The logic behind a statistical test of hypothesis is similar to the following logic. Draw two lines on a paper and determine whether they are of different lengths. You compare them and say,"Well, certainly they are not equal. Therefore they must be of different lengths. By rejecting equality, that is, the null hypothesis, you assert that there is a difference

The logic behind a statistical test of hypothesis is similar to the following logic. Draw two lines on a paper and determine whether they are of different lengths. You compare them and say,"Well, certainly they are not equal. Therefore they must be of different lengths. By rejecting equality, that is, the null hypothesis, you assert that there is a difference

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 39E: The following problem submitted by Daniel Hahn of Blairstown, Iowa, appeared in the Ask Marilyn...

See similar textbooks

Similar questions

The following problem submitted by Daniel Hahn of Blairstown, Iowa, appeared in the Ask Marilyn column of Parade magazine. Source: Parade magazine. You discover two booths at a carnival. Each is tended by an honest man with a pair of covered coin shakers. In each shaker is a single coin, and you are allowed to bet upon the chance that both coins in that booths shakers are heads after the man in the booth shakes them, does an inspection, and can tell you that at least one of the shakers contains a head. The difference is that the man in the first booth always looks inside both of his shakers, whereas the man in the second booth looks inside only one of the shakers. Where will you stand the best chance?
Explain the meaning of each of the following in the context of hypothesis testing. a. α b. β c. 1 − β
The logic behind a statistical test of hypothesis is similar to the following logic. Draw two lines on a paper and determine whether they are of different lengths. You compare them and say,"Well, certainly they are not equal. Therefore they must be of different lengths. By rejecting equality, that is, the null hypothesis, you assert that there is a difference What is an alternate hypothesis, H1? Describe its purpose and its relationship to the null hypothesis?
Which of the following is a true statement about hypothesis testing? You conduct hypothesis testing to prove your null hypothesis You conduct hypothesis testing to prove your alternative hypothesis You conduct hypothesis testing to eliminate the effect of chance on your solution You conduct hypothesis testing to test the significance of a proposed relationship between variables.
Which of the following statements are TRUE? I. Increasing the significance level of a test will increase the chance of erroneously rejecting a true null hypothesis. II. Increasing the significance level of a test will increase the chance of erroneously failing to reject a false null hypothesis. Only statement I is true. Neither statement is true. Only statement II is true. Both statements are true.
How do you write a null hypothesis and an alternative hypothesis in words? This is the question: The survey question: On the average day, about how many hours do you personally watch television? Suppose that your reading of professional research on the topic leads to the hypothesis that, on average, adults in the US watch three hours of TV each day. I planned to use a two-sided alternative hypothesis. In symbol, my null hypothesis would be H0 : equal 3 and my alternative hypothesis would be Ha not equal 3
The state superintendent of schools consistently states that the average salary of all substitute teachers in every school district is at least $60 per day. So she samples eight school districts to help her test her claim. The daily salaries she found for the district where $60 $56 $60 $55 $70 $55 $60 $55 What statistical test should be performed? Should the test be one sided or two? Which conditions has to be satisfied for the test that we do not have to check for the test proportions Write two hypotheses for the problem Make a sketch of the distributions indicating the test statistic and P. Compute the appropriate statistical test and report the test statistics and associated p-values In the context of the problem, write a conclusion to the study and substantiate your conclusion using statistical arguments. Use an alpha level of 0.05 Find a 95% confidence interval for the true daily salary based on the data.
In most judicial systems, a defendant is innocent until proven guilty. An attorney defends the null hypothesis that his client, the defendant, is innocent. From the judge’s point of view, what are the implications of making the following types of errors? A Type I error A Type II error