What is the value of the test statistic?
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3a. Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for staff nurses in Tampa are lower than for those in Dallas. Use α=0.05. Let Tampa be population 1.
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What is the value of the test statistic?
Given : n1=60 , n2=60 , X1-bar=51900 , X2-bar=53200 , s1=6000 , s2=6000 ,α=0.05
Our aim is to the value of the test statistic.
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- Suppose are running a study/poll about the proportion of women over 40 who regularly have mammograms. You randomly sample 118 people and find that 98 of them match the condition you are testing.Suppose you have the following null and alternative hypotheses for a test you are running:H0:p=0.8H0:p=0.8Ha:p>0.8Ha:p>0.8Calculate the test statistic, rounded to 3 decimal placesSuppose the present success rate in the treatment of a particular psychiatric disorder for the relevant population is known to be .73 (73%). A research group hopes to demonstrate that the success rate of a new treatment will be better than this standard. Use the letter p to represent the success rate of the new treatment. Write null and alternative hypotheses for p. Ho: p|? v H2: p? v aa. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: uv (Please enter a decimal) c. The test statistic z v (please show your answer to 3 decimal places.) %3D d. The p-value = (Please show your answer to 4 decimal places.) %3D e. The p-value is> va f. Based on this, we should fail to reject vthe null hypothesis. g. Thus, the final conclusion is that ...
- е. Sample region 6. Question: In a hypothesis test, what does the values of T(0) signify? a. Smallest level of significance for rejection of Null Hypothesis. b. Largest level of significance for rejection of Null Hypothesis. c. Smallest level of significance for acceptance of Null Hypothesis d. Largest level of significance for acceptance of Null Hypothesis 31.18 Cats on YouTube. Suppose you want to estimate the percentage of videos on YouTube that are cat videos. It is impossible for you to watch all videos on YouTube so you use a random video picker to select 1000 videos for you. You find that 2% of these videos are cat videos. Determine which of the following is an observation, a variable, a sample statistic (value calculated based on the observed sample), or a population parameterIn case of hypothesis testing in places where population variances are unknown and sample size is large (nl and n22 30), sample variances can be a good approximation of population variances. Which best describe this statement? Select one: O a. None of the choices O b. The statement is true c. The statement is false O d. Not enough data to support the statement O e. The statement is neither true nor false
- 3. On the average 35 % of the people afflicted with a certain disease die from it. Under a new treatment only 22% out of 200 patients die from it. Using a 0.05 level of significance, ca we say that the new treatment is effective?Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
- Suppose your null hypothesis is that engineering majors earn more than $80,000. Further, researchers collect and analyze sample data that leads them to fail to reject this null hypothesis. However, in the population, it is true that engineering majors earn less than $80,000. What would we call this error? a. Type I error b. Type II error c. No error occured d. Error equal to the level of significanceThe U.S. Department of Labor stated that the national unemployment rate was 4.9%. Of a sample of 90 people in one city, 5.2% were unemployed. Can the city conclude that their unemployment rate is the same as the national average? Do we reject the null hypothesis? (Answer on Excel)2. Consider the null hypothesis Ho:p = 0.18 indicates that the proportion of fat content of the burgers being sold in the canteen is 18% or less. Which of the following is true about the type l and type II error? A. A type I error occurs when the actual proportion is about 18% or more, but the null hypothesis is rejected. A type II error when the actual proportion is about18% or less but the null hypothesis is rejected. B. A type I error occurs when the actual proportion is about 18% or less, but the null hypothesis is rejected. A type II error occurs when the actual proportion is about 18% or more, but the null hypothesis is accepted. C. Atype I error occurs when the actual proportion is about 18% or more, but the null hypothesis is accepted. A type II error occurs when the actual proportion is about 18% o less, but the null hypothesis is rejected. D. AtypeIerror occurs when the actual proportion is about 18%, and the null hypothesis is rejected. A type II error occurs when the actual…