What's test statistic and the p value?
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- The data in NutritionStudy include information on nutrition and health habits of a sample of 315 people. One of the variables is VitaminUse, indicating whether a person takes a multivitamin pill regularly or occasionally or not at all. Use technology to test whether the data provide evidence that the proportion taking a vitamin pill regularly is different from 35 % given. Clearly state the null and alternative hypotheses. : : 42 : Pi : P2 :: 0.35 : 2 :: P1 : p2 :: :: r Ho: vs Hg: ::cont.... What is the level of measurement for the dependent variable? Are the samples dependent (matched) or independent? State the null and alternative hypotheses.H0: HA:Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether μ₁ > μ₂ at the α = 0.01 level of significance for the given sample data. (b) Construct a 99% confidence interval about μ₁ −μ₂. (a) Identify the null and alternative hypotheses for this test. A. Ho: M₁ µ₂. There is not sufficient suidenan at the ~-004 level of significance to conclude that ..
- Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether mu 1μ1greater than>mu 2μ2 at the alphaαequals=0.05 level of significance for the given sample data. (b) Construct a 90% confidence interval about mu 1μ1minus−mu 2μ2. Population 1 Population 2 n 26 21 x overbarx 47.2 40.5 s 4.6 11.8 (a) Identify the null and alternative hypotheses for this test. A. Upper H 0H0: mu 1μ1less than<mu 2μ2 Upper H 1H1: mu 1μ1equals=mu 2μ2 B. Upper H 0H0: mu 1μ1equals=mu 2μ2 Upper H 1H1: mu 1μ1not equals≠mu 2μ2 C. Upper H 0H0: mu 1μ1not equals≠mu 2μ2 Upper H 1H1: mu 1μ1equals=mu 2μ2 D. Upper H 0H0: mu 1μ1greater than>mu 2μ2 Upper H 1H1: mu 1μ1equals=mu 2μ2 E. Upper H 0H0: mu 1μ1equals=mu 2μ2 Upper H 1H1: mu 1μ1greater than>mu 2μ2 Your answer is correct. F. Upper H 0H0: mu 1μ1equals=mu 2μ2…Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether mu 1μ1greater than>mu 2μ2 at the alphaαequals=0.01 level of significance for the given sample data. (b) Construct a 99% confidence interval about mu 1μ1minus−mu 2μ2. Population 1 Population 2 n 24 25 x overbarx 50.8 45.9 s 4.3 11.4 (a) Identify the null and alternative hypotheses for this test. A. H0: mu 1μ1greater than>mu 2μ2 H1: mu 1μ1equals=mu 2μ2 B. H0: mu 1μ1equals=mu 2μ2 H1: mu 1μ1less than<mu 2μ2 C. H0: mu 1μ1less than<mu 2μ2 H1: mu 1μ1equals=mu 2μ2 D. H0: mu 1μ1not equals≠mu 2μ2 H1: mu 1μ1equals=mu 2μ2 E. H0: mu 1μ1equals=mu 2μ2 H1: mu 1μ1greater than>mu 2μ2 F. H0: mu 1μ1equals=mu 2μ2 H1: mu 1μ1not equals≠mu 2μ2 Find the test statistic for this hypothesis test. (Round to two decimal places as…The price X (dollars per pound) and consumption y (in pounds per capita) of beef were samples for 10 randomly selected years. The following data should be used to answer the question that follows. n = 10 Ex = 36.19 Ex² = 134.17 2.9 < x < 6.2 Ey = 774.7 Iy? = 60739.23 Exy = 2832.21 %3D Using this data, a student calculated SSy = 28.43 SSx = 3.2 SSyy = 717. Which one of %3D the following represents the equation of the regression line between price and consumption O y-hat = 25.22x -13.8 O y-hat = 25.22x +13.8 O y-hat 8.88x + 453.37 O y-hat = 8.88x +45.34
- 2. Find the quartiles for these data values: 5, 7, 7, 8, 10, 11, 12, 15, 17 OAQ₁ 7.Q₂ Q2 OB. Q₁ 7.Q₂ = 10.Q3 - 13.5 = Oc. Q₁ = 6, Q2 = 9, Q3 = 12 OD. Q₁ 7.5. Q₂ [Am] ( = 11. Q3 = 15 10.5 Q3 = 13.5Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether μµ₁ > µ₂ at the α = 0.10 level of significance for the given sample data. (b) Construct a 90% confidence interval about μ₁-12- (a) Identify the null and alternative hypotheses for this test. OA. Ho H₁ H₂ H₁: H₁ H₂ OD. Ho: H1 H₂ H₁: H₁ H₂ OB. Ho: H₁ H₂ H₁: H₁ = H₂ O E. Ho: H1 H₂ H₁: H₁ H₂ OC. Ho H₁ H₂ H₁: H₁ = H₂ OF. Ho: H₁ H₂ H₁: H₁ = H₂ n X S Population 1 Population 2 15 20 48.8 46.3 7.3 11.5Physical properties of six flame-retardant fabric samples were investigated in an article. Use the accompanying data and a 0.05 significance level to determine whether a linear relationship exists between stiffness x (mg-cm) and thickness y (mm). State the appropriate null and alternative hypotheses. O Ho: P = 0 H₂: P 0 O Ho: P #O H₂: p=0 O Ho: P = 0 H₁₂ :P #0 8.07 24.69 12.33 6.85 24.22 35.69 y 0.29 0.65 0.31 0.27 0.80 0.57 Compute the value of the sample correlation coefficient, r. Round your answer to four decimal places. r= 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 = State the conclusion in the problem context. O Fail to reject Ho. The data does not indicate that the population correlation coefficient differs from 0. Reject Ho. The data does not indicate that the population correlation coefficient differs from 0. Fail to reject Ho. The data indicates that the…
- Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ = 30; x = 0.04; a=3.13. Sample statistics: x= 28.9, n = 75 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: 30 Calculate the standardized test statistic. The standardized test statistic is - 3.04 (Round to two decimal places as needed.) D. Ho: H=30 H₂:30 OF. Ho: > 30 H₂: H=30 Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.). OA. The critical values are t OB. The critical value is.Physical properties of six flame-retardant fabric samples were investigated in an article. Use the accompanying data and a 0.05 significance level to determine whether a linear relationship exists between stiffness x (mg-cm) and thickness y (mm). O Ho: P = 0 H₂: P = 0 O Ho: P = 0 H₂:p>0 State the appropriate null and alternative hypotheses. O Ho: P = 0 Ha: P < 0 O Ho: P = 0 Ha: P = 0 X y r = 7.95 24.63 12.39 7.06 24.17 35.70 0.25 0.64 0.32 0.27 0.80 0.56 Compute the value of the sample correlation coefficient, r. Round your answer to four decimal places. 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 = State the conclusion in the problem context. O Fail to reject Ho. The data does not indicate that the population correlation coefficient differs from 0. O Reject Ho. The data indicates that the population correlation coefficient differs from 0. O Reject Ho. The data does not…Consider the following data on price ($) and the overall score for six stereo headphones tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). Brand Price ($) Score 180 74 В 150 69 95 63 70 56 70 40 F 35 28 (a) The estimated regression equation for this data is ý = 25.870 + 0.291x, where x = price ($) and y = overall score. Does the t test indicate a significant relationship between price and the overall score? Use a = 0.05. State the null and alternative hypotheses. O Ho: Bo * 0 H: Bo = 0 O Ho: B1 20 Hoi Bq < 0 O Ho: Bo = 0 Hg: Bo 0 O Ho: B1* 0 H: B, = 0 O Ho: B, = 0 H: B1 = 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? O Do not reject H. We conclude that the relationship between price ($) and overall score is significant. O Do not reject…
