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- Persons who visit the restroom of a certain fast-food outlet were asked to state their opinion of the quality of the restroom facilities, The following tables show the responses rom a sample of 100 persons. Gender of Respondents TOTALS MALE FEMALE Quality of facilties Above Average 8 7 15 Average 26 24 50 Below Average 7 28 35 Totals 41 59 100 A X2 test is carried out to determine whether there is an association between the gender of persons and their opinion. Calculate the expected value for Male and below average?A fair coin is tossed until heads appear for the third time. Let the random variable X be the number of tails shown up to that point. What is the p.m.f of X? What are the expected value and standard deviation of X?Test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance. At the 0.025 significance level, test the claim that the four brands have the same mean if the following sample results have been obtained. Brand A Brand B Brand C Brand D 21 24 22 17 20 21 18 25 27 29 35 18 23 25 22 25 26 29 29 21 26 36 37
- The predictive distribution pynewy) for a new observation Ynew takes into account the posterior uncertainty of the parameters. True FalseIs a statistics class' delivery type a factor in how well students do on the final exam? The table below shows the average percent on final exams from several randomly selected classes that used the different delivery types. Face-to-Face Hybrid Online 85 81 100 100 89 82 66 56 99 57 74 98 97 55 88 58 60 75 84 75 55 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.01. For this study, we should use ANOVA Your friend Stephanie helped you with the null and alternative hypotheses...H0: μ1=μ2=μ3H1: At least one of the mean is different from the others. The test-statistic for this data = (Please show your answer to 3 decimal places.) The p-value for this sample = (Please show your answer to 4 decimal places.)com/alekscgi/x/Isl.exe/1o_u-lgNslkr7j8P3jH-IQirVmXK7o_zpyaAMkjWKJh-pmWc8lyVwdR5jMFrpEk1OKo2aqYNpEXQ2W4CqM9coDe - Arts and Sc... Wabbitemu TI Calc... Mail - Jones, Rashe... O CONIPIDENCE INTERVALS AND HYPOTHESIS TESTNG Hypothesis test for a population proportion Ras A hospital claims that the proportion, P, of full-term babies born in their hospital that weigh more than / pounds is 46%, In a random sample of 155 babies born in this hospital, 56 weighed over / pounds. Is there enough evidence to reject the hospital's claim at the 0.1 level of significance? Perform a two-tailed test. Then fill in the table below. Carry termediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: The alternative hypothesis: The type of test statistiL: Choose onel v 曲 The value ot the test statistic: (Round to at least three decimal places) decimal ciace) Can se reeL the dei at treprartion of fu…
- Is a statistics class' delivery type a factor in how well students do on the final exam? The table below shows the average percent on final exams from several randomly selected classes that used the different delivery types. Face-to-Face Hybrid Online 88 92 80 89 97 84 94 68 100 78 90 61 79 99 72 65 87 85 74 83 70 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of a = 0.01. Ert = T = I1 :H H1: At least two of the means differ from each other. 1. For this study, we should use Select an answer v 2. The test-statistic for this data = (Please show your answer to 3 decimal places.) 3. The p-value for this sample = (Please show your answer to 4 decimal places.) 4. The p-value is Select an answer 5. Base on this, we should Select an answer 6. As such, the final conclusion is that... | hypothesis O There is insufficient evidence to support the claim that…Test the claim that a six-sided dice is fair at the 0.05 significance level. Complete the table. Round all answers to three decimal places. Number rolled on dice ObservedFrequency ExpectedFrequency (O−E)2E(O-E)2E 1 25 2 24 3 10 4 9 5 7 6 6 H0H0: p₁ = p₂ = p₃ = p₄ = p₅ = p₆H1H1: at least one is different Original claim = Select an answer H₀ H₁ Enter the critical value, along with the significance level and degrees of freedom χ2χ2(αα,df) below the graph. (Graph is for illustration only. No need to shade.) X2Χ2(,) = (Round to three decimal places.) Test Statistic = (Round to three decimal places.)p-value=(Round to four decimal places.) Decision: Select an answer Fail to reject the null hypothesis Reject the null hypothesis Accept the alternative hypothesis Accept the null hypothesis Conclusion: Select an answer There is not sufficient evidence to warrant rejection of There is not enough evidence to support There is sufficient…A researcher wants to know whether a coin used to decide the order of play during a basketball game is weighted toward heads (one-tailed test). He tosses the coin 20 times. If the critical value is 15, and he flips the coin and gets 18 heads, he would______________. (hint: Critical value is a point on the test distribution that is compared to the obtained statistic to determine whether to reject the null hypothesis.) retain the null hypothesis, suggesting that the coin is NOT biased towards heads. reject the null hypothesis, suggesting that the coin is biased towards heads.
- Knowledge of this type of distribution allows us to construct a confidence interval for the ratio of two variances. O F-distribution O Z-distribution O None of the Choices O T-distribution O Uniform distributionA hospital wants to determine if the type of treatment for pneumonia is a factor in recovery time? The table below shows the number of days to recovery for several randomly selected pneumonia patients that had various types of treatment. Sent Home With Medicine A Few Hours in the Hospital Overnight Hospital Stay 14 21 17 12 22 7 16 11 13 27 10 19 15 8. 10 19 16 4 23 24 19 16 8 18 12 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of a = 0.05. Ho: µ1 = µ2 = 43 H1: At least two of the means differ from each other. 1. For this study, we should use Select an answer O 2. The test-statistic for this data = (Please show your answer to 3 decimal places.) 3. The p-value for this sample = (Please show your answer to 4 decimal places.) 4. The p-value is Select an answer 5. Base on this, we should Select an answer O hypothesis 6. As such, the final conclusion is…