A sample of size n = 20 is collected to conduct a hypothesis test. The rejection region is given by t > 2. 2047. what is the level of significance for this test? 1.37% O 2.74% 4% O 2%
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- A random sample of 10 professional athletes produced the following data where X is the number of endorsements the player has and Y is the amount of money made (in millions of dollars). Use the 4 steps of hypothesis testing to see if the prediction is significant with a criteria of alpha=.05 on the following data. x y 0 2 3 8 2 7 1 3 5 13 5 12 4 9 3 9 0 3 4 10In each of Exercises, we have given the P-value for a hypothesis test. For each exercise, refer to Table to determine the strength of the evidence against the null hypothesis. P-value Evidence against H0 P > 0.10 Weak or none 0.05 < P ≤ 0.10 Moderate 0.01 < P ≤ 0.05 Strong P ≤ 0.01 Very strong P = 0.086.A sample of 9 measurements, randomly selected from a normally distributed population, resulted in x= 2.6, and s= 0.9 Conduct a hypothesis test to verify the claim that the population mean is greater than 2.5 . Use a=.05
- Amateur triathletes who competed in the 2019 Lake Placid Ironman were classified by age and satisfaction with the race course with the following results: 18 to 34 35 to 49 50 to 79 Satisfied 570 755 165 Dissatisfied 120 140 118 Do these data provide sufficient evidence at the 0.05 level of significance to conclude that age and satisfaction are independent? Use the Critical Value Method of Testing. In your work space below, you will need to have -1. The null hypothesis, Ho 2. The alternative hypothesis, H1 3. The expected frequencies for each table value 4. The test statistic 5. The critical value 6. The decision to accept Ho or reject HoUse the data below to test the claim that the weight loss was greater with the low fat diet compared to the low carbohydrate diet. Use a 10% level of significance. Low Fat Low Carbohydrate x¯1=3.7lbs 1=5.2lb n1=57 x¯1=2.7 lbs1=4.9lb n1=62 Identify the tail of the test. What is the P-value? Will the null hypothesis be rejected? Is the initial claim supported?The P-value for a hypothesis test is 0.06. For each of the fol-lowing significance levels, decide whether the null hypothesis should be rejected. a. α = 0.05b. α = 0.10 c. α = 0.06
- J 1 Consider the hypothesis statement to the right using a=0.01 and the data to the right from two independent samples. A) calcuate the appropriate test statistic and interpret the results b) calculate the p value and interpret the resultsThe following display from a TI-84 Plus calculator presents the results of a hypothesis test for a population mean μ.u<52 t=-4.479421 p=0.000020 x=51.87 Sx=0.21523 n=55Do you reject H0 at the a=0.10 level of significance? Question 5 options: No YesThe 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?
- 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…A statement pertaining to a repeated-measures research design t test is reported in a statistical report as follows: t(16) = 1.36, p > 0.05. The critical region for this hypothesis test was t = +2.131.TrueFalse