical value, rounded to the nearest hundredth if necessary: #.## or ##.##

---

**Question 15**

**#15:** Determine the corresponding p-value associated with the test statistic, expressing the answer in decimal form to four decimal places, rounding if appropriate: 0.####

---

**Question 16**

**#16:** What is the technical conclusion to this test?

- **a.** response (a): Marginally fail to reject the null hypothesis, based on the available evidence and testing at the 5% level of significance.
- **b.** response (b): Marginally fail to reject the null hypothesis, based on the available evidence and testing at the 1% level of significance.
- **c.** response (c): Fail to reject the null hypothesis, based on the available evidence and testing at the 5% level of significance.
- **d.** response (d): Fail to reject the null hypothesis, based on the available evidence and testing at the 1% level of significance.
- **e.** response (e): Marginally reject the null hypothesis, based on the available evidence and testing at the 5% level of significance.
- **f.** response (f): Marginally reject the null hypothesis, based on the available evidence and testing at the 1% level of significance.
- **g.** response (g): Reject the null hypothesis, based on the available evidence and testing at the 5% level of significance.
- **h.** response (h): Reject the null hypothesis, based on the available evidence and testing at the 1% level of significance.

---

**Question 17**

**#17:** What is the contextual conclusion to this test?

- **a.** response (a): It is reasonable to claim that current gym members support the proposed new membership plans in proportions presumed by the gym management, based on the available evidence and testing at the 5% level of significance.
- **b.** response (b): It is reasonable to claim that current gym members support the proposed new membership plans in proportions presumed by the gym management, based on the available evidence and testing at the 1% level of significance.
- **c.** response (c): It is marginally reasonable to claim that current gym members support the proposed new membership plans in proportions presumed by the gym management,
Transcribed Image Text:**Question 14** **#14:** Compute the corresponding critical value, rounded to the nearest hundredth if necessary: #.## or ##.## --- **Question 15** **#15:** Determine the corresponding p-value associated with the test statistic, expressing the answer in decimal form to four decimal places, rounding if appropriate: 0.#### --- **Question 16** **#16:** What is the technical conclusion to this test? - **a.** response (a): Marginally fail to reject the null hypothesis, based on the available evidence and testing at the 5% level of significance. - **b.** response (b): Marginally fail to reject the null hypothesis, based on the available evidence and testing at the 1% level of significance. - **c.** response (c): Fail to reject the null hypothesis, based on the available evidence and testing at the 5% level of significance. - **d.** response (d): Fail to reject the null hypothesis, based on the available evidence and testing at the 1% level of significance. - **e.** response (e): Marginally reject the null hypothesis, based on the available evidence and testing at the 5% level of significance. - **f.** response (f): Marginally reject the null hypothesis, based on the available evidence and testing at the 1% level of significance. - **g.** response (g): Reject the null hypothesis, based on the available evidence and testing at the 5% level of significance. - **h.** response (h): Reject the null hypothesis, based on the available evidence and testing at the 1% level of significance. --- **Question 17** **#17:** What is the contextual conclusion to this test? - **a.** response (a): It is reasonable to claim that current gym members support the proposed new membership plans in proportions presumed by the gym management, based on the available evidence and testing at the 5% level of significance. - **b.** response (b): It is reasonable to claim that current gym members support the proposed new membership plans in proportions presumed by the gym management, based on the available evidence and testing at the 1% level of significance. - **c.** response (c): It is marginally reasonable to claim that current gym members support the proposed new membership plans in proportions presumed by the gym management,
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