X1-X2-10 24. Consider the test HoHa-μ2-10 vs. μι-μ2 > 10 using the test statistic z-1-2 n1...
To test Ho: p=0.35 versus Hy:p>0.35, a simple random sample of n = 200 individuals is obtained and x = 69 successes are observed. (a) What does it mean to make a Type Il error for this test? (b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, compute the probability of making a Type II error, B, if the true population proportion is 0.38. What is the power of the test? (c)...
Consider the following null and alternative hypotheses: Ho: p=0.76 versusH1: p≠ 0.76 A random sample of 525 observations taken from this population produced a sample proportion of 0.80. a. If this test is made at a 5% significance level, would you reject the null hypothesis? Use the critical-value approach. Round your answer for z to two decimal places. z(observed)= z critical left= z critical right= We reject/fail to reject null hypothesis b. What is the probability of making a Type...
Suppose you want to test the following hypotheses: H0: p ≥ 0.4 vs. H1: p < 0.4. A random sample of 1000 observations was taken from the population. Answer the following questions and show your Excel calculation for each question clearly: (a) Let p ̂ be the sample proportion. What is the standard error of sample proportion (i.e., σ_p ̂ ) if H0 is true? (b) If the sample proportion obtained were 0.38 (i.e., p ̂=0.38), what is its p-value?...
Question 6 (1 point) In JMP, to conduct a Hypothesis Test about one proportion using a Z-test Use Analyze > Distribution. Then select the variable and then at the red triangle, select Test Probabilities and enter the hypothesized value in the dialogue box. Go to Add Ins. Select Hypothesis Test for One Proportion from the list, select Raw or Summarized data, pick the column that contains the variable and then type in the value associated with success EXACTLY the way...
Question 3 (7 marks) A manufacturer has developed a new type of bicycle frame which will be sold with a 2-year warranty. To see whether this is economically feasible, 20 prototype frames are subjected to an accelerated life experiment to simulate 2 years of use. The proposed warranty will be modified only if fewer than 90% of such frames would survive the 2-year period. (a) Let p be the true proportion of frames that survive. Find a rejection region for...
Test the hypothesis using the P-value approach. Ho: p 0.55 versus H1 p0.55 n-150, X-78, α-0.10 Perform the test using the P-value approach. P-value(Round to four decimal places as needed.) Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p=0.72 versus H1 : p#0.72 n 500, x-350, o 0.05 Is npo (1-Po) 210? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or...
1.(10) Assume that the proportion of successes in a population is p. If simple random samples of size n are drawn from the population and the proportions, p. of successes in the samples are calculated, then the distribution of the sample proportions p is normal. What are the mean and standard deviation of this Normal distribution? Hp = 2.(10) How large do the number of successes and the number of failures in a sample have to be in order to...
^these two are together ^together ^these two are together ^these two are together en Find the indicated probability using the standard normal distribution Plz< -1.28 or z> 128) Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table P(z< - 1.28 or z>1.28)=(Round to four decimal places as needed.) In a random sample of 18 people, the mean commute time to work was 31,1 minutes and the standard...
Note: you can copy any of the following symbols from here: p o o2 S It has been reported that the probability that an individual will develop schizophrenia over their lifetime is 0.004. Medical researches selected a random sample of 3000 individuals and determined that 17 of them developed schizophrenia. Is there evidence to support the claim that the true proportion of people who will develop schizophrenia is different from 0.004 at the a = 0.05 level of significance? (Source:...
Consider a multiple regression model of the dependent variable y on independent variables x1, X2, X3, and x4: Using data with n 60 observations for each of the variables, a student obtains the following estimated regression equation for the model given: y0.35 0.58x1 + 0.45x2-0.25x3 - 0.10x4 He would like to conduct significance tests for a multiple regression relationship. He uses the F test to determine whether a significant relationship exists between the dependent variable and He uses the t...