Identify the two types of incorrect decisions in a hypothesis test. For each incorrect decision, what symbol is used torepresent the probability of making that type of error?Choose the correct answer below.OA. A Type I error is rejecting a true null hypothesis, whose probability is denoted a.A Type II error is not rejecting a false null hypothesis, whose probability is denoted B.OB. A Type I error is accepting a false null hypothesis, whose probability is denoted α.A Type II error is not accepting a true null hypothesis, whose probability is denoted ß.OC. A Type I error is not accepting a true null hypothesis, whose probability is denoted a.A Type II error is accepting a false null hypothesis, whose probability is denoted B.O D. A Type I error is not rejecting a false null hypothesis, whose probability is denoted a.A Type II error is rejecting a true null hypothesis, whose probability is denoted ß.Time Remaining: 01:55:40Next

Option B is incorrect because a Type I error is rejecting a true null hypothesis, not accepting a…

Answered: Identify the two types of incorrect…

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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Some people claim that they can tell the difference between a diet soda and a regular soda in the first sip. A researcher wanting to test this claim randomly sampled 84 such people. She filled 84 plain white cups with soda, half diet and half regular through random assignment, and asked each person to take one sip from their cup and identify the soda as diet or regular. 51 participants correctly identified the soda. Conduct and interpret a hypothesis test for the following question: are these people any better or worse at telling the difference between diet and regular soda than random guessing (correctly identify soda half of the time)? HINT: what is your hypothesized proportion if you want to test if these participants are right or not half of the time? Use a = .01 significance level. Solve Critical value:
12
In answering a question on a multiple-choice test, a student either knows the answer or she guesses. Let p be the probability that she knows the answer and 1-p the probability that she gucsses. Assumc that a studcnt who gucsscs at the answer will be correct with probability 1/m, where mis the number of multiple-choice alternatives. What is the conditional probability that a student knew the answer to a question given that she answered it correctly?
2.) A packaging company advertises that their product weighs on average 16 oz. You feel the box is much lighter than this, so you run a hypothesis test. a.) State the hypotheses. b.) What would be a type l error in this situation? c.) How could you decrease your chance of making a type I error? d.) What would be a type II error in this situation?
The power of a test is the probability that it will a) reject a true null hypothesis. b) reject a false null hypothesis. c) fail to reject a true null hypothesis. d) fail to reject a false null hypothesis.
A baseball team claims that the mean length of its games is 2.8 hours. State Ho and H, in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols. Choose the correct answer below. O A. The null hypothesis expressed in words is, "the mean length of a baseball team's games is 2.8 hours." The null hypothesis is expressed symbolically as, "Ho: u= 2.8." O B. The null hypothesis expressed in words is, "the mean length of a baseball team's games is at least 2.8 hours." The null hypothesis is expressed symbolically as, "Ho: u22.8." OC. The null hypothesis expressed in words is, "the mean length of a baseball team's games is at most 2.8 hours." The null hypothesis is expressed symbolically as, "Ho: uS2.8." O D. The null hypothesis expressed in words is, "the mean length of a baseball team's games is more than 2.8 hours." The null hypothesis is expressed…
The probability that a student knows the correct answer to a multiple choice question is 2/3. If the student does not know the answer, then the student guesses the answer. The probability of the guessed answer being correct is 1/4.Given that the student has answered the question correctly, the conditional probability that the student knows the correct answer is 8/9 3/4 2/3 5/6
Which set of numbers would correspond to a hypothesis test with the greatest power? Cohen's d = 0.6 & n = 500 O Cohen's d = 0.6 & n = 50 O Cohen's d = 0.5 & n = 50 O Cohen's d = 0.5 & n = 500
Which of the following correctly describes the meaning of the p-value? a. The p-value is the probability the alternative hypothesis is true. b. The p-value is the probability the null hypothesis is true. c. The p-value is the probability we would get results like our sample (or something more extreme), given the null hypothesis is true. d. The p-value is the probability the null hypothesis is true, given our sample. e. The p-value is the probability the alternative hypothesis is true, given our sample.
Perform an appropriate hypothesis test to answer the above research question. What is the Null Hypothesis H0. Ho:
This type of error in hypothesis testing is also known as a “false positive” result.A. Type IB. Type AC. Type IID. Type B
The null hypothesis in the test for goodness of fit is that a. the data fit the expected frequencies. b. the data do not fit the expected frequencies. c. the variables are independent. d. the variables are dependent.

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