A pharmaceutical company is doing research on a new cholesterol-lowering medication. They are investigating the side effects of this new medication and want to determine whether the medication will decrease a patient's systolic blood pressure level. If so, then a warning will have to be given not to prescribe the new medication to patients whose blood pressure is already low.

To test their claim, the researchers take a random sample of patients who are currently taking the new medication and record their systolic blood pressure levels. The researchers want to determine if the sample data provide evidence that the true mean systolic blood pressure level for the patients taking the new medication is lower than the national average of 122 mmHg.

1-State the null and alternative hypothesis that the pharmaceutical researchers are testing

2-Describe a Type I error in this medication study and explain the consequences of making a Type I error.

3-Describe a Type II error in this medication study and explain the consequences of making a Type II error.

4-Which type of error would be more severe in this medication study? Based on this, what level of significance should the researchers use for this study?