MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Using the t-table, find the critical values for a two-tailed test with an α = 0.01 for a
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- An accountant is studying how much American families donate each year to charity. The accountant states the average yearly amount donated to charity by American families is different than 5.5 thousand dollars. If we would like to test the accountant's claim with a hypothesis test using a significance level of α=0.01 , what is the rejection region? Use the graph below to show the rejection region. First, move the blue dot to choose the appropriate test (left-, right, or two- tailed). Then, slide the shaded region(s) to represent the rejection region.arrow_forwardAre Republicans less likely than Democrats to display the American flag in front of their residence on the Fourth of July? 425 of the 659 Republicans surveyed display the flag on the Fourth of July and 538 of the 784 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for the difference between two dependent population means z-test for the difference between two population proportions t-test for a population mean t-test for the difference between two independent population means The null and alternative hypotheses would be: H0:H0: Select an answer p1 μ1 Select an answer > = ≠ < Select an answer p2 μ2 (please enter a decimal) H1:H1: Select an answer p1 μ1 Select an answer > ≠ = < Select an answer μ2 p2 (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal…arrow_forwardUsing the t-table, the critical values for a two-tailed test with an α = 0.01 for a sample size of 15 are ±2.947.arrow_forward
- 14% of all Americans suffer from sleep apnea. A researcher suspects that a lower percentage of those who live in the inner city have sleep apnea. Of the 359 people from the inner city surveyed, 43 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.05? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: Ho: ? μ p Select an answer = ≠ > < (please enter a decimal) H1: ? p μ Select an answer < > = ≠ (Please enter a decimal) The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject fail to reject accept the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly smaller than 14% at αα = 0.05, so…arrow_forwardWhen using an independent samples t-test, the author of a journal article reported that t(30) = 3.60, p < .05. Should the researcher reject the null or fail to reject the null?arrow_forwardFind the standardized test statistic t for a sample with n = 20, x=6.8, s= 2.0, and o = 0.05 if Hau < 7.2, Round your answer to three decimal places.arrow_forward
- Find the critical value tc for the confidence level c=0.80 and sample size n=28.arrow_forwardUsing the z table, find the critical value (or values) for an α = .09 two-tailed test.arrow_forwardYou are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0.72. You use a significance level of α=0.02 H0:p=0.72 H1:p<0.72You obtain a sample of size n=291n=291 in which there are 192 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 = 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 accuracy rate for fingerprint identification is less than 0.72. There is not sufficient evidence to warrant rejection of the claim that the accuracy rate for fingerprint identification is less than 0.72. The sample data support the claim that the…arrow_forward
- Using the t-table, find the critical value for a left-tailed test with an α = 0.05 for a sample size of 23.arrow_forward(b) For a one-tailed test using the t-distribution, if the sample size is 20, find out the critical values based on the given significance levels: (1) a = 0.1, (2) a = 0.05, and (3) a = 0.01.arrow_forward
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