7. When z-test statistics is +5, at 2% level of significance for H0: µ = 75, what is the decision regarding the null hypothesis
p - value = 2*P(z > 5) = 0.0000
Since p - value is less than 0.02 significance level, the decision will be to reject the null hypothesis.
7. When z-test statistics is +5, at 2% level of significance for H0: µ = 75,...
When z-test statistics is +5, at 2% level of significance for H0: µ = 75, what is the decision regarding the null hypothesis
4. It is desired to test H0 : µ = 20 Vs H1 : µ < 20, on the basis of a random sample of size 64 from normal distribution with population standard deviation σ = 2.4. The sample mean and sample standard deviation are found to be 19.5 and 2.5, respectively. (a) Test the hypothesis at α = 0.05. Compute the test statistics, critial regions, and perform the test. Will the result be difference if α is changed to...
In order to test the following hypotheses at an ? level of significance H0: ? ? 800 Ha: ? > 800 the null hypothesis will be rejected if the test statistic Z is a. > Z? b. < Z? c. < -Z? d. = ?
In #13-16, use the following information. At the 0.01 level of significance, test the claim that µ ≤ 25.5 cm. Sample data consist of 25 observations, for which x = 27.3 cm and s = 3.7 cm. 13. Give the null hypothesis in symbolic form. (a) H0 : p = 27.3 (b) H0 :x = 27.3 (c) H0 :µ ≤ 25.5 (d) H0 :σ = 3.7 (e) H0 :µ = 27.3 14. Determine the appropriate test statistic. (a) z =...
In order to test the following hypotheses at an α level of significance H0: μ ≤ 800 Ha: μ > 800 the null hypothesis will be rejected if a) the test statistic z ≥ zα. b) the test statistic z < zα. c) the test statistic z < −zα. d) the test statistic z = α.
Use the following to answer questions 1 and 2. Consider the hypothesis test H0: µ ≥ 65, Ha: µ < 65. From a sample of 15 observations, the sample mean was 63 and the sample standard deviation was 4. Use level of significance 0.01. Compute the test statistic. Give your answer to 2 decimal places.
The following hypotheses are given. H0 : π ≤ 0.83 H1 : π > 0.83 A sample of 100 observations revealed that p = 0.87. At the 0.10 significance level, can the null hypothesis be rejected? State the decision rule. (Round your answer to 2 decimal places.) Compute the value of the test statistic. (Round your answer to 2 decimal places.) What is your decision regarding the null hypothesis? Do not reject H0. Reject H0. question 2: The number of...
Using a 5% level of significance and a sample size of 25, what is the critical t-value for a null hypothesis, H0: µ ≤ 100? Multiple Choice 2.060 1.708 1.711 2.064
The five parts are: i. Null Hypothesis: H0 : µ =5.2 ii. Alternative Hypothesis: HA : µ < 5.2 iii. Rejection Region: Reject H0 if t statistic <−t49,.05 =−1.677 iv. Test Statistics: t = Y−µ0 S/pn = 5−5.2 0.7/p50 =−2.0203 <−t49,.05 =−1.677 v. Conclusion. Reject H0 at α = 5%. The data support that the mean dissolved oxygen count of the water is less than the reading at this location over the past year. What is the p-value?
. When we carry out a statistical test with significance level α = 5%, the probability of rejecting the null hypothesis when it is true is 5%. Suppose that we independently select 5 random samples of size 100, and for each sample carry out the same statistical test with significance level 5%. We know that the null hypothesis is true. What is the probability that we reject the null hypothesis at most once out of the 5 tests? (a) 0.02...