True or False? The less Type I error you are willing to accept the less likely you are to makea Type Il error.TrueFalseQuestion 3An alpha level of 0.05 implies that the researcher:O is willing to live with a 5% chance that he/she will conclude that there is a difference when therereally isn'tO This is just the accepted alpha level, it has no significance.O is willing to live with a 95% chance that he/she will conclude that there is a difference when therereally isn'tO is willing to live with a 5% chance that he/she will conclude that there isn't a difference whenthere really isis willing to live with a 5% chance that the differences are duc to hypothesized reason, not due tochance

Significance level = 0.05 Means that there is a 5% probability that sample data values collected…

Answered: True or False? The less Type l error…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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18
A researcher test a hypothesis find that p value equal to .2. Explain why the researcher cannot claim that the probability that the H subscript 0 is true is .2? You choose an alpha level of .01 and then analyze your data. What is the probability that you will make a Type I error given that the null hypothesis is true? What is the probability that you will make a Type I error given that the null hypothesis is false?
1. Calculate r2 2. Interpret r2 in the context of this research. How large is this effect (small, medium, large)? 3. Make an statistical decision about the null using alpha =.05. Will you reject or retain the null based on your data? 4. Provide a conclusion of the data using Descriptive statistics and the context of the research.
Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.01 significance level.The alternative hypothesis would be: μ<0.8μ<0.8 p>0.8p>0.8 μ>0.8μ>0.8 μ≠0.8μ≠0.8 p<0.8p<0.8 p≠0.8p≠0.8 The test is: right-tailed two-tailed left-tailed Based on a sample of 400 people, 71% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis The conclusion is: At the 0.01 alpha level, I was unable to show that the proportion of people who own cats is significantly greater than 80 percent. At the 0.01 alpha level, I was unable to show that the proportion of people who own cats is significantly different than 80 percent. At the 0.01 alpha level, I was able to show that the proportion of people who own cats is significantly greater than 80 percent. At the 0.01 alpha level, I was able to show that the proportion of people…
Which of the following statements is true regarding the influence of a small alpha level in the context of hypothesis testing? a. A small alpha level reduces the likelihood of a Type I error. b. A small alpha level reduces the effect size. c. A small alpha level increases statistical power. d. A small alpha level increases the likelihood of detecting statistical significance.
You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.85. You use a significance level of α=0.002α=0.002. H0:p=0.85H0:p=0.85 H1:p≠0.85H1:p≠0.85You obtain a sample of size n=415n=415 in which there are 361 successes.What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
Looking at youth depression scores from a general sample of random children in the US, we want to determine if our sample is significantly different than the national average of scores of children with depression in the US. The national average of scores on a measure of depression is 5 points. We have no reason to assume it will be higher or lower than the US national average. The sample: 11 9 12 3 3 4 13 1. What is the null and alternative hypotheses? Do not specify any directionality. 2. What did you discover (using 95% Cl)? Provide an interpretation.
Data from the Department of Motor Vehicles indicate that 80% of all licensed drivers are older than age 25. In a sample of n = 50 people who recently received speeding tickets, 33 were older than age 25 and the other 17 were age 25 or younger. Is the age distribution for this sample significantly different from the distribution for the population of licensed drivers? Use alpha = .05. In a sample of n = 50 people who recently received parking tickets, 36 were older than age 25 and the other 14 were age 25 or younger. Is the age distribution for this sample significantly different from the distribution for the population of licensed drivers? Use alpha = .05.
You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.34. You use a significance level of α=0.005α=0.005. H0:p=0.34H0:p=0.34 H1:p≠0.34H1:p≠0.34You obtain a sample of size n=551n=551 in which there are 164 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
Verdadero=true falso=false
Scenario: I'm interested in whether there is a relationship between Team (A vs. B) and Outcome (Good vs. Bad). Below are the data. Test the null hypothesis that the categories are independent. α= .05. Team A Team B Good Outcome fo = 75 fe = fo = 45 fe = Bad Outcome fo = 25 fe = fo = 5 fe = The expected frequency, fe , for the Team A X Good Outcome category = _____
You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.27. You use a significance level of α=0.001. H0:p=0.27H0:p=0.27 H1:p≠0.27H1:p≠0.27You obtain a sample of size n=406n=406 in which there are 97 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is different from 0.27. There is not sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a…

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