18 marks] Suppose X~N(0,0). We wish to use a single value X hypothesis to test the null against the alternative hypothe...
N(0,02). We wish to use a 1. [18 marks] Suppose X hypothesis single value X = x to test the null Ho : 0 = 1 against the alternative hypothesis H1 0 2 Denote by C aat the critical region of a test at the significance level of : α-0.05. (f [2 marks] Show that the test is also the uniformly most powerful (UMP) test when the alternative hypothesis is replaced with H1 0 > 1 (g) [2 marks Show...
Suppose we want to test the null hypothesis H0 : p = 0.34 against the alternative hypothesis H1 : p > 0.34. Suppose also that we observed 120 successes in a random sample of 300 subjects and the level of significance is 0.05. What is the observed test statistic for this test? a. -2.194 b. 2.194 c. 0.05 d. 0.4
Please be detailed! thank u! Lversus the that e -1versus the 5. In the N(O, 2) family, show fully how to test the null hypothesis that alternative hypothesis that 5, at the 0.05 signifance level, but with the greatest possible power, for a sample of size 16. Be as fully explicit as possible, including justifying that your test is indeed most powerful at this significance level. You can use Ф-0.05)--1.645. Be sure to actually compute the power, as well !...
2. A hypothesis will be used to test u = 7 against the alternative u = 7 with unknown population variance (i.e. o2 unknown). What are the critical values for the test statistic To when using the critical value/rejection region method and the following significance levels and sample sizes? (a) a = 0.01 and n = 20 (b) a = 0.05 and n = 12 (c) a= 0.10 and n = 15
Use the given claim to identify the Null Hypothesis, the Alternative Hypothesis, test statistics, P-value or Critical Values, then state the conclusion about the null hypothesis as well as the final conclusion that addresses the original claim The Brazil vending machine dispenses coffee, and a sample random sample of 27 filled cups have contents with a mean of 7.14 oz. and a standard deviation of 0.17 oz. Use a 0.05 significance level to test the claim that the machine dispenses...
5. Let X ~ N( ,o2) and assume ơ--3. We are to test the null hypothesis Ho: 10 against e) Let a -0.05. Design a test to accept or reject He (b) Determine and the power of your test. (c) Plot the probability density functions under the two hypotheses in the same coordinate systern and locate the critical value, acceptance and critical regions, and designate the quantities α and β graphically. revised hypothesis we have β 0.05. Then do (c)...
Alejandra is using a one-sample ?‑test to test the null hypothesis ?0:?=10.0 against the alternative ?1:?<10.0 using a simple random sample of size ?=15. She requires her results to be statistically significant at level ?=0.05. Determine the maximum value of ?t that will reject this null hypothesis. You may find this table of ?t‑critical values useful. If you are using software, you may find this catalog of software guides useful. Give your answer to three decimal places. ?=
12. Consider a statistical inference that test the null hypothesis be Ho: c against H : esuch that c is a positive value. The test statistic associated with this mull hypothesis is given by t(b-c)/se(b) At significance level a, the test statistic is smaller than the critical value te(a/2, N - 2), that is iste(a/2, N- 2). Mark the correct alternative: (a) The test p-value increases if we increase c. (b) c does not belong to the estimated confidence interval...
please help with t test snd hypothesesis If we reject a null hypothesis at the 1% significance level, then we have hypothesis is false. evidence that the null For this problem create your own t-test and state your null hypothesis, alternative hypothesis Draw out the normal distribution curve and the critical region. You can assume a two tail test. Label the critical region. strong weak non existent
We wish to test the null hypothesis that the left foreleg and left hind leg lengths of deer are equal. We obtain the following statistics : D bar= 3.34 cm standard area of d- bar = 4 n= 16 Do these data provide sufficient evidence to indicate that the left foreleg of the deer is different in size from the left hind leg? Let ?=0.05. 8. What is the null hypothesis? 9. What is the alternative hypothesis? 10. What is...