how to write null hypothesis for goodness of fit

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1. SOLVED: how would you write this hypothesis with symbols? Hypotheses: The null hypothesis in a

   

2. Null hypothesis for a chi-square goodness of fit test

   

3. Null hypothesis for a chi-square goodness of fit test

   

4. Null hypothesis for a chi-square goodness of fit test

   

5. Null hypothesis for a chi-square goodness of fit test

   

6. Null hypothesis for a chi-square goodness of fit test