Consider testing H0: (p1-p2)=0 versus a two-tailed research hypothesis (H1: (p1-p2) not equal 0). Suppose you obtain a z test statistic equal to -2.37. Recalling that researchers typically report the best significance level reached among the conventional significance levels, the difference is statistically significant at a _____ percent level. (Type either 1, 5 or 10 to correctly fill in the blank.)
Answer to the question is 10 percent level.
This is because , at 10 percent level , the level of significance is 5 percent each for a two tailed test which gives a value of z of less than -1.645 for a statistically significance attainment. Both the other values of 1 percent and 5 percent does not give a statistically significant value.
Consider testing H0: (p1-p2)=0 versus a two-tailed research hypothesis (H1: (p1-p2) not equal 0). Suppose you...
1. Consider this hypothesis test: H0: p1 - p2 = < 0 Ha: p1 - p2 > 0 Here p1 is the population proportion of “happy” of Population 1 and p2 is the population proportion of “happy” of Population 2. Use the statistics data from a simple random sample of each of the two populations to complete the following:(10 marks) Population 1 Population 2 Sample Size (n) 1000 1000 Number of “yes” 600 280 a. Compute the test statistic z....
Use the sample data below to test the hypotheses: H0: p1=p2=p3 H1: Not all population proportions are equal The calculated test statistic is 6.082 9.249 8.851 10.950 At 2.5% level of significance, the conclusion is fail to reject H0 No test No decision Reject H0
In testing Ho: P1 - P2 - 0 versus HAP1-P20 You obtain a test statistic with a value of 2.18. What is the p-value? Include 4 decimal places in your answer.
Consider the following competing hypotheses and accompanying sample data. H0: p1 − p2 ≥ 0 HA: p1 − p2 < 0 x1 = 248 x2 = 266 n1 = 444 n2 = 444 a. At the 1% significance level, find the critical value(s). b. Calculate the value of the test statistic.
Suppose that X1, X2, . . . , Xn is an iid sample of N (0, σ2 ) observations, where σ 2 > 0 is unknown. Consider testing H0 : σ 2 = σ 2 0 versus H1 : σ 2 6= σ 2 0 ; where σ 2 0 is known. (a) Derive a size α likelihood ratio test of H0 versus H1. Your rejection region should be written in terms of a sufficient statistic. (b) When the null...
You wish to test the following claim (H1H1) at a significance level of α=0.02α=0.02. Ho:p1=p2Ho:p1=p2 H1:p1<p2H1:p1<p2 You obtain 33.7% successes in a sample of size n1=718n1=718 from the first population. You obtain 42.5% successes in a sample of size n2=414n2=414 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value...
6. A two-tailed hypothesis test for a repeated-measures research design Previous studies have shown that playing video games can increase visual perception abilities on tasks presented in the gaming zone of the screen (within 5 degrees of the center). A graduate student is interested in whether playing video games increases peripheral visual perception abilities or decreases attention to peripheral regions because of focus on the gaming zone. For his study, he selects a random sample of 81 adults. The subjects...