(4) If the p-value for a test is less than the significance level (a), e.g. p-value=0.01 and a=0.05, do you reject or fail to reject the null hypothesis? Briefly explain your answer.

If the resulted p value is less than level of significance α, then the null hypothesis will be…

Answered: (4) If the p-value for a test is less…

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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State whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain. (a) t = -2.272 (b) t = 2.154 (c) t = 2.303 (d) t= -2.301 -to = -2.226 to = 2.226
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
You are conducting a study to see if the probability of catching the flu this year is significantly different from 0.55. You use a significance level of a = 0.02. Ho:p = 0.55 H1:p + 0.55 You obtain a sample of size n = 276 in which there are 162 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is different from 0.55. O There is not sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is different from 0.55. O The sample data support the claim that…
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 proportion of people who own cats is larger than 40% at the 0.1 significance level. Based on a sample of 500 people, 46% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)
Thanks
Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.1 significance level. The alternative hypothesis would be: p 0.8 u > 0.8 µ < 0.8 p # 0.8 µ # 0.8 o The test is: left-tailed two-tailed right-tailed Based on a sample of 500 people, 75% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals)
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)
Test the claim that the mean GPA of night students is significantly different than 2.6 at the 0.05 significance level. The null and alternative hypothesis would be: Но: д — 2.6 Нo:р 3 0.65 Но: р %—D 0.65 Но:н H:р > 2.6 Н:p#0.65 Hi:p > 0.65 Н:д < 2.6 H:д 2 2.6 H:р<0.65 - 2.6 Ho:µ 2.6 Но:р 0.65 = = The test is: right-tailed left-tailed two-tailed Based on a sample of 65 people, the sample mean GPA was 2.63 with a standard deviation of 0.05 The test statistic i: (to 2 decimals) The positive critical 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 proportion of people who own cats is significantly different than 50% at the 0.02 significance level. Based on a sample of 100 people, 58% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)
A-C please
Test the claim that the mean GPA of night students is significantly different than 2.5 at the 0.1 significance level. The null and alternative hypothesis would be: Ho: µ 2 2.5 Ho:p 0.625 Ho:p= 0.625 Ho: µ 0.625 H1:p 2.5 H:µ + 2.5 The test is: left-tailed two-tailed right-tailed Based on a sample of 60 people, the sample mean GPA was 2.47 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

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(4) If the p-value for a test is less than the significance level (a), e.g. p-value=0.01 and a =0.05, do you reject or fail to reject the null hypothesis? Briefly explain your answer.