(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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You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim, You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below, At a = 0.01. can vou support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 26 27 30 31 37 23 28 320 29 27 37 32 31 25 31 29 22 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and Ha? O C. Ho: H=31 O A. Ho: H> 31 Hai H531 O B. Ho: H231 Ha:H31 (b) Use technology to find the P-value. P= (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Fail to reject Ho because the P-value is less than the significance level. O B. Reject H because the P-value is less than the…
HOw would you figure this out?
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H, when the level of significance is (a) a = 0.01, (b) a = 0.05, and (c) a = 0.10. P= 0.0406 (a) Do you reject or fail to reject H, at the 0.01 level of significance? O A. Reject H, because the P-value, 0.0406, is less than a = 0.01. O B. Fail to reject H, because the P-value, 0.0406, is less than a = 0.01. OC. Reject H, because the P-value, 0.0406, is greater than a = 0.01. O D. Fail to reject H, because the P-value, 0.0406, is greater than a = 0.01. (b) Do you reject or fail to reject H, at the 0.05 level of significance? O A. Fail to reject H, because the P-value, 0.0406, is greater than a= 0.05. O B. Reject H, because the P-value, 0.0406, is less than a = 0.05. O C. Reject H, because the P-value, 0.0406, is greater than a = 0.05. O D. Fail to reject H, because the P-value, 0.0406, is less than a = 0.05. (c) Do you reject or fail to reject H, at the 0.10 level of significance? O A. Reject H,…
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a = 0.01, (b) a =0.05, and (c) a= 0.10. P= 0.1089 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Reject Ho because the P-value, 0.1089, is greater than a= 0.01. O B. Reject H, because the P-value, 0.1089, is less than a= 0.01. O C. Fail to reject Ho because the P-value, 0.1089, is less than a = 0.01. D. Fail to reject Ho because the P-value, 0.1089, is greater than a = 0.01. (b) Do you reject or fail to reject Ho at the 0.05 level of significance? O A. Fail to reject Ho because the P-value, 0.1089, is greater than a = 0.05. 0.05. O B. Reject H, because the P-value, 0.1089, is greater than O C. Fail to reject Ho because the P-value, 0.1089, is less than a = 0.05. O D. Reject H, because the P-value, 0.1089, is less than a = 0.05.
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)
Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
[13] How does p-value relate to null hypothesis? a. Reference for making decisions about the null hypothesis b. Illustrates how bad the null hypothesis was crafted c. Provides a scale to check the validity of the null hypothesis d. All of the above
Imagine that you found that participants in the jelly bean condition had an average acne score o and your significance level was .041. Because your signifinace level is lEss than .05 you reject the null hypothesis. Result #2 imagine that you found that the participants in the jelly bean condition had an average acne score of and your significance level was .00. Because your significance level is less than .05 you reject the null hypothesis. You also note that this result suggest a bigger effect size(30verus10 on your dependant variable). What is the ma in difference between the two scenarios?
how do I explain the following? 1. Explain p-value In hypothesis testing , why can’t the null hypothesis be proved true? 2. Explain SignificanceExplain what is meant by a significant difference.
(c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Fail to reject H, because the P-value is greater than the significance level. O B. Reject Hn because the P-value is less than the significance level. O C. Fail to reject H, because the P-value is less than the significance level. O D. Reject H, because the P-value is greater than the significance level. (d) Interpret the decision in the context of the original claim. O A. At the 5% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 32 students. O B. At the 5% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is more than 32 students. O C. At the 5% level of significance, there is not sufficient evidence to support the claim that the mean O D. At the 5% level of significance, there is not sufficient evidence to support the claim…
(b) Use technology to find the P-value. (c) Decide whether to reject or fail to reject the null hypothesis. (d) Interpret the decision in the context of the original claim.
Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 215 women, r1 = 63 responded yes. Another random sample of n2 = 185 men showed that r2 = 49 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use ? = 0.05.

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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.