If you run an experiment where a = 0.05 and ß = 0.18,a) What is the probability that you would reject the null and be correct to do so?b) What is the probability that you will not detect an effect even though it does exist?For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).BIUS Paragraphv Arial≡≡≡≡ EE X² X₂v 10pt>¶ ¶<|||T+1!!!>

Type I error: The type I error occurs when rejecting the null hypothesis when it is true. Type II…

Answered: If you run an experiment where a = 0.05…

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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could you please help me solve for the chi squared statistic, corresponding p value, and the bottom two questions about the null hypothesis?
If the probability is below 0.01, the data provide strong evidence that the null hypothesis is false. show how?
In a recent survey, 70% of management executives thought that it should be mandatory for business students to take a course in Quantitative methods. Fora random sample of 5 human resource directors, what is the probability that at least two of them think that it should not be mandatory for business students to take a quantitative methods course?
It has recently been claimed that 25% of adults consider spring to be their favorite season of the year. A researcher is skeptical of this claim and believes this percentage is too low. She surveys a random of 1,000 adults and finds that 390 of these adults consider spring to be their favorite season of the year. As she prepares to conduct a hypothesis test, the researcher writes out her alternative hypothesis as “p < 0.25.” What is wrong with this? The alternative hypothesis should be “p > 0.39.” The alternative hypothesis should be “p < 0.39.” The alternative hypothesis should be “p > 0.25.” The alternative hypothesis should be “p = 0.25.” Nothing is wrong with the given alternative hypothesis.
If you play roulettes and bet on 'red' the probability that you win is 18/38 = .4737. People often repeat this between several times. We can consider each time we play a 'trial' and consider it a success when we win, so p = 18/38 or (.4737) and q = 20/38 or (.5263). Suppose that Caryl always places the same bet when she plays roulette, $5 on 'red'. Caryl might play just once, or might play several times. She has a profit (having won $5 more times than she lost $5) if she wins more than half of the games she plays. -when you play 401 times, p is the proportion of those 401 games that you win. You'll profit (winning more than you lose) if you win more than half of your bets p > .5000. c) what is the mean or expected value of p? d) what is the standard deviation of p? e) assume that the distribution of p is Normal and find the probability that Caryl will have a profit if she plays 401 times. show your work or calculator input and round your answer to four decimal places
A new medical test has been designed to detect the presence of a certain disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.74. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.04. It is estimated that 14 % of the population who take this test have the disease.If the test administered to an individual is positive, what is the probability that the person actually has the disease?
An educational psychologist studies the effect of frequent testing on retention of class material. In one of the professor's sections, students are given quizzes each week. The second section receives only two tests during the semester. At the end of the semester, both sections receive the same final exam, and the scores are summarized below. Do the data indicate that testing frequency has a significant effect on performance? Use a two-tailed test with α = .01. Include the null hypothesis in symbols, critical region(s), and a conclusion about significance. Compute r2 and state the size of the effect (e.g. small, medium, large). Frequent Quizzes Two Exams n = 15 n = 15 M = 72 SS= 112 M = 68 SS= 98
In a recent Super Bowl, a TV network predicted that 23 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 137 people who saw the commercials and found that 36 of them said they would watch one of the television shows.Suppose you are have the following null and alternative hypotheses for a test you are running:H0:p=0.23Ha:p<0.23Calculate the test statistic, rounded to 3 decimal places z=
A researcher sets his decision criteria at p = .01. That is, she decides that she will reject the null hypothesis if the z – value she obtains has a probability of .01 or less. What is this researcher’s probability of making Type I error?
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You are hiking through the woods, and come across some tracks; based on your expe- rience, you estimate there is a 40% chance the tracks are from a dog, a 30% chance the tracks are from a wolf, a 20% chance the tracks are from a coyote, and a 10% chance the tracks are from some other animal. Your friend, also a nature lover, notices some white hairs in the tracks. They know that 20% of dogs have white hair, 50% of wolves have white hair, 10% of coyotes have white hair, and 30% of other animals in the area have white hair. What are the odds of these tracks coming from a dog, wolf, coyote, or other animal?
QUESTION 2 You conduct a study to understand whether happy people are more likely to exercise than sad people. In your sample of happy people. 25 chose to exercise and 10 chose to take a nap. In your sample of sad people, 5 chose to exercise and 35 chose to take a nap. (1) What is the null hypothesis? a. There is a difference in rates of exercise among happy and sad people. b. There is an association in rates of exercise among happy and sad people. c. There is not a difference in rates of exercise among happy and sad people. d. There is not an association in rates of happiness among those who exercise and those who nap. (2) What is the expected frequency for happy people who exercise? (3) What is the expected frequency for sad people who exercise? (4) What is the expected frequency for happy people who nap? (5) What is the expected frequency for sad people who nap? (6) What is your chi-square value? (7) How many degrees of freedom are there? (8) Assuming alpha is equal to .05, what is…

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If you run an experiment where a = 0.05 and 3 = 0.18, a) What is the probability that you would reject the null and be correct to do so? b) What is the probability that you will not detect an effect even though it does exist?