Consider a large-sample level 0.01 test for testing Ho: P = 0.2 against Ha: p > 0.2. USE SALT (a) For the alternative vělue p = 0.21, compute (0.21) for sample sizes n = 400, 900, 16,900, 40,000, and 90,000. (Round your answers to four decimal places.) ß n 400 900 16,900 40,000 90,000 (b) For p = x/n = 0.21, compute the P-value when n = 400, 900, 16,900, and 40,000. (Round your answers to four decimal places.) n 400 900 16,900 40,000 P-value
Q: P(z> -1.062) = (Round to four decimal places as needed.)
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- In a test of H0: p = 0.4 against H1: p ≠ 0.4, a sample of size 100 produces Z = 1.28 for the value of the test statistic. Thus the p-value (or observed level of significance) of the test is approximately equal to:In a survey of 460 drivers from the South, 397 wear a seat belt. In a survey of 340 drivers from the Northeast, 281 wear a seat belt. At alpha equals 0.06 , can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e).Listed below are the lead concentrations in mu g/g measured in different traditional medicines. Use a 0.10 significance level to test the claim that the mean lead concentration for all such medicines is less than 20 mu g/g. Assume that the sample is a simple random sample. 3.5 15.5 16.5 15 13 12.5 21.5 16.5 22.5 16.5 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? A. Upper H 0 : mu greater than20 mu g/g Upper H 1 : mu less than20 mu g/g B. Upper H 0 : mu equals20 mu g/g Upper H 1 : mu less than20 mu g/g C. Upper H 0 : mu equals20 mu g/g Upper H 1 : mu not equals20 mu g/g D. Upper H 0 : mu equals20 mu g/g Upper H 1 : mu greater than20 mu g/g
- Consider the test of H0: sigma^2 = 19 against H1: sigma^2 > 19. What is the critical value for the test statistic chi^2_0 for the significance level alpha = 0.05 and sample size n = 19? a.)( chi^2_0 =28.87) b.)( chi^2_0 =9.39) c.)( chi^2_0 =31.53) d.)( chi^2_0 =10.12) e.)( chi^2_0 =30.14)Given a critical t score of -2.33 and t observed being -2.01, the decision you should make is reject Ho retain Ho conduct another test using a larger sample size retain HaIn a comparison of two methods for the determination of chromium in rye grass, the following results were obtained: Method A, mean(mg/kg Cr)=1.48 Standard deviation(mg/kg Cr)=0.28 n= 6 Method B, mean (mg/kg Cr)=2.33 Standard deviation(mg/kg Cr)=0.31 n=10 Is the precision of these two methods significantly different? Do these two methods give results with means which differ significantly? a=0.05
- Consider the following sample observations on stabilized viscosity of asphalt specimens. 2,762 2,907 3,012 2,813 2,876 Suppose that for a particular application, it is required that true average viscosity be 3,000. Does this requirement appear to have been satisfied? State the appropriate hypotheses. (Use ? = 0.05.) H0: ? > 3,000 Ha: ? < 3,000 H0: ? = 3,000 Ha: ? ≠ 3,000 H0: ? ≠ 3,000 Ha: ? = 3,000 H0: ? < 3,000 Ha: ? = 3,000 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = What can you conclude? Reject the null hypothesis. There is sufficient evidence to conclude that the true average is viscosity differs from 3000.Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average is viscosity differs from 3000. Reject the null hypothesis. There is not sufficient evidence to conclude that…In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. Brand x y z 91 100 82 100 96 89 89 95 89 88 93 80 #1) At a 0.05 level of significance, does there appear to be a difference in the ability of the brands to absorb water? State the null and alternative hypotheses: A) H0: ?x ≠ ?y ≠ ?zHa: ?x = ?y = ?z B) H0: ?x = ?y = ?zHa: ?x ≠ ?y ≠ ?z C) H0: At least two of the population means are equal.Ha: At least two of the population means are different. D) H0: ?x = ?y = ?zHa: Not all the population means are equal. E) H0: Not all the population means are equal.Ha: ?x = ?y = ?z #2) Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = #3) State your conclusion. A) Reject H0. There is…In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. Brand x y z 91 100 82 100 96 89 89 95 89 88 93 80 #1) At a 0.05 level of significance, does there appear to be a difference in the ability of the brands to absorb water? State the null and alternative hypotheses: A) H0: ?x ≠ ?y ≠ ?zHa: ?x = ?y = ?z B) H0: ?x = ?y = ?zHa: ?x ≠ ?y ≠ ?z C) H0: At least two of the population means are equal.Ha: At least two of the population means are different. D) H0: ?x = ?y = ?zHa: Not all the population means are equal. E) H0: Not all the population means are equal.Ha: ?x = ?y = ?z #2) Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = #3) State your conclusion. A) Reject H0. There is…
- The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?Use the effect size 0.47 to answer the following regarding a test of H0: mu1-mu2= 0 (using the .05 level, two-tailed) What would bethe value of delta (δ) ifthe sample sizes were n1= 100 and n2 = 100?A researcher conducts a two-year study comparing the number of cavities in a group of 30 randomly selected young children from the community before and after the application of fluoride to test if there is a decrease in the number of cavities. This is an example of a/an: Independent-samples t test or Dependent-samples t test?