Suppose we want to test the null hypothesis H0 : p = 0.34 against the alternative hypothesis H1 : p > 0.34. Suppose also that we observed 120 successes in a random sample of 300 subjects and the level of significance is 0.05. What is the observed test statistic for this test?
a. -2.194
b. 2.194
c. 0.05
d. 0.4
Suppose we want to test the null hypothesis H0 : p = 0.34 against the alternative...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. A test of sobriety involves measuring the subject's motor skills. A study of n = 20 randomly selected sober subjects take the test and produce a mean score of X = 41.0, and we know that o = 3.7. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is...
(a) Suppose the null and alternative hypothesis of a test are: H0: μ= 9.7 H1: μ >9.7 Then the test is: left-tailed two-tailed right-tailed (b) If you conduct a hypothesis test at the 0.02 significance level and calculate a P-value of 0.07, then what should your decision be? Fail to reject H0 Reject H0 Not enough information is given to make a decision
Test the null hypothesis H0:μ=3.2against the alternative hypothesis HA:μ<3.2, based on a random sample of 25 observations drawn from a normally distributed population with x¯=3 and σ=0.72. a) What is the value of the test statistic? Round your response to at least 3 decimal places. b) What is the appropriate p-value? Round your response to at least 3 decimal places. c) Is the null hypothesis rejected at: i) the 10% level of significance? ii) the 5% level of significance?
Suppose you want to test the following hypotheses: H0: p ≥ 0.4 vs. H1: p < 0.4. A random sample of 1000 observations was taken from the population. Answer the following questions and show your Excel calculation for each question clearly: (a) Let p ̂ be the sample proportion. What is the standard error of sample proportion (i.e., σ_p ̂ ) if H0 is true? (b) If the sample proportion obtained were 0.38 (i.e., p ̂=0.38), what is its p-value?...
Test the null hypothesis H0:μ=3.2against the alternative hypothesis HA:μ<3.2, based on a random sample of 25 observations drawn from a normally distributed population with x¯=3 and σ=0.71. a) What is the value of the test statistic? Round your response to at least 3 decimal places. b) What is the appropriate p-value? Round your response to at least 3 decimal places. c) Is the null hypothesis rejected at: i) the 10% level of significance? NoYesClick for List ii) the...
Test the null hypothesis H0:μ=3.3against the alternative hypothesis HA:μ<3.3, based on a random sample of 25 observations drawn from a normally distributed population with x¯=3.1 and σ=0.68. a) What is the value of the test statistic? Round your response to at least 3 decimal places. b) What is the appropriate p-value? Round your response to at least 3 decimal places. c) Is the null hypothesis rejected at: i) the 10% level of significance? NoYesClick for List ii) the...
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...
Given the following null and alternative hypotheses, the test statistic from the sample data is z=1.875z=1.875. If the significance level of 0.05 which results in a critical value of 1.645, what is the conclusion as it relates to the null hypothesis? H0:p=0.22 H1:p>0.22 Fail to reject the alternative hypothesis Reject the null hypothesis Fail to reject the null hypothesis Support the null hypothesis
Identify the null hypothesis. alternative hypothesis, test statistic, decision about the null hypothesis and final conclusion that addresses the original claim Various temperature measurements are recorded at different times for a particular city. The mean of 20 degrees is obtained for 60 temperatures on 60 different days. Assuming that the population standard deviation is 1.5 degrees, test the claim that the population mean is 22 degrees. Use a 0.05 significance level Hou = 22; H1 is u# 22 Test statistic:...
Y~Bin(n,p). 15 of 100 samples are successes. Test the null hypothesis H0 : p = 0.10 against the alternative Ha : p > 0.10 at level alpha = 0.1 Find the p value.