MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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How to use two-tailed hypothesis tests using the critical value approach at the 5% significance level?
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- A survey conducted on a group of 250 people randomly recruited from among the retirees revealed that 115 people were willing to find a new job. It is known that the rate of those who previously wanted to work among retired people is 67%. Can it be claimed that the ratio of these two tendencies is different from each other for the 2% significance level? Test it, interpret the decision you made as a result of the test. While testing the hypothesis test, apply the 4 stages and show them separately.arrow_forwardWhat is the relation between the significance level of a hypothesis test and the probability of making a Type I error?arrow_forwardWhat are the equations for a two-tailed hypothesis test? How is hypothesis testing used in engineering? Describe connections to other engineerin learning.arrow_forward
- True or false: The P-value is the smallest significance level for which the observed sample data result in rejection of the null hypothesis.arrow_forward(a) What is a sample, i.e. test, statistic? (b) Why do we compare a test statistic to the critical value(s) in a hypothesis test?arrow_forwardHow would you use a randomized controlled trial to assess the importance of “quality-quantity tradeoffs” in determining how much parents invest in their children? Can you think of a “natural experiment” that allows for similar inference without so many ethical problems?arrow_forward
- You are conducting a hypothesis test where alternative (research) hypothesis is that mu is greater than 850. You are testing at the 0.01 significance level. You take a sample of size 64 and calculate your test statistic to be -1.50. What would your test statistic be if you were testing, instead, at the 0.10 significance level?arrow_forwardDistinguish One-Sample Tests of Hypothesis from Two-Sample Tests of Hypothesisarrow_forwardDo the t-test and test the null hypothesis that the two means are equal at the 95% confidence interval?arrow_forward
- What do confidence intervals & hypothesis tests try to do?arrow_forwardAn immunologist is testing the hypothesis that the current flu vaccine is less than 71% effective against the flu virus. The immunologist is using a 10% significance level and thesehypotheses: H0: p=0.71 and Ha: p<0.71. Explain what the 10% significance level means in context.arrow_forwardIf significance level=0.05 and p-value=0.07, do you reject or fail to reject the null hypothesis H0?arrow_forward
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