A hypothesis test produces t = 2.062 for a sample of n = 25 scores. For a two-tailed test with a = .05, the correct decision is to reject the null hypothesis. O True False
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- Suppose the P-value in a two-tailed test is 0.0134. Based on the same population, sample and null hypothesis, and assuming the test statistic z is negative, what is the P-value for a corresponding left-tailed test? Select one: O a. 0.0067 O b. 0.0268 O c. 0.225 O d. 0.0184 Next pagSuppose that you want to perform a hypothesis test based on independent random samples to compare the means of two populations. For each part, decide whether you would use the pooled t-test, the nonpooled t-test, the Mann– Whitney test, or none of these tests if preliminary data analyses of the samples suggest that the two distributions of the variable under consideration are a. normal but do not have the same shape.b. not normal but have the same shape.c. not normal and do not have the same shape; both sample sizes are large.A sample is selected from a population with a mean of m = 30 and a treatment is administered to the sample. If the treatment is expected to increase scores and a t statistic is used for a one-tailed hypothesis test, then which of the following is the correct null hypothesis?
- K In a random sample of males, it was found that 23 write with their left hands and 212 do not. In a random sample of females, it was found that 58 write with their left hands and 442 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P₁ P2 H₁: P₁ P2 O D. Ho: P₁ P2 H₁: P₁ P2 Z= OB. Ho: P1 P2 H₁: P₁ P2 Identify the test statistic. -0 (Round to two decimal places as needed.) Identify the P-value. OE Ho: P1 H₁: P₁ The P-value is hypothesis. There P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? P₂ P₂ OC. Ho: P₁ SP2 H₁: P₁ P₂ OF. Ho: P1 P2 H₁: P₁ P2 the significance level of a = 0.05, so Because…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= 98In 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
- Suppose that in a random selection of 100 colored candies, 28% of them are blue. The candy company claims that the percentage of blue candies is equal to 24%. Use a 0.10 significance level to test that claim. H: p>U.24 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Reject Ho- There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24% O B. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24% OC. Fail to reject Hn. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24% O D. Reject Ho. There is sufficient…Let p be the propotion of seniors who will play bingo. Based on a random sample of 175 seniors, 103 of them have said that they will play bingo. Using this data, test the null hypothesis that p=.5 versus the alternative that p>.5 at the alpha = .1 level. What is the p-value and conclusion of this test? Should you reject or fail to reject the hypothesis?In a hypothesis test, the researcher does not reject the null hypothesis at 5% level of significance. Which of the following conclusions necessarily follows? The p-value of the test was less than 10%, O None of them. O The researcher performed a two-tailed test with 10% significance level. O The null hypothesis would not have been rejected at 1% level of significance. The p-value of the test was less than 3%.
- A police office claims that the proportion of people wearing seat belts is less than 65%. To test this claim, a random sample of 200 drivers is taken and its determined that 126 people are wearing seat belts. The following is the setup for this hypothesis test: Ho :p-0.65 Ha : p < 0.65 In this example, the p-value was determined to be 0.277 come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) Select the correct answer below: O The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to support the claim The decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to support the claim12% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of those who live in the inner city have sleep apnea. Of the 372 people from the inner city surveyed, 30 of them suffered from sleep apnea. What can be concluded at the level of significance of a = 0.10? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v Select an answer v (please enter a decimal) H1: ? v Select an answer v (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 12% at a = 0.10, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is…Babies and younger boys are more likely to be diagnosed with peanut allergies. To test this claim a group of researchers tested the allergies among a group of boys and girls aged below 18 years. A total of 540 kids were selected randomly and asked to eat a small amount of peanut. Group n x Boys 280 120 Girls 260 90 Do boys have a higher chance to be diagnosed with a peanut allergy? Write the appropriate null and alternative hypotheses. ***p1 represent boys and p2 represent girls.