Using P-value approach, the statement below will be used when the null hypothesis and alternative hypothesis are: 2xP(t 2 |t*|) Ho: μ = μο Hai με μο Ο Hai H = μο Ho: μ < μο Ο Ηο: μ = μο Ha: H > Μο Hg: μ = μο Ho: μ > μο Ο Ηο: μ = μο Ha: μ # μο Ha: μ = μο Ho: μ # μο
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- For each of the following scenarios, identify: the population of interest, the outcome variable being measured on each observational unit, whether the outcome variable being measured is categorical or quantitative/Continuous, the parameter of interest, define both in words and using the appropriate statistical symbol (π, π1 -π2, µ, µ1 - µ2, or µd), and the null and alternative hypotheses, written in correct statistical notation (not in words) Name the hypothesis test you would use. For example, some tests we have learned are: one sample t-test of the population mean one sample z-test of the population proportion independent two-sample pooled t-test for the difference between population means independent two-sample unpooled z-test for the difference between population means Paired t-test for 2 dependent samples independent two-sample z-test for the difference between population proportions a) We wish to assess whether there is a relationship between bone mineral density and…Consider the following table in reference to a hypothesis test: Ho True Ho false (1) (3) Accept Ho Reject Ho (2) (4) A Type Il error occurs when entry (1) is made. 1) True 2) FalseA researcher believes that the average distance people live less than five miles from their favorite restaurant. If she wanted to test this hypothesis, what would be the null and alternative hypotheses for her hypothesis test? H0: p < 5H1: p ≥ 5 H0: p = 5H1: p ≥ 5 H0: µ < 5H1: µ ≥ 5 H0: µ = 5H1: µ < 5 None of the above
- A doctor recorded the number of miles walked each day by patients over age 60 and the number of doctor visits in a year for 40 patients. The resulting data were used to conduct a hypothesis test to determine whether there is a linear relationship between the number of miles walked and the number of doctor visits. What are the correct hypotheses for the test?If the critical t is ±1.796 and the obtained t is -2.09, what decision would you make regarding the null hypothesis?Directions: Perform an analysis of variance (ANOVA) to determine if the differe rates in African, Asian and Middle Eastern countries is statistically significant. 1. Click on the Data button below to display the data. Copy the data into a and click the Data button a second time to hide it. Data Africa Asia MiddleEast 73 178.6 14 138 116 108.1 69 129 72 77 30 11.7 45.4 7.1 42 140 89 16.6 100 73 47 145 23 38 93 22 74 71 66 75 81 129 26 132 104.7 83 42 143 6.5 131 20.4 103 25 157 65 130 76 104 118 49 103 110 84 83 63 2. Choose the correct null and alternative hypotheses.
- Let Xi NcO,1) and n =2 auel T=X,+ Xz Show that Tis a %3D Sufficieacy stanslic Sufficieney Statistic.Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correctsymbol (µ, p, Η) for the indicated parameter. An entomologist writes an article in a scientific journalwhich claims that fewer than 16 in ten thousand male fireflies are unable to produce light due to agenetic mutation. Use the parameter p, the true proportion of fireflies unable to produce light.Exercise B Directions: For each pair of null and alternative hypotheses, determine whether the set is a valid set of hypotheses, write Y for yes and N for no. Question Null Alternative Valid? (Y/N) number Hypothesis Hypothesis 1 Ho: H = 36 H1: µ # 36 2 Ho: T = .45 H1: M #.45 Ho: X = 27 H4: X # 27 3. Ho: n2 11 H1: AS 11 Họ: u> 47 H1: µS 47 Họ: p = .70 H1: p*.70 Họ: µ2 98 H1: µ.44 Ho: X < 58 H: X < 58 6.
- If the results of the test with the following hypotheses are statistically significant, we have found evidence that: Hypotheses: Ho :H1 = H2 Ha:H1>H2 Hi = H2 X1H2 X1 # X2 X1>X2 HidQ 3Q 20 - dt 100-4t dQ 20 dt 100-t dQ 4Q 100 dt 600 t OP O dt 600 100-4t dQ dt 2Q 50+t 6 - %3D 4Q dQ dt 6. |3D RAD 100-tA test is made of the hypotheses Ho: μ≤ 12 versus H₁ : µ> 12. For each of the following situations, determine whether the decision was correct, a type I error occurred, or a type II error occurred. a. μ = 10, Ho is rejected. b. μ = 12, Ho is not rejected. c. μ = 14, Ho is not rejected. d. μ = 16, Ho is rejected.SEE MORE QUESTIONS