Answer: true, of the test statistic taking a value as extreme as or more extreme than that actually observed is 0.011.
Explanation:
We know that the probability of test statistic taking a value as extreme as or more than observed is the p-value. So, for the given scenario the p-value is given as 0.011, which means the probability of test statistic taking a value as extreme as or more than observed is 0.011 when we assume that the null hypothesis is true.
Question 10 of 10 > You use software to carry out a test of significance. The...
You use software to carry out a test of significance. The program tells you that the ?P‑value is ?=0.011P=0.011 . This result is A) not statistically significant at either ?=0.05α=0.05 or ?=0.01α=0.01 . B) statistically significant at ?=0.05α=0.05 but not at ?=0.01α=0.01 . C) statistically significant at both ?=0.05α=0.05 and ?=0.01α=0.01 . D) statistically significant at ?=0.01α=0.01 but not at ?=0.05α=0.05 .
P-value is the probability, computed assuming H0 is true, that the test statistic would take a value as extreme or more extreme than that actually observed. Given the sample at hand, it is the smallest level of significance at which H0 would be rejected. It depends on the sample (hypotheses as well) and is hence also a test statistic. Generate 50 samples of size n=10 from a normal distribution with mean μ=1 and variance σ2=4. For each sample, use the...
You carry out independent simple random samples of laptops produced by manufacturers Macrohard. Of the 25 Marcohard laptops sampled, 5 were defective. Of the pear laptops samples, 12 were defective. Clearly, more of the sampled pear laptops were defective than Macrohard; however, is this enough evidence to conclude the proportion of defective laptops is larger for Pear than Macrohard? To answer this perform an appropriate hypothesis test significance level a= 0.05. 1. check the assumptions for the hypothesis test 2....
(6 points) For each problem, select the best response. (a) In testing hypotheses, which of the following would be strong evidence against the null hypothesis? A. Obtaining data with a large P-value. B. Using a small level of significance. C. Using a large level of significance. D. Obtaining data with a small P-value. (b) In formulating hypotheses for a statistical test of significance, the null hypothesis is often A. a statement of "no effect" or "no difference". B. the probability...
Alpha (a) is the probability that the test statistic would assume a value at or more extreme than the observed value of the test. True/False
A mathematician reported the results from a particular experiment to the researcher who conducted it. The report states that on one specific part of the experiment, a statistical test result yielded a p-value of 0.21. Based on this p-value, what should the researcher conclude? A. The test was not statistically significant because 2 × 0.21 = 0.42, which is less than 0.5. B.The test was statistically significant because a p-value of 0.21 is greater than a significance level of 0.05....
In hypothesis testing, the level of significance (a) is also known as the size of the rejection region or size of the critical region. True False In a hypothesis test, the probability of obtaining a value of the test statistic equal to or even more extreme than the value observed, given that the null hypothesis is true, is referred to as what? The p-value The level of significance The statistical power What is the requirement for a large sample to...
You wish to test Ho:u = 61.5 versus Haid < 61.5 at a significance level of 0.10. You obtain a sample of size 17 with a mean of 59.4 and a standard deviation of 17.2. You believe that the population is normally distributed. ROUND YOUR ANSWERS TO THREE DECIMAL PLACES. (a). What is the test statistic? Do not round your interim calculations. (b). Using your answer from part (a), find the p-value. (c). What is the critical value for this...
On a certain portion of an experiment, a statistical test result yielded a p-value of 0.15. What can you conclude? If the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 15% of the time, so the test is not statistically significant. 2(0.15) = 0.30 < 0.5; the test is not statistically significant. 0.15 > 0.05; the test is statistically significant. If the null hypothesis is true, one could expect...
QUESTION 12 The p-value is the same as the Z statistic measures the number of standard deviations from the mean is a distance is a probability QUESTION 13 For a two tail test, the p-value is the probability of obtaining a value for the test statistic more extreme than that provided by the sample less extreme than that provided by the sample more extreme than that provided by the population less extreme than that provided by the population Which of...