What are Type I and Type II errors? Why do they happen? Can Type I and Type II errors happen even if we are using true random samples selected from the population(s) of interest? Can we know if a statistical error is happening while we are conducting a test of hypothesis? What is the likelihood we will make a Type I error if conduct a test of hypothesis and reject the null hypothesis as our conclusion?

What are Type I and Type II errors? Why do they happen? Can Type I and Type II errors happen even if we are using true random samples selected from the population(s) of interest? Can we know if a statistical error is happening while we are conducting a test of hypothesis? What is the likelihood we will make a Type I error if conduct a test of hypothesis and reject the null hypothesis as our conclusion?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Hypothesis Test is conjectured that the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is 0.62. Of interest is to test this claim versus the alternative that the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is less than 0.62. A simple random sample of 270 people who went trick-or-treating is selected, and 162 of them also had a pumpkin carved into a jack-o'-lantern at their home (and the other 108 did not). If appropriate, use this information to test if the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is less than 0.62 at the a = .10 level of significance. Which of the following provides both the correct null and the correct alternative hypothesis for this situation? НО: п = 0.62 Ha: π 0.62, Ha::n 0.58 Ha:: π < 0.62
When conducting a hypothesis test, what would it mean if the researcher obtains a negative test statistic? The sample is too small. It’s very unlikely the results would have occurred just by chance alone. The sample statistic is smaller than the claimed population parameter. A mistake was made in terms of calculating the test statistic. The sample statistic is larger than the claimed population parameter.
Q- You ............. .................drug?
Compare statistical testing with legal methods used in a U.S. court setting. Then discuss the following topics in class or consider the topics on your own. Please write a brief but complete essay in which you answer the following questions. (a) In a court setting, the person charged with a crime is initially considered to be innocent. The claim of innocence is maintained until the jury returns with a decision. Explain how the claim of innocence could be taken to be the null hypothesis. Do we assume that the null hypothesis is true throughout the testing procedure?What would the alternate hypothesis be in a court setting?(b) The court claims that a person is innocent if the evidence against the person is not adequate to find him or her guilty. This does not mean, however, that the court has necessarily proved the person to be innocent. It simply means that the evidence against the person was not adequate for the jury to find him or her guilty. How does this situation compare with a…
In a test of statistical hypotheses, the P-value tells us O the probability of observing a sample mean as we did or something more unusual if the null hypothesis is true. if the null hypothesis is true. if the alternative hypothesis is true. the largest level of significance at which the null hypothesis can be rejected.
If the p-value is very large (say close to 1), then it is likely that we will reject the null hypothesis. True False
I asked this question before, and got an answer, but I have a question about the response that was given. The original question was: For an initial investment of 100, an investment yields returns of X1 and X2, where X1 and X2 are independent normal random variables with mean 60 and variance 25. What is the probability that the rate of return of this investment is greater than 10%? In the answer that was given it says that the gain of the investment is X1+X2. My question is why can we just group those together as one amount? I was given a formula in my class that says the return on the investment would be the solution to the equation: -100+ X1/(1+r) + X2/(1+r)2=0. If this formula is used, a different solution would result for this problem.
(a) State the null and alternative hypotheses.Ho= Ha= (b) Give the notation for the sample statistic.statistic symbol-statistic symbol (c) Give the value for the sample statistic. Value=# Use the randomization distribution to estimate the p-value? p-value=#
The Department of Health plans to test the lead level in a specific park. Because a high lead level is harmful to children, the park will be closed if the lead level exceeds the allowed limit. The department randomly selects several locations in the park, gets soil samples from those locations, and tests the samples for their lead levels. Write the correct null hypothesis (H_O) for this problem. * Your answer Write the correct alternative hypothesis for this problem. * Your answer Which of the following decisions would result from the Type I error? * None of these Keeping the park open when the lead levels are in excess of the allowed limit. Closing the park when the lead levels are in excess of the allowed limit Closing the park because of the increased noise level in the neighborhood Keeping the park open when the lead levels are within the allowed limit
Suppose I conduct a study and, after analyzing the data, I end up sticking with the null hypothesis. Also suppose that, in truth, the research hypothesis is correct. In that case I've made what kind of error? O Type I (alpha) O Type Il (beta) O Type II (eta) A false alarm Both Type I and Type II