O A. The chance of committing a Type I error changes from 0.10 to 0.05. O B. The chance of committing a Type Il error changes from 0.10 to 0.05. O C. The test becomes less stringent to reject the null hypothesis (i.e. it becomes easier to reject the null hypothesis). O D. The chance that the null hypothesis is true changes from 0.10 to 0.05. O E. It becomes harder to prove that the null hypothesis is true. O F. The test becomes more stringent to reject the null hypothesis (i.e., it becomes harder to reject the null hypothesis). O G. It becomes easier to prove that the null hypothesis is true.

O A. The chance of committing a Type I error changes from 0.10 to 0.05. O B. The chance of committing a Type Il error changes from 0.10 to 0.05. O C. The test becomes less stringent to reject the null hypothesis (i.e. it becomes easier to reject the null hypothesis). O D. The chance that the null hypothesis is true changes from 0.10 to 0.05. O E. It becomes harder to prove that the null hypothesis is true. O F. The test becomes more stringent to reject the null hypothesis (i.e., it becomes harder to reject the null hypothesis). O G. It becomes easier to prove that the null hypothesis is true.

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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Which of the following relates to the rejection of the null hypothesis when it is actually false? 1. Type I error 2. Type II error 3. Power 4. Statistical significance
A type Il error A. arises when the false null hypothesis is not rejected. O B. is the rejection of a false null hypothesis. C. arises when the true null hypothesis is not rejected. D. is the rejection of a true null hypothesis.
2
Test the claim that the mean GPA of night students is smaller than 2.2 at the 0.025 significance level. The null and alternative hypothesis would be: Ho: 2.2 Ho:p ≤ 0.55 Ho:p≥ 0.55 Ho:p = 0.55 Ho:μ = 2.2 Ho:μ ≤ 2.2 H₁: 0.55 H₁:p 2.2 The test is: two-tailed left-tailed right-tailed Based on a sample of 35 people, the sample mean GPA was 2.15 with a standard deviation of 0.04 The p-value is: Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis (to 2 decimals)
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Fill in the blanks with either small or large. A) You are more likely to reject the null hypothesis when the effect size is _____. B) You are more likely to reject the null hypothesis when the standard deviation is _____. C) You are more likely to reject the null hypothesis when the standard error is _______.
A researcher expects a treatment to produce an increase in the population mean. The treatment is evaluated using a one tailed hypothesis test, and the test produces z = -1.85. Based on this result, what is the correct statistical decision? O The researcher should reject the null hypothesis with either a = .05 or α = .01. O The researcher should reject the null hypothesis with a = .05 but not with α = .01. O cannot answer without additional information O The researcher should fail to reject Ho with either a = .05 or α = .01.
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.
Given the Data: Seconds Frequency 66-70 4 61-65 8 56-60 7 51-55 2 Compute for the: a) Standard Deviation b) Variance c) Range
Test the claim that the proportion of men who own cats is larger than 20% at the .05 significance level. The null and alternative hypothesis would be: 0.2 Но:р — 0.2 Но: и 0.2 Ho:H Ho:H H:р + 0.2 Н]:р 0.2 Hi:р > 0.2 Hi:р#0.2 0.2 Но:р || The test is: left-tailed two-tailed right-tailed Based on a sample of 25 people, 25% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
It has been reported in the past that the probability that an individual will develop schizophrenia over their lifetime is 0.004. A researcher believes that this proportion has increases since then. She found out that in a random sample of 2500 individuals, 16 developed schizophrenia. Is there evidence to support the claim that the true proportion of people who will develop schizophrenia is greater 0.004? Use hypothesis testing at a = 0.10 level of significance to answer this question. a. State the null and alternative hypotheses. b. What is the probability model (underlying distribution of the sample proportion p)? c. Compute p. d. Compute the test statistic. e. Find the P-value. f. Make the decision whether to reject Ho or not. g. State a conclusion answering the question above. 1