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 hypothesis is __________
B) The probability (assuming that H0 is true) of observing a value of the test statistic that is at least as contradictory to the null hypothesis is __________
C)The probability (assuming that H0 is true) of observing a value of the test statistic that is equal to the null hypothesis is __________
The correct answer choice is:
The probability (assuming that H0 is true) of observing a value of the test statistic that is at least as contradictory to the null hypothesis is 0.902
In a test of the hypothesis H0: μ=48 versus Ha: μ>48, a sample of n =100observations...
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,...
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?
A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a significance level of α = 0.01. The value of the test statistic is z = 1.23. a. Is H0 rejected? b. If the true value of μ is 50, is the result a Type I error, a Type II error, or a correct decision? A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a significance level of α...
Consider the following hypothesis test. H0: μ ≤ 25 Ha: μ > 25 A sample of 47 provided a sample mean of 26.9. The sample standard deviation is 6 and the test statistic is 2.171 Determine the p-value for the given test statistic in this problem. Round your answer to three decimal places.
Consider the following hypothesis test. H0: μ ≤ 50 Ha: μ > 50 A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use α = 0.05. (Round your answers to two decimal places.) (a)x = 52.5 Find the value of the test statistic. State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the...
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 <...
Consider the following hypotheses: H0: μ ≥ 167 HA: μ < 167 A sample of 71 observations results in a sample mean of 165. The population standard deviation is known to be 25 . a-1. Calculate the value of the test statistic a-2. Find the p-value. b. Does the above sample evidence enable us to reject the null hypothesis at α = 0.05? c. Does the above sample evidence enable us to reject the null hypothesis at α = 0.01?...
#1 part A.) To test H0: μ=100 versus H1: μ≠100, a random sample of size n=20 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. (aa.) If x̅=104.4 and s=9.4, compute the test statistic. t0 = __________ (bb.) If the researcher decides to test this hypothesis at the α=0.01 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in...
A test of the null hypothesis H0: μ = μ0 gives test statistic z = 0.45. (Round your answers to four decimal places.) (a) What is the P-value if the alternative is Ha: μ > μ0? (b) What is the P-value if the alternative is Ha: μ < μ0? (c) What is the P-value if the alternative is Ha: μ ≠ μ0?