A Sporis is a For fitness lovers of all ages Offering a range of sports To cater to all stages. The manager got curious one day Does age affect the choice of sport they play? He collected the data on all the 800 members To create a chart by age, And to conduct a test of independence It can take many a page! With a 95% confidence level, provide him with a solution To his quandary about the age-sports relation! Observed Frequencies Sport 18-25 26-30 31-40 41+ racquetball tennis 52 55 36 27 65 63 38 45 swimming padminton HINT: This is a Chi-squared test of independence. 70 60 54 47 44 52 52 40 Fill in the following blanks: 1. a. The value of the test-statistic is 1. b. The critical value of the Chi-squared is 1. c. We can reject the Ho at alpha = 0.05. Answer "True" or "False":

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## Age-Sports Relation Analysis in a Sports Club

A Sports Club is a haven  
For fitness lovers of all ages  
Offering a range of sports  
To cater to all stages.  

The manager got curious one day  
Does age affect the choice of sport they play?  
He collected the data on all the 800 members  
To create a chart by age,  
And to conduct a test of independence  
It can take many a page!  

With a 95% confidence level, provide him with a solution  
To his quandary about the age-sports relation!

### Observed Frequencies

| Sport      | 18-25 | 26-30 | 31-40 | 41+  |
|------------|-------|-------|-------|------|
| Racquetball| 52    | 55    | 36    | 27   |
| Tennis     | 65    | 63    | 38    | 45   |
| Swimming   | 70    | 60    | 54    | 47   |
| Badminton  | 44    | 52    | 52    | 40   |

**Hint:** This is a Chi-squared test of independence.

#### Fill in the following blanks:

1. a. The value of the test-statistic is: **[Text Box]**

1. b. The critical value of the Chi-squared is: **[Text Box]**

1. c. We can reject the Ho at alpha = 0.05. Answer "True" or "False": **[Text Box]**
Transcribed Image Text:## Age-Sports Relation Analysis in a Sports Club A Sports Club is a haven For fitness lovers of all ages Offering a range of sports To cater to all stages. The manager got curious one day Does age affect the choice of sport they play? He collected the data on all the 800 members To create a chart by age, And to conduct a test of independence It can take many a page! With a 95% confidence level, provide him with a solution To his quandary about the age-sports relation! ### Observed Frequencies | Sport | 18-25 | 26-30 | 31-40 | 41+ | |------------|-------|-------|-------|------| | Racquetball| 52 | 55 | 36 | 27 | | Tennis | 65 | 63 | 38 | 45 | | Swimming | 70 | 60 | 54 | 47 | | Badminton | 44 | 52 | 52 | 40 | **Hint:** This is a Chi-squared test of independence. #### Fill in the following blanks: 1. a. The value of the test-statistic is: **[Text Box]** 1. b. The critical value of the Chi-squared is: **[Text Box]** 1. c. We can reject the Ho at alpha = 0.05. Answer "True" or "False": **[Text Box]**
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