Which one of the following statements is incorrect:A. A type I error consists of rejecting the null hypothesis when it is trueB. A type II error consists of accepting the null hypothesis when it is falseC. You can control simultaneously both the Type I and Type II error probabilitieswhen the sample size is fixedD. Hypothesis testing and confidence intervals are related conceptsAсBD

From the given statements select the incorrect

Answered: Which one of the following statements…

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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Similar questions

What does it mean when sample results are statistically significant?
H0: =, >, <, or ≠ _______________ year (s). H1: =, >, <, or ≠ _________________ year (s). Since the P-value is less than or equal to, or more than or equal to the significance level, reject or do not reject the null hypothesis. There is or is not sufficient evidence to support the claim that actress are generally younger when they won the award than actors. Since the confidence interval contains only zero, positive number values, or only negative number values, reject or warrent rejection of the null hypothesis.
Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .025 significance level. The null and alternative hypothesis would be: Ho MMF Ho: PM = PF H₁: MMF O H₁: PM > PF O The test is: two-tailed right-tailed O The test statistic is: Based on a sample of 60 men, 25% owned cats Based on a sample of 40 women, 40% owned cats The p-value is: Ho: M = μF H₁: UM
Test the claim that the proportion of men who own cats is smaller than 90% at the 0.01 significance level. The null and alternative hypothesis would be: Ho: µ 0.9 Ho:p 0.9 Ho:µ = 0.9 Họ:p H1:µ > 0.9 H1:p 0.9 Hị: µ < 0.9 H1:µ + 0.9 H1:p# 0.9 0.9 The test is: two-tailed left-tailed right-tailed Based on a sample of 200 people, 87% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals)
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.
If we reject the null hypothesis, can we claim to have proved that the null hypothesis is false? Why or why not? Choose the correct answer below. O A. Yes, if the test conditions are satisfied and the p-value is smaller than the significance level, then the null hypothesis is proven to be false. B. Not necessarily, if the test conditions are satisfied and the p-value is appropriately small, the null hypothesis can only be proven false if the significance level is appropriately small. C. Not necessarily, if the test conditions are satisfied and the p-value is appropriately small, the null hypothesis can only be proven false if the power is appropriately large. O D. No; we don't use prove because we cannot be 100% sure of conclusions based on chance processes.
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)
Test the claim that the mean GPA of night students is larger than 3.1 at the 0.01 significance level. The null and alternative hypothesis would be: Но: р — 0.775 Но:р> 0.775 Но: и — 3.1 Но:р 3.1 Н:р+ 0.775 Hi:р 3.1 H]:p > 0.775 Hi:р < 3.1 The test is: right-tailed two-tailed left-tailed Based on a sample of 80 people, the sample mean GPA was 3.14 with a standard deviation of 0.07 The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
Test the claim that the mean GPA of night students is larger than 2 at the 0.10 significance level. The null and alternative hypothesis would be: Ho p= 0.5 Ho:p ≥ 0.5 Ho:p ≤ 0.5 H₁:p 0.5 H₁:p 0.5 The test is: right-tailed left-tailed two-tailed Based on a sample of 25 people, the sample mean GPA was 2.02 with a standard deviation of 0.07 The p-value is: Based on this we: Ho:μ = 2 Ho:μ ≥ 2 Ho: ≤2 H₁:μ ‡ 2 H₁:μ 2 Reject the null hypothesis O Fail to reject the null hypothesis (to 2 decimals)
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.
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
Which one of the following statements is incorrect: A. A type I error consists of rejecting the null hypothesis when it is true B. A type II error consists of accepting the null hypothesis when it is false C. You can control simultaneously both the Type I and Type II error probabilities when the sample size is fixed D. Hypothesis testing and confidence intervals are related concepts

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