MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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(b) Is there sufficient evidence to conclude, at the 5% level of significance,
that the false positive rate is less than 5%? Explain.
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- When interpreting the p-value, what did you have to assume was true? What percentage value do we use as the cutoff for determining if we have convincing evidence (or not?)arrow_forwardWould you favor spending more federal tax money on the arts? Of a random sample of n1 = 232 women, r1 = 66 responded yes. Another random sample of n2 = 198 men showed that r2 = 65 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: p1 = p2; H1: p1 ≠ p2H0: p1 < p2; H1: p1 = p2 H0: p1 = p2; H1: p1 > p2H0: p1 = p2; H1: p1 < p2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. We assume the population distributions are approximately normal.The standard normal. We assume the population distributions are approximately normal. The standard normal. The number of trials is sufficiently large.The Student's t. The number of trials is sufficiently large. What is the value of the sample…arrow_forwardWhat happens to the width of a confidence interval as the significance level, a, decreases?arrow_forward
- What are the z-scores for 90%, 95%, and 99% confidence?arrow_forwardIt the 1980s, it was generally believed that congenital abnormalities affected about 6% of a large nation's children. Some people believe that the increase in the number of chemicals in the environment has led to an increase in the incidence of abnormalities. A recent study examined 414 randomly selected children and found that 28of them showed signs of an abnormality. Is this strong evidence that the risk has increased? (Consider a P-value of around0.05to represent reasonable evidence.) What is the test statistic? What is the P-value?arrow_forwardWhat does it mean to say that there is a 1% chance of a Type I error?arrow_forward
- In a test of hypothesis the p-value was 0.09 . If the level of significance is 5 % . What is the conclusion ? Not enough information Reject the alternative hypothesis Fail to reject the null hypothesis Reject the null hypothesisarrow_forwardWhat is p? What happens to type 1 and type 2 error when you raise and lower your p-value?arrow_forwardWould you favor spending more federal tax money on the arts? Of a random sample of n1 = 204 women, r1 = 70 responded yes. Another random sample of n2 = 178 men showed that r2 = 48 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: p1 = p2; H1: p1 > p2H0: p1 = p2; H1: p1 < p2 H0: p1 = p2; H1: p1 ≠ p2H0: p1 < p2; H1: p1 = p2 (b) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume the population distributions are approximately normal.The Student's t. The number of trials is sufficiently large. The standard normal. The number of trials is sufficiently large.The Student's t. We assume the population distributions are approximately normal. What is the value of the sample…arrow_forward
- According to a survey conducted by the Association for Dressing and Sauces, 85% of American adults eat salad at least once a week. A nutritionist suspect that the percentage is higher that this. She conducts a survey of 200 American adults an finds that 171 of them eat salad at least once a week. Conduct the appropriate test that addresses the nutritionist's suspicions. Use the a = 0. 1 level of significance. What is the p-value? 0.85 0.855 0.1980 0.4215arrow_forwardCan you answer whats blank?arrow_forwardWhat is the P-value for the following scenario? A researcher claims that a post-lunch nap improves (decreases) 20-meter sprint times after a night with only 4 hours of sleep. The table below shows data for an experiment conducted to test this claim. Is there enough evidence to support the researcher's claim at the 1% level of significance? Runner 1 2 3 4 5 6 7 Time (before) 4.07 3.94 3.92 3.97 3.92 3.96 4.07 Time (after) 3.93 3.87 3.85 3.92 3.90 3.85 3.92arrow_forward
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