What is the critical value of Z in a left-tailed test when alpha is 0.025 O -1.65 O 1.65 O -1.96 O -45.5
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- Suppose for a sign test, there are 8 plus signs, 3 negative signs and 1 zero. A. What would be the test statistic? B. What would be the critical value for a one tailed test at α α =0.05?If a =0.05 and df=26 for a left-tailed test, what is the critical value of x?? A. Xổ 05 = 38.885 Xổ.05 В. 15.379 C. Xã.95 = 38.885 2 D. Xá.95 = 15.379When the sample standard deviation S is based on a random sample from a normal population distribution, it can be shown that E(S) = V2/(n - 1)r(n/2)a/T((n - 1)/2) Use this to obtain an unbiased estimator for o of the form cS. What is c when n = 16? (Round your answer to four decimal places.)
- In an experiment, n = 35 are assigned to the control group, and n = 41 are assigned to the experimental group. What is the critical t value for alpha = .05, two-tailed test?A sample of n = 25 scores is selected from a normal population with µ = 40 and σ = 10 a. What is the probability that the sample mean will be greater than 35 (find the z and the p-value)? The probability that the sample mean will be greater than 35 is 0.9938. (Z = -2.5 and p-value = 0.9938) b. What is the probability that the sample mean will be less than 38 (find the z and the p value)? The probability that the sample mean will be less than 38 is 0.1587. (Z = -1 and p-value = 0.1587)When the following hypotheses are being tested at 5% level with o known Họ: H 2 11 H1:µ 1.645 O b. > 1.96 or, 2 O d. <-1.645
- Each person in a random sample of 400 residents in a major town was asked whether they had ever been bitten by a dog. 85 answered yes. We are testing the following pair of hypotheses for the value of p, the true proportion of residents in the town who have been bitten by a dog: H0: p = 0.25 Ha: p < 0.25 We are using (alpha) α = 0.05. What is the P-value of this test? Select one: a.0.050 b.0.958 c.0.042 d.0.033You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 332 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of αα = 0.01. Complete the rest of the table by filling in the expected frequencies: Frequency of Cars in Each Lane Outcome Frequency Expected Frequency Lane 1 76 Lane 2 65 Lane 3 80 Lane 4 111 What are the null and alternative hypotheses?H0:H0: Select an answer The distribution of traffic is uniform. The distribution of traffic is not uniform. The traffic and lanes are dependent. The traffic and lanes are independent. Ha:Ha: The distribution of traffic is uniform. The traffic and lanes are independent. The distribution of traffic is not uniform. The traffic and lanes are dependent. The degrees of freedom = The test-statistic for this data = (Please show your answer to two decimal places.) Based on this, we should fail…A researcher investigated the number of days patients spend at a hospital. Patients were randomly selected from four regions and the number of days each patient spent at a hospital was recorded. At α=0.10, can the researcher reject the claim that the mean number of days patients spend in the hospital is the same for all four regions? A. Identify the degrees of freedom for the numerator and for the denominator, determine the critical value. B. Calculate the Test Statistic
- 2. Let X be exponentially distributed with population mean u. Recall that the exponential cdf is F(x) = 1 – exp(-) for x > 0. Suppose that we wish to test the hypothesis: d : 0H We define the test statistic to be the value of a single random variable, X. From using a 5% significance level, show that the critical region for the test statistic is given by C = (0, – log ). Given this, derive the power function, B(u), for the hypothesis test. 1 Нi : д < 1. VS 19 20The critical value of F for an alpha level of 0.05 and 2 and 12 degrees of freedom is 3.88. if the observed F value of 6.67 is greater than 3.88. what happens to the null hypothesis and explain your position?B) In a sample of n = 50 people who recently received parking tickets, 36 were older than 25 years and the other 14 were age 25 or younger. Is the age distribution for this sample significantly different from the distribution for the population of licensed drivers? Use a = .05. 1. State the alternative hypothesis and null hypothesis 2. Calculate the degrees of freedom (df) for chi-square. 3. Using an a = .05, what is the critical value for chi-square (xcrit)? 4. Calculate chi-square (x²) and provide a statement with words about your decision 5. Write a sentence demonstrating how the results from the hypothesis test would appear in a research report. %3D ke the