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Please be detailed! thank u! Lversus the that e -1versus the 5. In the N(O, 2) family, show fully how to test the null hypothesis that alternative hypothesis that 5, at the 0.05 signifance level,...
18 marks] Suppose X~N(0,0). We wish to use a single value X hypothesis to test the null against the alternative hypothe...
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...
1. a) For a test at a fixed significance level, and with given null and alternative...
1. a) For a test at a fixed significance level, and with given null and alternative hypotheses, what will happen to the power as the sample size increases? b) For a test of a given null hypothesis against a given alternative hypothesis, and with a given sample size, describe what would happen to the power of the test if the significance level was changed from 5% to 1%. c) A test of a given null hypothesis against a given alternative...
Suppose that you insisted that every hypothesis test have a significance of 0.05. For the conditi...
Suppose that you insisted that every hypothesis test have a
significance of 0.05. For the conditional sampling distributions
shown above, what would be the power of the most powerful possible
one-tailed test?
A About 5% B About 50% C About 95% D Can’t tell from the
information given.
What would be the power of the most powerful possible two-tailed
test?
A About 10% bigger than the one-tailed test. B About 10% smaller
than the one-tailed test. C About 50% bigger...
9 Test the null hypothesis Ho : u = 3.0against the alternative hypothesis HA: U < 3.0 , based on a random sample of 2...
9
Test the null hypothesis Ho : u = 3.0against the alternative hypothesis HA: U < 3.0 , based on a random sample of 25 observations drawn from a normally distributed population with ū = 2.8 and o = 0.70. a) What is the value of the test statistic? Round your response to at least 3 decimal places. Number b) What is the appropriate p-value? Round your response to at least 3 decimal places. Number c) Is the null hypothesis...
N(0,02). We wish to use a 1. [18 marks] Suppose X hypothesis single value X = x to test the null Ho : 0 = 1 against the...
N(0,02). We wish to use a 1. [18 marks] Suppose X hypothesis single value X = x to test the null Ho : 0 = 1 against the alternative hypothesis H1 0 2 Denote by C aat the critical region of a test at the significance level of : α-0.05. (f [2 marks] Show that the test is also the uniformly most powerful (UMP) test when the alternative hypothesis is replaced with H1 0 > 1 (g) [2 marks Show...
5. Let X ~ N( ,o2) and assume ơ--3. We are to test the null hypothesis Ho: 10 against e) Let a -0...
5. Let X ~ N( ,o2) and assume ơ--3. We are to test the null hypothesis Ho: 10 against e) Let a -0.05. Design a test to accept or reject He (b) Determine and the power of your test. (c) Plot the probability density functions under the two hypotheses in the same coordinate systern and locate the critical value, acceptance and critical regions, and designate the quantities α and β graphically. revised hypothesis we have β 0.05. Then do (c)...
1. You want to test whether you can reject the null hypothesis that a population mean...
1. You want to test whether you can reject the null hypothesis that a population mean is greater than or equal to 10. To do this, you collect a random sample of size 500 from the population, and you calculate that the sample mean and sample standard deviation are 8.6 and s, respectively. Which of the following is true? a. If s is any value between 11 and 13, you can reject the null hypothesis at the 5% significance level....
Test of Significance should include all of the following: -Null and alternative hypothesis stated -Level of...
Test of Significance should include all of the following: -Null and alternative hypothesis stated -Level of significance stated, graph draw with critical region shaded and critical value indicated. (This is related to the lever of significance testing) -Appropriate descriptive statistics of data. -Test statistics (include formula) -test statistic marked on graph -Decision based on p-value. -Non-technical sentence of conclusion and summary. Part 1 Intelligence and the IQ test: A persons IQ was initially defined as follows: Mental age/chronological age *100...
Q7) A hypothesis test is to be performed with a Null hypothesis and an alternative hypothesis , the...
Q7) A hypothesis test is to be performed with a Null hypothesis and an alternative hypothesis , the population standard deviation is σ=3.0, the sample size is 30, and the significance level is α=0.025. What is a type I error? (1 mark) What is the chance of making a type I error in the above test? (1 mark) What is a Type II error? (1 mark) What value would the sample mean have to be greater than to reject Ho? (2 marks) It is...
Step 1 of 5:State the null and alternative hypotheses for the test. Step 2 of 5:...
Step 1 of 5:State the null and alternative hypotheses for the
test.
Step 2 of 5: Find the value of the standard deviation of the
paired differences. Round your answer to two decimal places.
Step 3 of 5:Compute the value of the test statistic. Round your
answer to three decimal places.
Step 4 of 5: Find the p-value for the hypothesis test. Round
your answer to four decimal places.
Step 5 of 5: Draw a conclusion for the hypothesis test....
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 that you insisted that every hypothesis test have a
significance of 0.05. For the conditional sampling distributions
shown above, what would be the power of the most powerful possible
one-tailed test?
A About 5% B About 50% C About 95% D Can’t tell from the
information given.
What would be the power of the most powerful possible two-tailed
test?
A About 10% bigger than the one-tailed test. B About 10% smaller
than the one-tailed test. C About 50% bigger...
9
Test the null hypothesis Ho : u = 3.0against the alternative hypothesis HA: U < 3.0 , based on a random sample of 25 observations drawn from a normally distributed population with ū = 2.8 and o = 0.70. a) What is the value of the test statistic? Round your response to at least 3 decimal places. Number b) What is the appropriate p-value? Round your response to at least 3 decimal places. Number c) Is the null hypothesis...
N(0,02). We wish to use a 1. [18 marks] Suppose X hypothesis single value X = x to test the null Ho : 0 = 1 against the alternative hypothesis H1 0 2 Denote by C aat the critical region of a test at the significance level of : α-0.05. (f [2 marks] Show that the test is also the uniformly most powerful (UMP) test when the alternative hypothesis is replaced with H1 0 > 1 (g) [2 marks Show...
5. Let X ~ N( ,o2) and assume ơ--3. We are to test the null hypothesis Ho: 10 against e) Let a -0.05. Design a test to accept or reject He (b) Determine and the power of your test. (c) Plot the probability density functions under the two hypotheses in the same coordinate systern and locate the critical value, acceptance and critical regions, and designate the quantities α and β graphically. revised hypothesis we have β 0.05. Then do (c)...
Step 1 of 5:State the null and alternative hypotheses for the
test.
Step 2 of 5: Find the value of the standard deviation of the
paired differences. Round your answer to two decimal places.
Step 3 of 5:Compute the value of the test statistic. Round your
answer to three decimal places.
Step 4 of 5: Find the p-value for the hypothesis test. Round
your answer to four decimal places.
Step 5 of 5: Draw a conclusion for the hypothesis test....
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