Homework Answers
The significance level, also denoted as alpha or α, is the probability of rejecting the null hypothesis when it is true.
A significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference.
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5. We conduct a test of hypothesis using a significance level of 0.05. This implies (a)...
(3 points) When one changes the significance level of a hypothesis test from 0.10 to 0.05,...
(3 points) When one changes the significance level of a hypothesis test from 0.10 to 0.05, which of the following will happen? Check all that apply. A. The chance of committing a Type I error changes from 0.10 to 0.05. B. The test becomes more stringent to reject the null hypothesis (i.e., it becomes harder to reject the null hypothesis). C. The chance that the null hypothesis is true changes from 0.10 to 0.05. D. It becomes easier to prove...
Suppose a hypothesis test is conducted using a significance or alpha level of 0.05, and the...
Suppose a hypothesis test is conducted using a significance or alpha level of 0.05, and the null hypothesis is rejected. This means that? A we would also reject the null hypothesis if the significance level had been 0.10 instead of 0.05. B the p-value was greater than 0.05. C we would also reject the null hypothesis if the significance level had been 0.01 instead of 0.05. D All answer options are correct.
You take a random sample of size 30 and conduct a hypothesis test at the 5...
You take a random sample of size 30 and conduct a hypothesis test at the 5 % level of significance . If instead , you take a random sample of size 50 and conduct the same hypothesis test at the same 5 % level of significance , what can you say about the probability of a type I and type II error (all else being equal ) ? A. P (Type I errror ) decreases and P (Type II error...
11. If the null hypothesis is rejected at a 05 significance level, it (a) must also...
11. If the null hypothesis is rejected at a 05 significance level, it (a) must also be rejected at a.10 significance level. (b) might also be rejected at a .10 significance level. (c) must not be rejected at a.10 significance level. (d) none of the above lfte null hypothesis İs not rejected at a .05 significance level, it: (a) will also not be rejected at a.01 significance level. (b) might be rejected at a .01 significance level. (e) will be...
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...
Conduct a test at the a=0.05 level of significance by determining (a) the null and alternative...
Conduct a test at the a=0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether pa > P2. The sample data are x = 120, n, 251, x2 = 132 and n, -311 (a) Choose the correct null and alternative hypotheses below O A. Ho P1 =Pz versus H, PP2 OB. Ho P, =...
15. Test the hypothesis that at the at 0.05 level of significance for the given sample...
15. Test the hypothesis that at the at 0.05 level of significance for the given sample data Assume that the populations are normally distributed Chapter 111 Population 1 Population 2 11 11 n 5 2.5 a. Write both alternative and null hypothesis. H: 01-02 Ho: 01-02 Two tail test b. Find test statistics (show formula and final answer with two decimals) F = 5,7/S7 = 2.52/4.62 = 0.30 c. Find P-value (round to 3 decimal places) 0.965 > 0.05. We...
We would like to conduct a hypothesis test at the 2% level of significance to determine...
We would like to conduct a hypothesis test at the 2% level of significance to determine whether the true mean pH level in a lake differs from 7.0. Lake pH levels are known to follow a normal distribution. We take 10 water samples from random locations in the lake. For these samples, the mean pH level is 7.3 and the standard deviation is 0.37. Using the critical value approach, the decision rule would be to reject H0 if the test...
. We would like to conduct a hypothesis test at the 10% level of significance to...
. We would like to conduct a hypothesis test at the 10% level of significance to determine whether the true mean score of all players in a bowling league differs from 150. The mean and standard deviation of the scores of 12 randomly selected players are calculated to be 170 and 16, respectively. Scores of all players in the league are known to follow a normal distribution. The P-value of the appropriate test of significance is
If a hypothesis is tested at the a = 0.05 level of significance, what is the...
If a hypothesis is tested at the a = 0.05 level of significance, what is the probability of making a type l error? Choose the correct answer below. A. The probability of making a type I error is 0.05 B. The probability of making a type I error is 0.95 O C. The probability of making a typeI error is 0.5 D. There is insufficient information to determine the probability of a type l error
11. If the null hypothesis is rejected at a 05 significance level, it (a) must also be rejected at a.10 significance level. (b) might also be rejected at a .10 significance level. (c) must not be rejected at a.10 significance level. (d) none of the above lfte null hypothesis İs not rejected at a .05 significance level, it: (a) will also not be rejected at a.01 significance level. (b) might be rejected at a .01 significance level. (e) will be...
Conduct a test at the a=0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether pa > P2. The sample data are x = 120, n, 251, x2 = 132 and n, -311 (a) Choose the correct null and alternative hypotheses below O A. Ho P1 =Pz versus H, PP2 OB. Ho P, =...
15. Test the hypothesis that at the at 0.05 level of significance for the given sample data Assume that the populations are normally distributed Chapter 111 Population 1 Population 2 11 11 n 5 2.5 a. Write both alternative and null hypothesis. H: 01-02 Ho: 01-02 Two tail test b. Find test statistics (show formula and final answer with two decimals) F = 5,7/S7 = 2.52/4.62 = 0.30 c. Find P-value (round to 3 decimal places) 0.965 > 0.05. We...
If a hypothesis is tested at the a = 0.05 level of significance, what is the probability of making a type l error? Choose the correct answer below. A. The probability of making a type I error is 0.05 B. The probability of making a type I error is 0.95 O C. The probability of making a typeI error is 0.5 D. There is insufficient information to determine the probability of a type l error
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