Answered: True or False: If we increase the…

True or False: If we increase the significance level α for a test from 0.05 to 0.1, we will have a higher chance of making type I error and a lower chance of making type 2 error.

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 men who own cats is significantly different than the proportion of women who own cats at the 0.01 significance level.The null and alternative hypothesis would be: H0:μM=μFH1:μM<μF H0:μM=μFH1:μM>μF H0:pM=pFH1:pM≠pF H0:pM=pFH1:pM>pF H0:pM=pFH1:pM<pF H0:μM=μFH1:μM≠μF The test is: right-tailed left-tailed two-tailed Based on a sample of 60 men, 25% owned catsBased on a sample of 60 women, 45% owned catsThe 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
You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly different from 0.21. You use a significance level of α=0.005. H0:p=0.21 H1:p≠0.21You obtain a sample of size n=750 in which there are 126 successes.What is the test statistic for this sample? (Report answer accurate to four 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... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is different from 0.21. There is not sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is different from…
Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.05 significance level.The null and alternative hypothesis would be: H0:pM=pF H1:pM≠pF H0:μM=μFH1:μM>μF H0:μM=μFH1:μM≠μF H0:pM=pFH1:pM>pF H0:pM=pF H1:pM<pF H0:μM=μFH1:μM<μF The test is: right-tailed two-tailed left-tailed Based on a sample of 40 men, 40% owned catsBased on a sample of 60 women, 45% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
Suppose that an allergist wishes to test the hypothesis that at least 30% of the public is allergic to some cheese products. Explain how the allergist could commit a type II error.
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Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.1 significance level.The null and alternative hypothesis would be: H0:μN=μDH0:μN=μDH1:μN≠μDH1:μN≠μD H0:μN=μDH0:μN=μDH1:μN>μDH1:μN>μD H0:pN=pDH0:pN=pDH1:pN≠pDH1:pN≠pD H0:pN=pDH0:pN=pDH1:pN>pDH1:pN>pD H0:pN=pDH0:pN=pDH1:pN<pDH1:pN<pD H0:μN=μDH0:μN=μDH1:μN<μDH1:μN<μD The test is: two-tailed left-tailed right-tailed The sample consisted of 45 night students, with a sample mean GPA of 2.15 and a standard deviation of 0.06, and 35 day students, with a sample mean GPA of 2.16 and a standard deviation of 0.03.The test statistic is: ________(to 2 decimals)The positive 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 proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.1 significance level.The null and alternative hypothesis would be: H0:μM=μFH0:μM=μFH1:μM>μFH1:μM>μF H0:pM=pFH0:pM=pFH1:pM<pFH1:pM<pF H0:μM=μFH0:μM=μFH1:μM<μFH1:μM<μF H0:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF H0:pM=pFH0:pM=pFH1:pM≠pFH1:pM≠pF H0:pM=pFH0:pM=pFH1:pM>pFH1:pM>pF The test is: right-tailed two-tailed left-tailed Based on a sample of 80 men, 25% owned catsBased on a sample of 20 women, 45% owned catsThe test statistic is:__________ (to 2 decimals)The p-value is: _________ (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
Last year, the average math SAT score for students at one school was 475. The headmaster introduced new teaching methods hoping to improve scores. This year, the mean SAT score for a sample of students was 481. Is there statistically significant evidence that the new teaching method is effective? If the teaching method had no effect, there would be roughly a 3 in 10 chance of seeing such an increase. Does the result have statistical significance? Why or why not? Does the result have practical significance?
You are conducting a study to see if the probability of catching the flu this year is significantly different from 0.89. You use a significance level of α=0.005α=0.005. H0:p=0.89H0:p=0.89 H1:p≠0.89H1:p≠0.89You obtain a sample of size n=213n=213 in which there are 204 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 =
Researchers investigate how the presence of cell phones influence the quality of human interaction. Subjects are randomly selected from a population and divided into an experimental group that is asked to leave their phones in the front of the room and a control group that are not asked to leave their cell phones at the front of the room. Subjects are left alone for 10 minutes and then asked to take a survey designed to measure quality of interactions they had with others in the experiment. What statistical test is appropriate?
If the power of an experiment is low then The experiment will likely be inconclusive. Any significant findings obtained are suspect. The results are skewed.