The owner of a fitness watch would like to determine if the mean number of steps he takes per day differs from therecommended 10,000 steps per day, using a = 0.01. He selects a random sample of 50 days with the intention oftesting the hypotheses Ho:u = 10,000 steps versus Ha p # 10,000 steps where p = the true mean number of stepstaken per day.Which of the following values of the alternative hypothesis would yield the greatest power to reject the nullhypothesis?Ο μ-9,000O p =9,500O H = 10,000Ο μ 10,500

Statistical hypothesis testing is a method in inferential statistics which is a branch of…

Answered: The owner of a fitness watch would like…

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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The yield per tract in a certain region of farmland is known to have a populationstandard deviation of 13 bushels. Using the old seed variety, the population mean yield μwas 39 bushels. A farmer tests a new seed variety on a random sample of 36 tracts, andfinds a sample mean yield of 45.2 bushels. Is the population mean yield using the newseed variety different from 39? Use α= 0.10.a. State the null hypothesis . __________________State the alternative hypothesis.____________________b. Find the test statistic. _____ c. Find the P-value for the test. _____________
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.4 parts/million (ppm). A researcher believes that the current ozone level is not at the normal level. The mean of 1090 samples is 4.3 ppm. Assume the variance is known to be 1.44. Does the data support the claim at the 0.05 level? Step 1 of 5: Enter the hypotheses: Step 2 of 5: Enter the value of the z test statistic. Round your answer to two decimal places. Step 3 of 5: Specify if the test is one-tailed or two-tailed. Step 4 of 5: Enter the decision rule. Step 5 of 5: Enter the conclusion.
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The recidivism rate for convicted sex offenders is 14 %. A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 330 convicted sex offenders who were also drug addicts, 33 of them became repeat offenders. What can be concluded at the a = 0.10 level of significance? For this study, we should use Select an answer The null and alternative hypotheses would be: Select an answer Ho: ? ✓ H₁: ? ✓ Select an answer ✓ (please enter a decimal) (Please enter a decimal) The test statistic The p-value= The p-value is ? a Based on this, we should Select an answer the null hypothesis. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The data suggest the populaton proportion is significantly lower than 14% at a = 0.10, so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders is…
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