f. What is the p-value associated with the hypothesis test? O 0.110 O 0.181 0.015 O 0.013
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- Q. 20 When do you call a test uniformly most powerful?represents the summary statistics for 44 blue catfish caught at this reservoir, and a 0.05 significance level to test the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. n = 44; = 40.76 pounds; s = 5.12 pounds a) kdentify the null and alternative hypotheses? Ho: =V 40 H.:p>v40 b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed O right-tailed O two-tailed c) Identify the appropriate significance level. 0.05 d) Calculate your test statistic. (Round your final answer to two decimal places.) e) Calculate your p-value. (Round your final answer to four decimal places.) f) Do you reject the null hypothesis? O We reject the null hypothesis, since the p-value is less than the significance level. O We reject the null hypothesis, since the p-value is not less than the significance level. O We do not reject the null hypothesis, since the p-value is less than the significance level. O We do not reject the…30
- You are conducting a multinomial hypothesis test (a 0.05) for the claim that all 5 categories are equally Likely to be selected. Complete the table. Observed Expected Frequency Frequency Category A 11 8 D 25 E 19 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the nullAssume that the null hypothesis is mean male GPA minus mean Female GPA less than or equal to zero. What is the correct p-value07 A statistics professor wants to determine whether the average grade on Assignment 1 differs significantly from 23 (A average). a) State the null and alternative hypotheses. b) Based on the t-test in the following table 1, make a decision regarding the null hypotheses. c) Explain the results observed in (b). assign1 assign1 t -4.944 N dif 15 14 Mean 21.0333 Std. Deviation 1.54072 Test Value = 23 Mean Sig. (2-tailed) Difference .000 -1.96667 Table 1: T-test Std. Error Mean 39781 95% Confidence Interval of the Difference Lower Upper -2.8199 -1.1134
- Suppase there is a claim that a certaln population has a mean, u, that is less than 9. You want to test this clalm. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis, Hy and the alternative hypothesis, H, as follows. Ho p29 Suppose you also know the following information. The value of the test statistic based on the sample is -1.995 (rounded to 3 decimal places). The p-value is 0.023 (rounded to 3 dedmal places). (a) Complete the steps below for this hypothesis test. O One-tailed o Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. Step 4: Enter the p- value. (Round to 3 decimal places.) (b) Based on your answer to part (a), which statement below is true? Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less…The Pavalue for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a = 0.01, (b) a = 0.05. and (c)g=0 10 P=0.0816 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Fail to reject Ho because the P-value, 0.0816, is less than a = 0.01. O B. Fail to reject H, because the P-value, 0.0816, is greater than a= 0.01. OC. Reject H, because the P-value, 0.0816, is less than a=0.01. O D. Reject Ho because the P-value, 0.0816, is greater thana= 0.01. (b) Do you reject or fail to reject H, at the 0.05 level of significance? O A. Reject Ho because the P-value, 0.0816, is less than a =0.05. O B. Fail to reject H, because the P-value, 0.0816, is greater than a= 0.05. OC. Reject H, because the P-value, 0.0816, is greater than oa 0.05. O D. Fail to reject Ho because the P-value, 0.0816, is less than a = 0,05. (c) Do you reject or fail to reject Ho at the 0.10 level of significance? O A. Reject Ho because the…The p-value for a hypothesis test turns out to be 0.00956. At a 3% level of significance, what is the proper decision? O Reject Ho O Fail to reject Ho