Suppose we wish to test Ho: p=0.75 against H4: p#0.75 using a = 0.05. If p...
Suppose that we wish to test the null hypothesis Ho that the proportion p of ledger sheets with errors is equal to .05 versus the alternative Ha , that the proportion is larger than .05, by using the following scheme. Two ledger sheets are selected at random. If both are error free, we reject Ho. If one or more contains an error, we look at a third sheet. If the third sheet is error free, we reject Ho. In all...
07 (15) Suppose that we wish to test the null hypothesis Ho that the proportion p of ledger sheets with errors is equal to .05 versus the alternative Ha , that the proportion is larger than .05, by using the following scheme. Two ledger sheets are selected at random. If both are error free, we reject Ho. If one or more contains an error, we look at a third sheet. If the third sheet is error free, we reject Ho....
In order to test whether a certain coin is fair, it is tossed ten times and the number of heads (X) is counted. Let p be the "head probability". We wish to test the null hypothesis: p = 0.5 against the alternative hypothesis: p > 0.5 at a significance level of 5%. (a) Suppose we will reject the null hypothesis when X is smaller than h. Find the value of h. (b) What is the probability of committing a type...
18 marks] Suppose X~N(0,0). We wish to use a single value X hypothesis to test the null against the alternative hypothesis Denote by C aa) the critical region of a test at the significance level of -0.05 (a) 2 marks] What is the sample space S, the parameter space 9 space Θο of the test? and the null parameter (b) 12 marks) Computea (c) 12 marks Compute the power of the test (i.e., at 2) (d) [2 marks] Compute the...
Suppose a random sample of 100 observations from a binomial population gives a value of p = 0.45 and you wish to test the null hypothesis that the population parameter p is equal to 0.40 against the alternative hypothesis that p is greater than 0.40. Complete parts a through c. a. Noting that p = 0.45, what does your intuition tell you? Does the value of p appear to contradict the null hypothesis? O A. Yes, because p satisfies Hg:p>0.40...
Consider the following hypothesis test Ho: p 2 0.75 a' p < 0.75 A sample of 400 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use α = .05 Round your answers to four decimal places a. p=0.69 p-value Conclusion: p-value less than or equal to 0.05, reject b. p0.72 p-value Conclusion: p-value greater than 0.05, do not reject c. p=0.71 p-value Conclusion: p-value less than or equal to 0.05, reject...
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). Fill in the blanks below to describe the sampling distribution of ft assuming Ho is true Mean Standard deviation Shape a. Sketch the sampling distribution of t assuming Ho is true b. Specify the rejection region when ft is used as the test statistic. Locate the...
Using a random sample of 28 observations from a normally distributed population, Mike tested the null hypothesis of the population mean that Ho: p=30 against Hy: #30 at a significance level of 0.05 and rejected the null hypothesis. This means that: A. If the null hypothesis is really true, then the probability that Mike rejects it is 0.05. B. Mike needs a larger sample size. OC. If Mike uses another sample of 28 observations he will reject Ho again. OD....
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...
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...