Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p=0.62 versus H₁: p<0.62 n=150, x = 84, α = 0.05 Is npo (1-Po) ≥ 10? OYes No ... Use technology to find the P-value. P-value = (Round to three decimal places as needed.) because the P-value is than α.
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- The quality inspector of a certain factory states that 3% of outgoing products have major defects. A sample of 200 products have 5 defective products. Is there strong evidence that the statement of the quality inspector is true? Use ?=0.05 Find the: Parameter of interest: ? Null hypothesis: ? Alternative hypothesis: ? Test statistic: ? Reject H0 if: ? Computations: ? Conclusion: ?A local tennis pro-shop strings tennis rackets at the tension (pounds per square inch) requested by the customer. Recently a customer made a claim that the pro-shop consistently strings rackets at lower tensions, on average, than requested. to support this claim, the customer asked the pro shop to string 6 new rackets at 68 psi. Suppose the two-tailed p-value for the test described above (obtained from a computer printout) is 0.07. Give the proper conclusion for the test. Use α = 0.05. a) There is sufficient evidence to conclude that μ, the true mean tension of the rackets, is less than 68 psi. b) There is insufficient evidence to conclude that μ, the true mean tension of the rackets, is less than 68 psi. c) Accept H0 and conclude that μ, the true mean tension of the rackets, equals 68 psi. d) Reject H0 and conclude that μ, the true mean tension of the rackets, equals 68 psi.Consider the hypotheses below. H0: μ≥60 H1: μ<60 Given that x=55.3, s=6.9, n=25, andα=0.10, complete parts a and b below. What conclusion should be drawn? The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic, tx. tx= (Round to two decimal places as needed.) What conclusion should be drawn? A.Reject H0. There is sufficient evidence to conclude that μ<60. BDo not reject H0. There is sufficient evidence to conclude that μ<60. C.Do not reject H0. There is not sufficient evidence to conclude that μ<60. D.Reject H0. There is not sufficient evidence to conclude that μ<60. b) Use technology to determine the p-value for this test.
- A local tennis pro-shop strings tennis rackets at the tension (pounds per square inch) requested by the customer. Recently a customer made a claim that the pro-shop consistently strings rackets at lower tensions, on average, than requested. To support this claim, the customer asked the pro shop to string 6 new rackets at 68 psi. Suppose the two-tailed P-value for the test described above (obtained from a computer printout) is 0.07 Give the proper conclusion for the test. Use a= 0.05A can of soda is labeled as containing 16 fluid ounces. The quality control manager wants to verify that the filling machine is not over-filling the cans. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses that would be used to determine if the filling machine is calibrated correctly. H0: ▼ sigmaσ muμ pp ▼ nothing H1: ▼ pp muμ sigmaσ ▼ less than< equals= not equals≠ greater than> nothingConsider the null hypotheses for the following multinomial experiments. (Give your answers correct to two decimal places.) (a) Determine the critical value and critical region that would be used in the classical approach to test Ho: P(1) = P(2) = P(3) = P(4) = 0.25, with ? = 0.01.?2 (b) Determine the critical value and critical region that would be used in the classical approach to test Ho: P(1) = 0.25, P(2) = 0.40, P(3) = 0.35, with ? = 0.01.?2
- A can of soda is labeled as containing 10 fluid ounces. The quality control manager wants to verify that the filling machine is not over-filling the cans. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses that would be used to determine if the filling machine is calibrated correctly. H0: ▼ sigmaσ muμ pp ▼ not equals≠ greater than> less than< equals= nothing H1: ▼ muμ pp sigmaσ ▼ not equals≠ less than< greater than> equals= (Type integers or decimals. Do not round.)a. Which of the two excel outputs above is the correct result of the data?b. What is the appropriate set of hypotheses for this test?c. From the given results above, which test is appropriate to test the significant difference between the heat-producing capacities of the coal from the mines?d. What is the t- critical value?e. What is the p-value?f. At α=0.05, what is the correct decision?Choose the correct answer When we perform a chi-square test for independence, the null hypothesis states that the two variables are a. independent b. related c. normally distributed d. mutually exclusive
- A medical researcher says that less than 86% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 83% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic z. (d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t test will be carried out to see whether this is the case. What conclusion is appropriate in each of the following situations? (a) n = 12, t = 1.56, ? = 0.05 Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in.Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in.Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. (b) n = 12, t = −1.56, ? = 0.05 Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in.Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in. Do not reject the null hypothesis. There is sufficient evidence…A neighborhood of 45 homes found that 75% (SD=2.1) had at least one pet. The city-wide average for neighborhoods is 71%. Find the critical value of t and the value of t we obtain (or observe) presuming a 2-tailed test. Also, calculate the effect size. Lastly, write a statement of the hypotheses with your findings.