Find the value of the standard score, z, and determine whether to reject the null hypothesis at a 0.01 significance level. Is the alternative hypothesis supported Ho: μ = 19.1 meters, H₂: μ# 19.1 meters, n=144, x = 18.4 meters, o = 1.4 meters
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- Find the P-value that corresponds to the given standard score, and determine whether to reject the null hypothesis at the 0.10 significance level. Is the alternative hypothesis supported? z=−1.2 for H0:μ=25 centimeters and Ha:μ<25 centimeters the p value is ?Suppose a company claims that its market share is less than 16 percent, on average. Several of coworkers do not believe this, so a director decides to do a hypothesis test, at a 1% significance level, to persuade them. He conducts 21 surveys, collects the proper data, and works through the testing procedure: H0: μ≥16; Ha: μ<16 x¯=15.8 σ=1.8 α=0.01 (significance level) The test statistic is z0=x¯−μ0σn√=15.8−161.821√=−0.51 The critical value is −z0.01=−2.33. Conclude whether to reject or not reject H0, and interpret the results. Select the correct answer below: Reject H0. At the 1% significance level, the test results are not statistically significant and at best, provide weak evidence against the null hypothesis. Reject H0. At the 1% significance level, the data provide sufficient evidence to conclude that the mean market share is less than 16 percent. Do not reject H0. At the 1% significance level, the test results are not statistically significant…The test statistic of z = -2.27 is obtained when testing the claim that p < 0.32 Part A: using a significance level a= 0.10, find the critical value(s)
- A sample of 10 male and 10 female students were surveyed and their weights were recorded. The results are summarized in the table. Test for the hypothesis that the weight of female students is less than the weight of male students, at a=0.05. Male Female 70 55 62 56 72 55 69 65 54 50 73 50 83 46 93 47 72 104 74 49 a. What are the null and alternative hypotheses?b. What is the critical value? (4 decimal points)c. What is the test statistic? (4 decimal points)d. Reject or accept null hypothesis?A nationwide study of undergraduate students reported that the mean number of drinks consumed per week during the spring semester is 7.96. The mean number of drinks consumed per week at USC is 7.64 (s.d.=2.55, N=412 Health services is concerned that USC students are consuming significantly more alcohol per week than the national average. Using an alpha level of .05, Is there sufficient evidence to be concerned? Be sure to select the correct critical value for the alternative hypothesis, and then use this evidence to make your conclusionElsa is using a one-sample ?‑test with a sample size of 11 to test the null hypothesis, ?0:?=6, against the alternative, ?1:?>6. She requires her results to be statistically significant at a significance level of ?=0.05. What is the minimum critical value of ? that rejects this null hypothesis? Give your answer precise to three decimal places. ?=
- The test statistic of z = -3.32 is obtained when testing the claim that p < 0.19. Using the significance level a= 0.10 find the critical value’sUsing the z table (Table E), find the critical value (or values) for each of the following significance levels in conducting a hypothesis test. 0.01, left-tailed test 0.10, two-tailed test. 0.01, right-tailed test. 0.04, left-tailed test 0.02, right-tailed test 0.02, two-tailed testIn 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…Formulate the null and alternative hypothesis and identify the type of test. Tge manufacturer if a certain brand of cigarettes claims that the average nicotine cpntent does not exceed 2.5 mg. State the Ho and H1 in testing and determine what type of test to be utikized.Use the calculator displays to the right to make a decision to reject or fail to reject the null hypothesis at a significance level of α=0.05. Z-Test Z-Test Inpt: Data Stats μ≠50 μ0:50 z=−1.40859042 σ:5.25 p=0.15895631 x:48.75 x=48.75 n:35 n=35 μ: ≠μ0 <μ0 >μ0 Calculate Draw Choose the correct answer below. A. Since the P-value is greater than α, reject the null hypothesis. B. Since the P-value is less than α, reject the null hypothesis. C. Since the P-value is less than α, fail to reject the null hypothesis. D. Since the P-value is greater than α, fail to reject the null hypothesis.