For the following problem, state the most likely hypothesis and compute a Spearman correlation coefficient.
- For the following problem, state the most likely hypothesis and compute a Spearman correlation coefficient. Use an \(\alpha\) -Level of 0.05 (two-tailed). Perform the computations for the problem both by hand and using statistical software.
- Problem: An HMO administrator wants to examine the relationship of self-rated health to the number of physician visits made in 1 year. The self-rated health is rated on a scale of 1 to 5 , where 1= poor health and 5= excellent health; the number of physician visits made in the past year is shown in the table below:
- State the null and alternative hypotheses.
- Using \(\alpha=0.05\) (two-tailed) obtain the critical value for \(r\).
- Check to make sure that the data meet all of the necessary assumptions (include scatter plot).
- Perform the computations necessary to obtain a Spearman rank correlation coefficient.
- Determine statistical significance and clearly state a conclusion.
- Upload your statistical software results and provide a concise summary of the various output measures and conclusions of the test.
2. For the following problem, state the most likely hypothesis, complete the cross-tabulation table, compute the appropriate probabilities (i.e., marginal and conditional), and calculate the chi-square statistic by hand.
- Problem: A new type of steroid cream for the prevention of psoriasis flare-ups is being tested. The cross-tabulation table presents the relationship between the occurrence of flare-ups and use of the steroid cream. What is the relationship between the usage of the cream and the occurrence of flare-ups?
- State the null and alternative hypotheses.
- Using \(\alpha=0.05\) obtain the critical value for the chi-square statistic.
- Create a cross-tabulation table, obtain the relevant probabilities, and obtain the unadjusted odds ratio.
- Perform the computations necessary to obtain the chi-square statistic.
- Determine statistical significance and clearly state a conclusion.
Deliverable: Word Document
