What is the observed test statistic for this test?
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Suppose we want to test the null hypothesis H0 : p1 − p2 = 0.2 against the alternative hypothesis Ha : p1 − p2 < 0.2 at the 5% level of significance. Suppose also that x1 = 80, n1 = 100, x2 = 40, n2 = 80. What is the observed test statistic for this test?
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- true or false: If the p value of a statistical test is greater than 90% then this would support rejecting the null hypothesisWhat is tcrit for a one sample, one tailed t-test, with n=13 and α=0.05?Only about 12% of all people can wiggle their ears. Is this percent lower for millionaires? Of the 382 millionaires surveyed, 38 could wiggle their ears. What can be concluded at the α = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: (please enter a decimal) H1:H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 3 decimal places.) The p-value is α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly lower than 12% at α = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 12%. The data suggest the population proportion is not significantly lower than 12% at α = 0.05, so there is statistically…
- 14% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 362 randomly selected students who receive financial aid, 36 of them volunteered their time. What can be concluded at the � = 0.05 level of significance? Use the p-value approach. For this study, we should use z-test for a population proportion or t-test for a population mean The null and alternative hypotheses would be: �0: (p or u) (please enter a decimal) �1: (p or u) (Please enter a decimal) The test statistic (z or t) = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ( > or < with line) � Based on this, we should (accept or reject or fail to reject) the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly lower than 14% at � =…You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.29. You use a significance level of a = 0.02. Но: р Нi:р> 0.29 0.29 You obtain a sample of size n 555 in which there are 195 successes. 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 is... less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null O accept the nullA significance test is going to be performed using a significance level of a = hypothesis is actually false. 0.05. Suppose that the null If the significance level was lowered to a = 0.01, which of the following would be true? Choose 1 answer: A Both the probability of a Type II error and the power of the test would decrease. Both the probability of a Type II error and the power of the test would increase. The probability of a Type Il error would increase and the power of the test would decrease. The probability of a Type II error would decrease and the power of the test would increase.
- in a simple randon sample size of 89, there were 40 individuals in the category of interest. It is desired to test -- Ho: P=0.46 vs H1: P<46. Compute the statistic ZI attempted this problem by using a null hypothesis (mean heat flux is less than or equal to 29), an alternate hypothesis (mean heat flux is less than or equal to 29), and was attempting to use a Z or a T test statistic, however I can't sem to figure out whether the problem is using a sample standard deviation or a population standard deviation (which would help me choose whether to use a Z or T test statistic). Any explanation regarding whether the problem is using a sample standard deviation or a population standard deviation would be greatly appreciated. Thank you.Only about 10% of all people can wiggle their ears. Is this percent higher for millionaires? Of the 307 millionaires surveyed, 46 could wiggle their ears. What can be concluded at the α = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: (please enter a decimal) H1:H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 3 decimal places.) The p-value is α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly higher than 10% at α = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is higher than 10%. The data suggest the populaton proportion is significantly higher than 10% at α = 0.05, so there is statistically…
- In a certain right-sided test with large amples, the z-statistic of the sample is obtained to be 2.3. If the Type error is assumed to be 5%, should we reject the null hypothesis?You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly smaller than 76% at a significance level of αα = 0.01. According to your sample, 54 out of 80 potential voters prefer Candidate A. For this study, we should use The null and alternative hypotheses would be: H0H0: (please enter a decimal) H1H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. As such, the final conclusion is that ... The sample data suggest that the population proportion is not significantly smaller than 76% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 76%. The sample data suggest that the populaton proportion is…You are a research assistant at a zoo. The question of your study is "Has the proportion of baby zebras born in zoos has changed from 10%?". Your supervisor asks that you run a hypothesis test using a significance level of 0.05. From the study, you obtain a z-score of 0.788. What type of z test is appropriate? What is the ? Right, one-tailed test. = +1.645 Right, one-tailed test. = -1.645 Left, one-tailed test. = +1.645 Left, one-tailed test. = -1.645 Two-tailed test. = +1.645 and -1.645