hi, need steps and answers pls. ### Age and Sport Preferences at a Fitness Club: An Exploratory AnalysisA Sports Club is a haven for fitness lovers of all ages, offering a range of sports to cater to all stages of life. A curious manager sought to understand whether age affects the choice of sport members prefer to play. To explore this, he conducted a survey among the club's 800 members. The manager then applied a Chi-square test of independence to determine the relationship between age and sport choice.The observations from the survey are tabulated below:#### Observed Frequencies| Sport | 18-25 | 26-30 | 31-40 | 41+ ||------------|-------|-------|-------|-----|| Racquetball| 52 | 55 | 36 | 36 || Tennis | 65 | 63 | 38 | 45 || Swimming | 70 | 60 | 54 | 47 || Badminton | 44 | 52 | 40 | 52 |The table above presents the number of individuals within each age group who favor each sport.### Analysis Requirements:The following questions will guide us in interpreting the results of the Chi-square test:a. The value of the test statistics is: [Input Needed]b. The critical value of the Chi-squared is: [Input Needed]c. We can reject the null hypothesis (Ho) at alpha = 0.05. True/False [Input Needed]### Explanation of the Chi-Square Test:The Chi-square test of independence is used to determine if there is a significant association between two categorical variables. In this scenario, the variables are the age groups and the sports preferences. The null hypothesis (Ho) states that there is no relationship between the age of the members and their sport preference. If the calculated Chi-square statistic exceeds the critical value from the Chi-square distribution table for a given degree of freedom, the null hypothesis can be rejected. This would imply that age has a significant effect on sport preference among club members.### Conclusion:By conducting this test with a 95% confidence level, we will determine whether the manager's curiosity has merit and if age indeed influences the choice of sport among the club members. Once we complete the calculations, we can conclude the statistical relationship between age and sport preferences.---In this scenario, data and analysis are

Name: hi, need steps and answers pls. ### Age and Sport Preferences at a Fit
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Description: hi, need steps and answers pls. ### Age and Sport Preferences at a Fitness Club: An Exploratory AnalysisA Sports Club is a haven for fitness lovers of all ages, offering a range of sports to cater to all stages of life. A curious manager sought to un

Hypotheses: Null hypothesis: Sports and age are independent. Alternative hypothesis: Sports and age…

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A Sports Club is a haven for fitness lovers of all ages offering a range of sports o 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 independencelt can take many a page! With a 95% confidence level, provide him with a solution to his quandary about the age-sports relation!

A Sports Club is a haven for fitness lovers of all ages offering a range of sports o 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 independencelt can take many a page! With a 95% confidence level, provide him with a solution to his quandary about the age-sports relation!

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hi,

need steps and answers pls.

### Age and Sport Preferences at a Fitness Club: An Exploratory Analysis

A Sports Club is a haven for fitness lovers of all ages, offering a range of sports to cater to all stages of life. A curious manager sought to understand whether age affects the choice of sport members prefer to play. To explore this, he conducted a survey among the club's 800 members. The manager then applied a Chi-square test of independence to determine the relationship between age and sport choice.

The observations from the survey are tabulated below:

#### Observed Frequencies

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

The table above presents the number of individuals within each age group who favor each sport.

### Analysis Requirements:

The following questions will guide us in interpreting the results of the Chi-square test:

a. The value of the test statistics is: [Input Needed]
b. The critical value of the Chi-squared is: [Input Needed]
c. We can reject the null hypothesis (Ho) at alpha = 0.05. True/False [Input Needed]

### Explanation of the Chi-Square Test:

The Chi-square test of independence is used to determine if there is a significant association between two categorical variables. In this scenario, the variables are the age groups and the sports preferences. The null hypothesis (Ho) states that there is no relationship between the age of the members and their sport preference. If the calculated Chi-square statistic exceeds the critical value from the Chi-square distribution table for a given degree of freedom, the null hypothesis can be rejected. This would imply that age has a significant effect on sport preference among club members.

### Conclusion:

By conducting this test with a 95% confidence level, we will determine whether the manager's curiosity has merit and if age indeed influences the choice of sport among the club members. Once we complete the calculations, we can conclude the statistical relationship between age and sport preferences.

---

In this scenario, data and analysis are

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