<prompt> Please answer with one of the option in the bracket. Write reasoning in between . Write answer in between .Q:You are trying to design a randomized controlled trial to evaluate the effectiveness of metoprolol in patients with heart failure. In preparing for the statistical analysis, you review some common types of statistical errors. Which of the following is true regarding a type 1 error in a clinical study?? A: A type 1 error means the study is not significantly powered to detect a true difference between study groups., B: A type 1 error occurs when the null hypothesis is true but is rejected in error., C: A type 1 error occurs when the null hypothesis is false, yet is accepted in error., D: A type 1 error is a beta β error and is usually 0.1 or 0.2., E: A type 1 error is dependent on the confidence interval of a study.,  <response>: This is a question asking about understanding type 1 error in statistical analysis of clinical trials. It provides a clinical scenario of designing a randomized controlled trial to test the effectiveness of a drug, metoprolol, in heart failure patients. The question then asks about identifying which statement correctly describes a type 1 error from the choices provided. To answer this, we need to understand what a type 1 error is in hypothesis testing. A type 1 error occurs when the null hypothesis is incorrectly rejected - that is, concluding there is a difference when in truth there is no difference. B: A type 1 error occurs when the null hypothesis is true but is rejected in error. 