Given: Ho:p≥.8, Ha: p<.8, n=19, Reject Ho if X≤12
(a) Find the level of significance α.
(b) Find β(p1) if in fact p = .5.
(c) Find the power against the alternative p = .5.
(d) Suppose that X is observed to be xo=14
(i) What is your decision?
(ii) What type of error are you subject to?
(iii) Find the P-value.
(e) Set up a rejection region so that α is as close as possible to, but does not exceed .01. State both the 'nominal' α and the 'exact' a.
Given: Ho:p≥.8, Ha: p<.8, n=19, Reject Ho if X≤12 (a) Find the level of significance α....
Given. Ho:p28, Ha: p<.8, n= 19, Reject Ho if X 12 (a) Find the level of significance α. (b) Find β(pl) if in fact p-5. (c) Find the power against the alternative p-.5. (d) Suppose that X is observed to be xo-14 (i) What is your decision? (ii) What type of error are you subject to? (iii) Find the P-value. (e) Set up a rejection region so that α is as close as possible to, but does not exceed.01. State...
Given: Ho:p≤.6, Ha:p>.6,n=25, Reject Ho if X≥18 (a) Find the level of significance α. (b) Find β(p1) if in fact p = .8. (c) Find the power against the alternative p = .8. (d) Suppose that X is observed to be xo = 20. (i) Whatisyourdecision? (ii) What type of error are you subject to? (iii) Find the P-value. (e) Set up a rejection region so that α is as close as possible to, but does not exceed .05. State...
You wish to test the following claim (Ha) at a significance level of α=0.005. Ho:p=0.27 Ha:p>0.27 You obtain a sample of size n=587 in which there are 168 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.) The p-value for this test is (assuming Ho is true) the probability of observing... a) at most 168 successful observations b) at...
5. (worth 16 points) Consider a test of H : μ-65 versus Ha μ > 65. The test uses σ-10, α-01 size of n 64. and a sample a. Describe the sampling distribution of Fassuming Ho is true. Mean (t)- Standard deviation (oz)- Shape: Sketch the sampling distribution of x assuming Ho is true is used as the test stat istic. Locate the rejection region on your graph from b. Specify the rejection region when x part a. C. Describe...
Suppose that X ~ POI(μ), where μ > 0. You will need to use the following fact: when μ is not too close to 0, VR ape x N(VF,1/4). (a) Suppose that we wish to test Ho : μ-710 against Ha : μ μί are given and 10 < μι. m, where 140 and Using 2 (Vx-VHo) as the test statistic, find a critical region (rejection region) with level approximately a (b) Now suppose that we wish to test Ho...
7.97 Suppose you want to test Ho: u = 500 against He: p > 500 using a = .05. The population in question is normally dis- tributed with standard deviation 100. A random sample of size n = 25 will be used. a. Sketch the sampling distribution of x assuming that Ho is true. b. Find the value of xo, that value of x above which the null hypothesis will be rejected. Indicate the rejection region on your graph of...
Answers C. By the CLT, X approx N(a = 10,'- )s P(Z <-1.2)-0.115 ). Thus, P(X <9.8)s Plz < a. 6min X, and 62-2x-1 b·6, is biased (because it is always overestimation) but 02 is unbiased 2. (becase X is unbiased for estimating ) 3. a. 66.2, don't know whether it underestimates or overestimates b.?2o/2 ? = 66.2 ± 1.96 ,44=66.2 ±0.40 C. We don't know as the value of ? is unknown. d. Yes, because is the center of...
Find the p-value show work. STA 3123 U01- Spring 2019 omework: Section 8.5 Homework core: 0 of 1 pt Kath 70f9(9 complete) ▼ 8.5.57-T sample of five measurements, randomly selected from a normally distributed population, resulted in the folowing summary statistics: x 4.7, s1.2. Complete parts a. Test the null hypothesis that the mean of the population is 6 against the afternative hypothesis, u 6. Use -0.01 lf α. 0.01, find te rejection region for the test. Choose the correct...
need help Apps Consider a large-sample level 0.01 test for testing Ho: P-0.2 against Ha: P > o.2. (a) For the alternative value p-o.21, compute β(0.21) for sample sizes n 100, 4900, 10,000, 40,000, and 90,000. (Round your answers to four decimal places.) 100 4900 10,000 40,000 0.0044 90,000 0.0000 (b) For p x/n 0.21, compute the P-value when n 100, 49o0, 10,000, and 40,000. (Round your answers to four decimal places.) p-value 100 4900 10,000 40,000 0,0000 (c) In...
the sample size for a simple random sample from a population are given below x=8,n.32. Ho: p-o4. Ha : p<0.4, α:010 a. Determine the sample proportion. b. Decide whether using the one-proportion z-test is appropriate. c. If appropriate, use the one-proportion z-test to perform the speified hypothesis test. Click here to view a table of areas under the standard normal curve for negative values of z a. The sample proportion is (Type an integer or a decimal. Do not round.)...