A one-sided hypothesis test is to be performed with a significance level of 0.05. Suppose that the null hypothesis is false. If a significance level of 0.01 were to be used instead of a significance levelof 0.05, which of the following would be true?ABOENeither the probability of a Type Il error nor the power of the test would change.Both the probability of a Type II error and the power of the test would decrease.Both the probability of a Type Il error and the power of the test would increase.The probability of a Type II error would decrease and the power of the test would increase.The probability of a Type Il error would increase and the power of the test would decrease.

A -sided test will be performed using the significance level, The null hypothesis is said to be…

Answered: A one-sided hypothesis test is to be…

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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Test the claim that the proportion of people who own cats is significantly different than 30% at the 0.01 significance level. The null and alternative hypothesis would be: 0.3 Но: р > 0.3 Но:р > 0.3 Но:р — 0.3 Но:р 0.3 H1 :µ + 0.3 H1: H 0.3 The test is: two-tailed right-tailed left-tailed Based on a sample of 800 people, 39% owned cats The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
Test the claim that the proportion of people who own cats is significantly different than 20% at the 0.02 significance level. The null and alternative hypothesis would be: Ho: 0.2 Ho:p 0.2 Ho: 0.2 O O O The test is: left-tailed two-tailed right-tailed O O Ho:p 0.2 of H₁:p> 0.2 H₁: 0.2 H₁ :p < 0.2 O O Based on a sample of 500 people, 22% owned cats The p-value is: (to 2 decimals)
Test the claim that the mean GPA of night students is smaller than 3.4 at the 0.025 significance level. The null and alternative hypothesis would be: Ho:p = 0.85 Ho:µ 0.85 Ho:µ= 3.4 Ho:µ > 3.4 H1:p + 0.85 H1:µ > 3.4 H1:p > 0.85 H1:p < 0.85 H1:µ # 3.4 H1:µ < 3.4 The test is: right-tailed two-tailed left-tailed Based on a sample of 20 people, the sample mean GPA was 3.39 with a standard deviation of 0.02 The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
Test the claim that the mean GPA of night students is significantly different than 3.2 at the 0.2 significance level.The null and alternative hypothesis would be: (multiple choice) H0:p=0.8H0:p=0.8H1:p>0.8H1:p>0.8 H0:μ=3.2H0:μ=3.2H1:μ>3.2H1:μ>3.2 H0:p=0.8H0:p=0.8H1:p<0.8H1:p<0.8 H0:μ=3.2H0:μ=3.2H1:μ≠3.2H1:μ≠3.2 H0:μ=3.2H0:μ=3.2 H1:μ<3.2H1:μ<3.2 H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 The test is: (multiple choice) left-tailed right-tailed two-tailed Based on a sample of 30 people, the sample mean GPA was 3.17 with a standard deviation of 0.07The test statistic is: (to 2 decimals)The positive critical value is: (to 2 decimals)Based on this we: (multiple choice) Reject the null hypothesis Fail to reject the null hypothesis
Test the claim that the mean GPA of night students is significantly different than 3.5 at the 0.1 significance level. The null and alternative hypothesis would be: Ho: µ = 3.5 Ho: µ = 3.5 Ho:p = 0.875 Ho:µ = 3.5 Ho:p= 0.875 Ho:p=0.875 H1: µ 3.5 H1:p# 0.875 H1:p > 0.875 The test is: two-tailed right-tailed left-tailed Based on a sample of 70 people, the sample mean GPA was 3.46 with a standard deviation of 0.04 The test statistic is: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
A running shoe manufacturer believes that its supply of faulty running shoes is less than 0.03, the rate deemed acceptable. We perform a hypothesis test at a significance level of 0.05 with the null and alternative hypothesis as follows: Ho: p = 0.03 and Ha:p < 0.03. Choose the statement that best describes the significance level in the context of the hypothesis test. The significance level of 0.05 is X the probability of concluding that the faulty rate is less than 0.03 when in fact the faulty rate is equal to 0.03. the z-statistic that we will use to compare the observed outcome to the null hypothesis. the rate of faulty monitors that we believe is the true rate. O the probability of concluding that the faulty rate is equal to 0.03 when in fact it is less than 0.03.
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)
Test the claim that the proportion of people who own cats is significantly different than 20% at the 0.1 significance level. The null and alternative hypothesis would be: Ho:p 2 0.2 Ho:p = 0.2 Ho: u 0.2 Ho: u = 0.2 Ho:p 0.2 H1 : p 0.2 The test is: left-tailed two-tailed right-tailed Based on a sample of 700 people, 11% owned cats The p-value is: 0.1 x (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
Test the claim that the proportion of men who own cats is larger than 20% at the .01 significance level. The null and alternative hypothesis would be: Ho: P 0.2 Hop 0.2 Hoμ = 0.2 H₁: p0.2 H₁ : μ 0.2 (to 2 decimals) (to 2 decimals) Ho: p = 0.2 0 H₁: p < 0.2
Test the claim that the mean GPA of night students is significantly different than 2.3 at the 0.05 significance level.The null and alternative hypothesis would be: H0:μ=2.3H0:μ=2.3H1:μ>2.3H1:μ>2.3 H0:p=0.575H0:p=0.575H1:p>0.575H1:p>0.575 H0:μ=2.3H0:μ=2.3H1:μ<2.3H1:μ<2.3 H0:p=0.575H0:p=0.575H1:p≠0.575H1:p≠0.575 H0:μ=2.3H0:μ=2.3H1:μ≠2.3H1:μ≠2.3 H0:p=0.575H0:p=0.575H1:p<0.575H1:p<0.575 The test is: two-tailed left-tailed right-tailed Based on a sample of 80 people, the sample mean GPA was 2.27 with a standard deviation of 0.02The test statistic is: (to 2 decimals)The positive critical value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
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 2.3 at the .025 significance level. The null and alternative hypothesis would be: Но : р — 2.3 Но:н — 2.3 Но:р %3D 0.575 Но: д —— 2.3 Но:р %3D 0.575 Но:р 3 0.575 H:р + 2.3 Hi:p 2.3 Н:р#0.575 H:р> 0.575 The test is: left-tailed right-tailed two-tailed Based on a sample of 65 people, the sample mean GPA was 2.34 with a standard deviation of 0.06 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

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