MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Use 9 steps of hypothesis testing (indicate test to use).
Is there any evidence that leadership style (as measured by the amount of controlling behavior) differs between principals in urban and rural areas?
If you have made an error, would it be a Type I or a Type II error? Explain your answer.
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- Explain what a p-value represents. Explain what the significance level for a hypothesis test, a, represents.arrow_forwardAs quality control inspector, you have previously believed a claim that 3.2% of items made on your production line are defective. To see if you should still believe this claim: you decide to do a two sided significance test, with a significance level of 2%. You then randomly sample 420 items from the production line, and find that 22 of the items are defective. Which of the following are correct general statements about the conclusion that you find from the significance test? Select all that apply 1. The P-value from your test, is less than or equal to your chosen alpha value. 2. Your sample results are not statistically significant. 3. You reject the null hypothesis in favor of the two sided alternative. 4. Your sample results are statistically significant 5. Based upon the evidence from your significance test, you should no longer believe the null hypothesis claim. 6. Based upon the evidence from your significance test, you have no reason to stop believing the null hypothesis…arrow_forwardDescribe, in your own words, the difference between a one-tailed and two-tailed test within the context of significance testing.arrow_forward
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- A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Age Group Hours of Sleep 39 or younger 40 or older Fewer than 6 38 36 6 to 6.9 60 57 7 to 7.9 76 74 8 or more 66 93 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. (b) What is your estimate of the percentages of individuals who sleep fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more per night?arrow_forwardMedian household income in a particular county is $46,250. A researcher is interested to see whether students at the county community college have a median household income lower than the county overalI. She selects 15 students at random and determines that 12 have a household income below the county median, one has an income equal to the county median, and two have a household income above the county median. She wishes to conduct her test using the 0.05 significance level. What is the decision rule? Multiple Choice Reject Ho if the number above the median is <3 or 28. Reject Ho if the number above the median is <3. Reject Ho if the number above the median is <2 or 210. Reject Ho if the number above the median is <2.arrow_forwardA survey asked students for their college and their satisfaction with their program. The results are provided in the tables below. Determine if there is a relationship between college and satisfaction at the 0.05 level of significance. Satisfied Not Satisfied Arts and Sciences 5 2 Education 6 1 Technology 14 12 Business 18 12 Health Profession 10 4 Social and Behavioral Sciences 8 12 H0: College and Satisfaction are independent. H1 : College and Satisfaction are dependent. Determine the p-value. What is the correct decision for this test? What is your conclusion, in context? Explain your reasoning.arrow_forward
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