A study is designed to test H0: pi =.50 against Ha: pi doesnt equal.5. A sample size of 200 and significance level of 0.05 will be used. If pi =.4, find P(Type 2 error).
A study is designed to test H0: pi =.50 against Ha: pi doesnt equal.5. A sample...
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...
A study is designed to test Ho: P-0.50 against H: p>0.50, taking a random sample of size n-100, using a significance level of 0.05. Show that the rejection region consists of values of p> 0.582 a. Sketch a single picture that shows (i) the sampling distribution of p when Ho is true and (ii) the sampling distribution of p when p-0.60. Label each sampling distribution with its mean and standard error and highlight the rejection region. b. c. Find P(Type...
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...
a random sample of 80 graduate students 1 (6 points). A random sample of 80 graduate students shows that 22 students have shopped online in the past year. Is there enough evidence to show that the true population proportion is lower than 60%? Conduct the test at 10% level of significance. (a) H : type of test (circle one): H: two-sided / left tail / right tail (b) What is the distribution of the test statistic? (c) Sketch a graph...
An economist wants to study the impact of free financial counseling on saving behavior. The economist has a small random sample of people who have been “rolling over” their credit card debt for six months (i.e. they have not been paying the balance on their credit card, and therefore interest charges have been accumulating). All of these people receive financial counseling. The economist will observe whether or not each of them pays off their credit card debt within six months....
Problem H5 Let X be a single observation (n-1) from the following distribution: f(rle)-o elsewhere NOTE:XBeta(0, 1) The following two hypotheses are being tested: 110 : e-2 vs Ha : ?-1. (a) Draw a graph of f(z | ?) when (i) Ho is true and when (ii) H. is true. Put both graphs on the same plot. Explain why a rejection region of the form (X<k) makes intuitive sense (b) Find k, so that the test has level a 0.05....
Suppose that we will randomly select a sample of 72 measurements from a population having a mean equal to 18 and a standard deviation equal to 9. (a) Describe the shape of the sampling distribution of the sample mean. Do we need to make any assumptions about the shape of the population? Why or why not? (b) Find the mean and the standard deviation of the sampling distribution of the sample mean. (Round your σx⎯⎯ answer to 1 decimal place.)...
Suppose that we will randomly select a sample of 109 measurements from a population having a mean equal to 21 and a standard deviation equal to 8. (a) Describe the shape of the sampling distribution of the sample mean . Do we need to make any assumptions about the shape of the population? Why or why not? (b) Find the mean and the standard deviation of the sampling distribution of the sample mean . (Round your σx¯σx¯ answer to 1...
Forty percent of households say they would feel secure И they had SSO 000 in savings Your a dondy select 8 households and ask them r they that say they would feel secure is (a) exactly ive, (b) more than ive, and (c) at most five ould foel secure if they had $50,000 in savings Finde e probabey that the number (a) Find the probability that the number that say they would feel secure is exactly five Round to theee...