For each of these questions I have to write the correct notation for null and alternative hypothesis?
- Are there significant differences in average ages of Daily Express readers across different favourite sections of the paper? My solution : ) Ho: μ ≤ There is no significant difference in average ages of daily express readers across different favourite sections of the paper. Ha: μ > There is significant difference in average ages of daily express readers across different favourite sections of the paper. Is this correct?
Are there significant differences in average annual incomes of Daily Express readers across different favourite sections of the paper? My solution Ho: μ ≤ There is no significant difference in average annual incomes of daily express readers across different favourite sections of the paper. Ha: μ > There is significant difference in average annual incomes of daily express readers across different favourite sections of the paper. Is this correct?
Are there significant differences in the average years of education of Daily Express readers when classified by where they reside; city, town or rural? My solution Ho: μ ≤ There is no significant difference in average years of education of Daily Express readers when classified by where they reside; city, town or rural? Ha: μ > There is significant difference in average years of education of Daily Express readers when classified by where they reside; city, town or rural? Is this correct?
None of these look correct to me. I would say you are comparing the means across several groups in each case, so I would write for #1 (where $\mu_{S_k}$ is the average age of readers with favorite section $S_k$)
$$H_0 : \mu_{S_1}=\mu_{S_2}=\cdots =\mu_{S_n}$$ $$H_A : \mu_{S_i}\neq\mu_{S_j}\textrm{ for at least one pair } i\neq j$$ and similarly for the other questions.