In assessing the weather prior to leaving our residences on a spring morning, we make an informal test of hypothesis "The weather will be fair today." Using the "best" information available to us, we complete the test and dress accordingly
What is the null hypothesis and what are the type 1 and type 2 errors
Null hypothesis, H0: The weather will be fair today.
Type I error: Suppose using the best information available to us, we test it and if p value comes less than the significance level then we reject the null hypotheses and conclude that the weather will not be fair today. But actually weather remain fair that day. So we have rejected true null hypotheses. This is type I error.
Type II error: Suppose using the best information available to us, we test it and if p value comes greater than the significance level then we failed to reject null hypothesis and conclude that weather will be fair today. But eventually weather gets worse and weather is not fair that day. So at morning we made an error that is accepting a false null hypotheses. It is type II error.
In assessing the weather prior to leaving our residences on a spring morning, we make an informal test of the null hypothesis "The weather will be fair today." Using the "best" information available to us, we complete the test and dress accordingly. What would be the consequences of a Type I and Type II error?
In assessing the weather prior to leaving our residences on a spring morning, we make an...
ESAND ABUSES 1 Uses Hypothesis Testing Hypothesis testing is important in many different fields because it gives a scientific procedure for assessing the validity of a claim about a population. Some of the concepts in hypothesis testing are intuitive, but some are not. For instance, the American Journal of Clinical Nutrition suggests that eating dark chocolate can help prevent heart disease. A random sample of healthy volunteers were assigned to eat 3.5 ounces of dark chocolate each day for 15...
Errors (a) In hypothesis testing, we generally want the lowest possible false positive rate, which is controlled by our a parameter. The false positive rate (type I error rate) can be stongly reduced by setting a to a very small decimal. Explain why this is not advisable. (b) Imagine I had a set of 1000 samples (not observations) of data drawn from a specific non-normal distribution p(x), and I perform a Shapiro-Wilk test on each sample, rejecting my null 640...
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Name: Section Number To be graded assignments must be completed and submitted on the original book page Hypothesis Testing -As a Diagnostic Test ? Answer the following questions over the content material you just read or watched. 1. What is a false positive rate in the context of hypothesis testing? 2. What is the goal of hypothesis testing? 3. What is a Type I error, and how is it related to an "alpha level?" 4. What does it mean to...
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