In statistics, the hypothesis that is formally tested by the data is the: Alternative hypothesis Null hypothesis
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- Which of the following statements are true? I. If there is sufficient evidence to reject a null hypothesis at the 10% level, then there is sufficient evidence to reject it at the 5% level. II. Whether to use a one- or two-tailed test is typically decided after the data are gathered. III. If a hypothesis test is conducted at the 1% level of significance, there is a 1% chance of rejecting the null hypothesis given that it is true. A. Statement I onlyB. Statement III onlyC. Statements I and III onlyD. None of the aboveA university reports that the cost of textbooks is at most $250. State the null and alternative hypothesis for the scenario using math symbols and words.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= 98
- A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? A. Ho: H#H2 OB. Ho: H1 H₂ H₁: H₁ H₂ H₁: H₁ H₂ D. Ho: ₁ = ₂ C. Ho: ₁ = ₂ H₁: µ₁ ‡µ₂ H₁: H₁ H₂ The test statistic, t, is . (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) ESIX n H₂ Treatment Placebo H₁ 28 2.36 36 2.61 0.96 S 0.66Compared to a z-score, a hypothesis test with a t statistic requires less information from the population. Question 22 options: TrueRecall that a test is statistically significant at a particular significance level if the null hypothesis is rejected. If a test is statistically significant at 5% level of significance, then A the null hypothesis will also be rejected at 10% level of significance. B we cannot determine if the null hypothesis would be rejected at any other level of significance. C the null hypothesis will also be rejected at 1% level of significance. D the null hypothesis will not be rejected at 1% level of significance. E the null hypothesis will not be rejected at 10% level of significance.
- Which of the following represents the correct order of a statistical analysis? Formulate a hypothesis; Gather data; Determine rejection of the null hypothesis Formulate a hypothesis; Determine rejection of the null hypothesis; Gather data Determine rejection of the null hypothesis; Gather data; Formulate a hypothesis Gather data; Formulate a hypothesis; Determine rejection of the null hypothesisHypothesis testing is a statistical method used to make inferences or decisions about population parameters based on sample data. Consider the following scenario: A researcher wants to test whether a new drug is more effective than the current standard treatment. The null hypothesis (H0) states that there is no difference in effectiveness, while the alternative hypothesis (H1) states that the new drug is more effective. A) What does a p-value represent in the context of hypothesis testing? A) The probability that the null hypothesis is true. B) The probability of observing the data, or something more extreme, if the null hypothesis is true. C) The probability that the alternative hypothesis is true. D) The threshold for rejecting the null hypothesis.Professor Stone complains that student teacher ratings depend on the grade the student receives. In other words, according to Professor Stone, a teacher who gives good grades gets good ratings, and a teacher who gives bad grades gets bad ratings. To test this claim, the Student Assembly took a random sample of 300 teacher ratings on which the student's grade for the course also was indicated. The results are given in the following table. Test the hypothesis that teacher ratings and student grades are independent at the 0.01 level of significance. Rating A B C F (or withdrawal) Row Total Excellent 14 18 16 2 50 Average 25 35 75 15 150 Poor 21 27 40 12 100 Column Total 60 80 131 29 300 Classify the problem as one of the following: Chi-square test of independence or homogeneity, Chi-square goodness of fit, Chi-square for testing ?2 or ?. Chi-square goodness of fitChi-square for testing ?2 or ? Chi-square test of independenceChi-square test of homogeneity (i) Give…
- Dreamfilms Studios boasts that its summer features are so good that at least half of all tickets sold one summer are for its films. A competing studio claims that less than half of all tickets sold are for Dreamfilms' movies. After the hypothesis test is completed, the conclusion is to fail to reject the null hypothesis. If the true percentage of tickets sold for Dreamfilms Studios' movies that summer was only 48%, was an error committed? If so, what type?Esp A college professor states that this year's entering students appear to be smarter than entering students from previous years. The college's records indicate that the mean IQ for entering students from earlier years is 110. Suppose that we want to sample a small number of this year's entering students and carry out a hypothesis test to see if the professor's statement can be supported. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. Ho: 0 H: [ OA researcher studies the effect of cognitive psychotherapy on positive self-regard. The number of positive statements made about oneself is recorded for each participant during the first meeting. After 8 weekly therapy sessions, the measures are repeated for each person. The therapist predicts that cognitive psychotherapy will increase the number of positive statements. For the following data: Before Treatment: 7, 6, 9, 5 After Treatment: 10,12,7,17 What is the null hypothesis for the study?SEE MORE QUESTIONS
