7. Refer to the Bayer Aspirin problem: a) Suppose the hypothesis-testing problem was changed to a one-tailed test. How would the null hypothesis be written symbolically if it read, "The population mean is equal to or greater than
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- 1A. State the null and research hypothesis 2A. Make a decision based on the information provided 3A. State the type of error that may exist under the condition.1. The OutputViewerwill return a table. The test statistic(z-score)is labeled “t”, and the p-value is labeled “Sig (2-tailed).” Note that this is a one-sided test (because the alternative hypothesis is a greater than hypothesis), and that SPSS gives the two-sided p-value. How do we find the one-sided p-value from the given two-sided-value? Report the test statistic and the correct p-value. 2. Verify your test statistic(using summary statistics from a previous step, hint: descriptives)and p-value using an equation and a probability table. 3. At the .05 significance level, what decision do you make?3)Given that the alternative hypothesis is true, a type II error could occur if: a.We fail to reject the null b.We incorrectly calculate the test statistic c.We reject the null d.We incorrectly calculate the p value
- 2. Mr. Bates wants to compare the midterm scores of his students who took the course during the fall semester versus the spring semester. Here is the data: Fall 89 86 64 91 92 94 87 83 86 90 74 59 87 97 87 Spring 76 70 82 94 76 66 72 51 75 97 74 81 85 96 74 Can he say that his fall students scored better than his spring students? (Use a = .10) Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision: Sentence:In Chapter 17 Data Set 5, you will find entries for two variables: age category (young, middle-aged, and old) and strength following weight training (weak, moderate, and strong). Are these two factors independent of one another? Strength Weak Moderate Strong Age Young 12 18 22 Middle 20 22 20 Old 9 10 5 What is the null hypothesis in words? (You will need to get this from lecture and/or the lecture notes. It is not covered in your text). What is the alternative hypothesis in words? (See note in a. above) What is your degrees of freedom for the test? How did you arrive at this answer? Based on c. above and using an alpha =.05, what is the critical value for the test? Use PSPP/SPSS to calculate the Chi Square value. Use the instructions on pages 304-305. Copy/paste the output table. (result in the pictures) What is the Chi Square value? What is the p-value? Based on f., do…Homser Lake, Oregon, has an Atlantic salmon catch-and-release program that has been very successful. The average fisherman's catch has been ? = 9.0 Atlantic salmon per day. Suppose that a new quota system restricting the number of fishermen has been put into effect this season. A random sample of fishermen gave the following catches per day:12 6 11 12 5 0 27 8 7 6 3 12 12 I need help with (b) and the value of the sample test statistic
- I personally have used statistics in trying to challenge the reliability of drug testing results. Suppose the chance of a mistake in the taking and processing of a urine sample for a drug test is just 1 in 100. And your client has a "dirty" (i.e., positive) test result. Only a 1 in 100 chance that it could be wrong? Not necessarily. If the vast majority of all tests given-say 99 in 100-are truly clean, then you get one false dirty and one true dirty in every 100 tests, so that half of the dirty tests are false. Define the following events as: TD = TC = D = event that the person tested is actually dirty C = event that the person tested is actually clean (a) Using the information in the quote, find the values of each of the following. event that the test result is dirty event that the test result is clean (i) P(TD|D) (ii) P(TDIC) (iii) P(C) (iv) P(D) X X (b) Use the law of total probability to find P(TD). (c) Use Bayes' rule to evaluate P(C|TD). Xif Amy Cuddy and her research team originally established a sample size of n=200 (100 in each group) and then discovered that 86% of the high-power group (86 of 100) took a gambling risk while 60% of the low-power group (60 of 100) took the risk, then the p-value would have been much lower than that This p-value would have been less sensitive and would have provided stronger evidence for the researcher's hypothesis. State the p-value, rounding to 5 decimal places.Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.
- The Big Black Bird Company produces fiberglass camper tops. The process for producing the tops must be controlled so as to keep the number of dimples low. When the process was in control, the defects shown to the right were found in 10 randomly selected camper tops over an extended period of time. a. Assuming 10 observations are adequate for this purpose, determine the three-sigma control limits for dimples per camper top.You wish to test the following claim (H.) at a significance level of a = 0.005. You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample - 19.1 from the first population. 7.1 from of size ni 23 with a mean of a1 You obtain a sample of size n2 the second population. 86.6 and a standard deviation of s1 20 with a mean of r2 96.5 and a standard deviation of s2 = a. What is the test statistic for this sample? test statistic = Round to 3 decimal places. b. What is the p-value for this sample? For this calculation, use p-value Use Technology Round to 4 decimal places.The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514.1 SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree. College Grads High School Grads 501 471 442 492 534 533 580 478 634 526 479 425 554 426 486 485 534 515 528 390 556 594 524 535 481 464 592 453 (a) Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parents attained a…