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: \( H_0: p = 0.03 \) and \( H_a: p < 0.03 \).Choose the statement that best describes the significance level in the context of the hypothesis test. The significance level of 0.05 is- ○ 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.- ○ the probability of concluding that the faulty rate is equal to 0.03 when in fact it is less than 0.03.The option "the z-statistic that we will use to compare the observed outcome to the null hypothesis" is selected, but it is noted by the red cross as incorrect.

Suppose p is the faulty rate of supply of all running shoes.

Answered: A running shoe manufacturer believes…

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 mean GPA of night students is significantly different than 3.4 at the 0.2 significance level.The null and alternative hypotheses would be: H0:μ=3.4H0:μ=3.4H1:μ>3.4H1:μ>3.4 H0:p=0.85H0:p=0.85H1:p<0.85H1:p<0.85 H0:p=0.85H0:p=0.85H1:p≠0.85H1:p≠0.85 H0:p=0.85H0:p=0.85H1:p>0.85H1:p>0.85 H0:μ=3.4H0:μ=3.4H1:μ<3.4H1:μ<3.4 H0:μ=3.4H0:μ=3.4H1:μ≠3.4H1:μ≠3.4 Based on a sample of 31 people, the sample mean GPA was 3.37 with a standard deviation of 0.08The p-value is: (to 3 decimals)The positive significance level is: (to 2 decimals)
Test the claim that the mean GPA of night students is significantly different than 2.7 at the 0.04 significance level.The null and alternative hypotheses would be: H0:μ=2.7H0:μ=2.7H1:μ≠2.7H1:μ≠2.7 H0:p=0.675H0:p=0.675H1:p>0.675H1:p>0.675 H0:p=0.675H0:p=0.675H1:p<0.675H1:p<0.675 H0:μ=2.7H0:μ=2.7H1:μ>2.7H1:μ>2.7 H0:p=0.675H0:p=0.675H1:p≠0.675H1:p≠0.675 H0:μ=2.7H0:μ=2.7H1:μ<2.7H1:μ<2.7 The test is: left-tailed two-tailed right-tailed Based on a sample of 30 people, the sample mean GPA was 2.66 with a standard deviation of 0.16The p-value is: (to 3 decimals)The positive significance level is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
Test the claim that the proportion of people who own cats is smaller than 60% at the 0.025 significance level. The null and alternative hypothesis would be: Ho: p=0.6 Ho:μ ≥ 0.6 Ho: p 0.6 The test is: left-tailed right-tailed two-tailed Based on a sample of 600 people, 53% owned cats The test statistic is: The p-value is: Based on this we: Ho:p>0.6 Ho: 0.6 Ho: μ 0.6 Reject the null hypothesis O Fail to reject the null hypothesis (to 2 decimals) (to 2 decimals) =
Test the claim that the mean GPA of night students is smaller than 2.8 at the .05 significance level. The null and alternative hypothesis would be: = 2.8 Ho:p= 0.7 Ho:μ = 2.8 : Ho p= 0.7 Ho:μ = 2.8 Ho: p = 0.7 Ho:μ = H₁:p 2.8 H₁:p 0.7 H₁:μ 0.7 H₁:μ ‡ 2.8 The test is: right-tailed two-tailed left-tailed Based on a sample of 50 people, the sample mean GPA was 2.75 with a standard deviation of 0.02 The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
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
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Test the claim that the mean GPA of night students is significantly different than 2 at the 0.01 significance level. The null and alternative hypothesis would be: Но: р > 0.5 Нo: 2 H1:p > 0.5 H1:µ # 2 H1:p+ 0.5 H1:µ 2 The test is: right-tailed left-tailed two-tailed Based on a sample of 55 people, the sample mean GPA was 2.05 with a standard deviation of 0.03 The p-value is: (to 2 decimals)
Test the claim that the mean GPA of night students is smaller than 2.7 at the 0.10 significance level.The null and alternative hypothesis would be: H0:μ=2.7H0:μ=2.7H1:μ≠2.7H1:μ≠2.7 H0:p=0.675H0:p=0.675H1:p≠0.675H1:p≠0.675 H0:p≤0.675H0:p≤0.675H1:p>0.675H1:p>0.675 H0:μ≤2.7H0:μ≤2.7H1:μ>2.7H1:μ>2.7 H0:p≥0.675H0:p≥0.675H1:p<0.675H1:p<0.675 H0:μ≥2.7H0:μ≥2.7H1:μ<2.7H1:μ<2.7 The test is: right-tailed two-tailed left-tailed Based on a sample of 40 people, the sample mean GPA was 2.65 with a standard deviation of 0.07The p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
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