A statistical test measures the experimental strength of evidence against the ____ hypothesis.
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A statistical test measures the experimental strength of evidence against the ____ hypothesis.
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- An advertising executive wants to determine if a new billboard placed in a city caused sales of their product to increase. To do this, he selects ten random stores that sell the product on the billboard and compares the amount sold in one business cycle before the billboard was placed to the sales of one business cycle after. If we let d=sales after−sales before, what are the null and hypotheses for a hypothesis test on the mean of the differences for the paired data in the population? Select the correct answer below: A) H0:μd=0 Ha:μd>0 B) H0:μd=0 Ha:μd<0 C) H0:μd<0 Ha:μd=0 D) H0:μd=0 Ha:μd≠0A textile mill company is investigating a new drapery yarn, which the company claims have a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis Ho: µ = 12 against H1: µ # 12, using a random sample of four specimens. What is the type I error probability if the acceptance region is 11.4 s iS 12.6? a. P(Type I Error) = 0.0082 b.n 4 specimens c. Fail to reject Ho. The mean thread elongation is equal to 12 v If a = 0.05, would we need to reject the Ho? kilograms, per significance level of 0.05 and 4 specimens collected d. Cannot determine choice of sample size | Find ß for the case in which the true mean elongation is 12.70 kilograms e. P(Type I error) = 0.0164 Find n if the company wishes to detect that the moan thread elongation is not oqual to 12 kilograms at . Reject Họ. The mean thread elongation is not 12 kilograms least 80% of the time 8.B = 0.6554 h. P(Type II Error) = 0.343) A Chi-square test can be done to test all of the following EXCEPT which of the following? If the mathematical model accurately predicts the pattern of data values observed. If the mathematical model accurately predicts the total number of values observed. If traits exhibit independence with regards to the probability of seeing their combinations in individuals in a population. If individuals from different populations have the same probability of possessing various traits. If the mathematical model accurately predicts the proportions of data values observed.
- A survey was undertaken to compare the educational background of several different generation. One generation of interest was the Millennials (those born after 1980). A sample of 650 Millennials was taken, and each was asked to report the highest level of completed education. It was found that 214 of those surveyed had completed a Bachelor's degree or higher. With 98% confidence, we estimate between ______% and _______% of all Millennials have completed a Bachelor's degree or higher. (After converting to percentages, round the limits of your interval to two decimal places.) A sample of 682 Gen Xers (those born between 1965 & 1980) was taken and they were asked the same question. Of this sample, 169 individuals had completed a Bachelor's degree or highter. With 98% confidence, we estimate between ______% and ______% of all Gen Xers have completed a Bachelor's degree or highter. (After converting to percentages, round the limits of your interval to two decimal places.)An alternate hypothesis that includes < or > is called a ___________ test.A random sample of adult males was obtained and asked whether they belonged to a fraternal organization. The results are given in the following one-way frequency table;
- An educational psychologist studies the effect of frequent testing on retention of class material. In one of the professor's sections, students are given quizzes each week. The second section receives only two tests during the semester. At the end of the semester, both sections receive the same final exam, and the scores are summarized below. Do the data indicate that testing frequency has a significant effect on performance? Use a two-tailed test with α = .01. Include the null hypothesis in symbols, critical region(s), and a conclusion about significance. Compute r2 and state the size of the effect (e.g. small, medium, large). Frequent Quizzes Two Exams n = 15 n = 15 M = 72 SS= 112 M = 68 SS= 98Which of the following statements below is incorrect about Type II error? The larger the effect size, the smaller the power of the test will be. For a given probability of type I error, the probability of type II error can be reduced by increasing the sample size. The power of a test is equal to 1-3, where represents the probability that a hypothesis test does not reject a false null hypothesis. The effect size measures the distance between the true population proportion and the value assumed for it in the null hypothesis.Which of the following is an example of a Type 2 error? Rejecting a false null hypothesis. Rejecting a true null hypothesis. Failing to reject a false null hypothesis. Failing to reject a true null hypothesis.
- A researcher selects a sample from a population with a mean of 50 and administers a treatment to the individuals in the sample. If the treatment is expected to decrease scores, what is the correct statement for the alternative hypothesis for a one tailed testA researcher carried out a two-tailed hypothesis test. Which of the following z-scores would result in the weakest evidence against the null hypothesis? O 1.10 -0.20 O-2.60 3.0A psychologist specializing counseling claims that, among all married couples, the proportion p for whom her communication program can prevent divorce 79% . In a random sample of 240 married couples who completed her program, 174 of them stayed together. Based on this sample, can we reject the psychologist's claim at the 0.1 level of significance The null hypothesis: H0: ___ The alternative hypothesis: H1: ___ The type of test statistic: (Choose one) ___ The value of the test statistic: (Round to at least three decimal places.) ______ The p-value: (Round to at least three decimal places.) _____ Can we reject psychologist’s claim that the Proportion of married couples for whom her Program can prevent divorce is a least 79%? Yes ____ or NO____