Recent research commissioned by Vodafone suggests that older workers are the happiest employees (BBC News, July 21, 2008). The report documents that 70% of older workers in England feel fulfilled, compared with just 50% of younger workers. A demographer believes that an identical pattern does not exist in Asia. A survey of 120 older workers in Asia finds that 75 feel fulfilled. A similar survey finds that 58% of 210 younger workers feel fulfilled. (You may find it useful to reference the appropriate table: z table or t table)   At the 5% level of significance, test if older workers in Asia feel less fulfilled than their British counterparts.   a-1. Select the null and the alternative hypotheses.   multiple choice 1 H0: p = 0.70; HA: p ≠ 0.70 H0: p ≤ 0.70; HA: p > 0.70 H0: p ≥ 0.70; HA: p < 0.70     a-2. Calculate the sample proportion. (Round your answer to 3 decimal places.)           a-3. Calculate the value of test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)           a-4. Find the p-value.   multiple choice 2 p-value ≤ 0.01 0.01 < p-value ≤ 0.025 0.025 < p-value ≤ 0.05 0.05 0.10     a-5. What is the conclusion?   multiple choice 3 Older workers in Asia feel less fulfilled Older workers in Asia do not feel less fulfilled

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Recent research commissioned by Vodafone suggests that older workers are the happiest employees (BBC News, July 21, 2008). The report documents that 70% of older workers in England feel fulfilled, compared with just 50% of younger workers. A demographer believes that an identical pattern does not exist in Asia. A survey of 120 older workers in Asia finds that 75 feel fulfilled. A similar survey finds that 58% of 210 younger workers feel fulfilled. (You may find it useful to reference the appropriate table: z table or t table)

 

At the 5% level of significance, test if older workers in Asia feel less fulfilled than their British counterparts.

 

a-1. Select the null and the alternative hypotheses.

 

multiple choice 1

  • H0p = 0.70; HAp ≠ 0.70
  • H0p ≤ 0.70; HAp > 0.70
  • H0p ≥ 0.70; HAp < 0.70

 

 

a-2. Calculate the sample proportion. (Round your answer to 3 decimal places.)

 

 

 

 

 

a-3. Calculate the value of test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

 

 

 

 

 

a-4. Find the p-value.

 

multiple choice 2

  • p-value ≤ 0.01
  • 0.01 < p-value ≤ 0.025
  • 0.025 < p-value ≤ 0.05
  • 0.05 <p-value ≤ 0.10
  • p-value > 0.10

 

 

a-5. What is the conclusion?

 

multiple choice 3

  • Older workers in Asia feel less fulfilled
  • Older workers in Asia do not feel less fulfilled

 

 
At the 5% level of significance, test if younger workers in Asia feel more fulfilled than their British counterparts.

 

b-1. Select the null and the alternative hypotheses.

 

multiple choice 4

  • H0p = 0.50; HAp ≠ 0.50
  • H0p ≤ 0.50; HAp > 0.50
  • H0p ≥ 0.50; HAp < 0.50

 

 

b-2. Calculate the sample proportion. (Round your answer to 2 decimal places.)

 

 

 

 

 

b-3. Calculate the value of test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

 

 

 

 

 

b-4. Find the p-value.

 

multiple choice 5

  • p-value ≤ 0.01
  • 0.01 < p-value ≤ 0.025
  • 0.025 < p-value ≤ 0.05
  • 0.05 < p-value ≤ 0.10
  • p-value > 0.10

 

 

b-5. What is the conclusion?

 

multiple choice 6

  • Younger workers in Asia feel more fulfilled
  • Younger workers in Asia do not feel more fulfilled

 

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