For a test of H0: μ = 15 versus Ha: μ ̸= 15, the value of the test statistic is t = 3.472 based on a sample of 9 observations. Based on Table D, how would you express the P-value?
The one-sample t statistic for a test of H0: μ = 10 Ha: μ < 10 Based on n = 10 observations has the value t = -2.25. a. What are the degrees of freedom for this statistic? b. What is the P-value for this test? (4 points)
In a test of the hypothesis H0: μ=48 versus Ha: μ>48, a sample of n =100observations possessed mean X̄ =47.4 and standard deviation s=4.6. The p-value for this test is .902 Interpret the result. Select the correct choice below and fill in the answer box to complete your choice.(Round to three decimal places as needed.) A) The probability (assuming that Ha is true) of observing a value of the test statistic that is at most as contradictory to the null...
In a test of the hypothesis H0: μ=10 versus Ha: μ≠10 a sample of =50 observations possessed mean overbar x=10.6 and standard deviation s=2.6 Find and interpret the p-value for this test The p-value for this test is __________. (Round to four decimal places as needed.) Interpret the result. Choose the correct answer below. A. There is sufficient evidence to reject H0 for α > 0.11. B.There is insufficient evidence to reject H0 for α=0.15. C.There is sufficient evidence to...
A hypothesis test is used to test the hypotheses H0: μ = 10.5 versus HA: μ > 10.5 where μ = the mean weight of a one-year old tabby cat. Based on a random sample of 21 cats, a p-value of 0.0234 is found. a) Using α = 0.05, what is the conclusion for this test, reject or fail to reject the null hypothesis? b) Based on your answer to part b, what type of error did you possibly make,...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.28. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. p-value > 0.2000.100 < p-value < 0.200 0.050 < p-value < 0.1000.025 < p-value < 0.0500.010 < p-value < 0.025p-value <...
You are conducting a significance test of H0: μ = 5 against Ha: μ > 5. After checking the conditions are met from a simple random sample of 30 observations, you obtain t = 2.35. Based on this result, describe the p-value. The p-value falls between 0.15 and 0.2. The p-value falls between 0.025 and 0.05. The p-value falls between 0.01 and 0.02. The p-value falls between 0.005 and 0.01. The p-value is less than 0.005.
Consider the following hypotheses: H0: μ = 9,100 HA: μ ≠ 9,100 The population is normally distributed with a population standard deviation of 700. Compute the value of the test statistic and the resulting p-value for each of the following sample results. For each sample, determine if you can "reject/do not reject" the null hypothesis at the 10% significance level. (You may find it useful to reference the appropriate table: z table or t table) (Negative values should be indicated...
The one-sample t statistic for testing H0: μ = 40 Ha: μ ≠ 40 from a sample of n = 13 observations has the value t = 2.77. (a) What are the degrees of freedom for t? (b) Locate the two critical values t* from the Table D that bracket t. < t < (c) Between what two values does the P-value of the test fall? 0.005 < P < 0.01 0.01 < P < 0.02 0.02 < P <...
ssume that z is the test statistic. (a) H0: μ = 22.5, Ha: μ > 22.5; x = 24.8, σ = 7.3, n = 37 (i) Calculate the test statistic z. (Round your answer to two decimal places.) (ii) Calculate the p-value. (Round your answer to four decimal places.) (b) H0: μ = 200, Ha: μ < 200; x = 192.1, σ = 34, n = 32 (i) Calculate the test statistic z. (Round your answer to two decimal places.)...
Assume that z is the test statistic. (a) H0: μ = 22.5, Ha: μ > 22.5; x = 26.7, σ = 7.4, n = 21 (i) Calculate the test statistic z. (Round your answer to two decimal places.) (ii) Calculate the p-value. (Round your answer to four decimal places.) (b) H0: μ = 200, Ha: μ < 200; x = 192, σ = 35, n = 20 (i) Calculate the test statistic z. (Round your answer to two decimal places.)...