In a hypothesis test, you conclude the result is statistically significant, and we could reject the null hypothesis if p_value ≤ αα p_value > α
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In a hypothesis test, you conclude the result is statistically significant, and we could reject the null hypothesis if
- p_value ≤ αα
- p_value > α
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- 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 110.4. 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 H0 and the alternative hypothesis H1 that we would use for this test. H0= H1=Please solve below all questions: In a random sample of 100 registered voters, 54 said that they might vote for Candidate A. Test theresearch hypothesis that Candidate A’s approval rating is greater than 50% against the null hypothesisthat it is 50%, with α=0.05.(a) Check the assumption for the hypothesis testing.(b) State the null hypothesis and alternative hypothesis.A private and a public university are located in the same city. For the private university, 1043 alumni were surveyed and 654 said that they attended at least one class reunion. For the public university, 809 out of 1324 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant? (Use α=0.05) a) Reject the null hypothesis which states there is no difference in the proportion of alumni that attended at least one class reunion in favor of the alternate which states there is a difference in the proportions. b) Fail to reject the null hypothesis. There is not enough evidence to conclude that there is a difference in the proportions. c) There is not enough information to make a conclusion.
- An institute conducted a clinical trial of its methods for gender selection. The results showed that 187 of 338 babies born to parents using a specific gender-selection method were boys. Use the sign test and a 0.01 significance level to test the claim that the method has no effect on the likelihood of a boy. Let p denote the population proportion of baby boys. Ignore the possibility of the method decreasing the likelihood of a boy. What are the null and alternative hypotheses? OA. Ho:p>0.5 H₁: p=0.5 OC. Ho: p=0.5 H₁: p20.5 B. Ho: p=0.5 H₁: p > 0.5 D. Ho: p=0.5 H₁: p=0.5 Find the test statistic. Test statistic = (Round to two decimal places as needed.)Increasing numbers of businesses are offering child-care benefits for their workers. However, one union claimsthat more than 85% of firms in the manufacturing sector still do not offer any child-care benefits to theirworkers. A random sample of 490 manufacturing firms is selected and asked if they offer child-care benefits. Suppose the P-value for this test was reported to be p = 0.1070. Use ? = 0.10. A) Hypothesis: Ho : Ha :B) Decision about Ho based on the statistic.C) Conclusion about the problem statement.You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 61% at a significance level of αα = 0.025. According to your sample, 32 out of 54 potential voters prefer Candidate A. For this study, we should use Select an answer 2-SampTTest 2-PropZInt χ²GOF-Test 1-PropZTest T-Test 2-SampTInt 2-PropZTest χ²-Test 1-PropZInt ANOVA TInterval The null and alternative hypotheses would be: H0H0: ? p μ Select an answer > < = ≠ (please enter a decimal) H1H1: ? μ p Select an answer < > = ≠ (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is Select an answer less than (or equal to) greater than αα Based on this, we should Select an answer accept reject fail to reject the null hypothesis. As such, the final conclusion is that ... The sample data suggest t
- The manufacturer of a new antidepressant claims that, among all people with depression who use the drug, the proportion p of people who find relief from depression is at least 65%. A random sample of 170 patients who use this new drug is selected, and 100 of them find relief from depression. Based on these data, can we reject the manufacturer's claim at the 0.1 level of significance? State the null hypothesis H0 and the alternative hypothesis H1 Find the z test value Find the p-value Can we reject the claim that the proportion of people who find relief from depression using the new antidepressant is at least 65%? Yes or No?Imagine you are doing a Related-Samples t-test, and you are on Step Two of the hypothesis test. The sample of difference scores that you calculated is -1, -1, -3, +2, 0, -4. If you are doing the test with α = .01, and two tails, what would he correct t-critical be?Previously, 4% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than 4% today. She randomly selects 140 pregnant mothers and finds that 2 of them smoked 21 or more cigarettes during pregnancy. Test the researcher's statement at the a = 0.1 level of significance. What are the null and alternative hypotheses? = 0.04 versus H4: p < 0.04 (Type integers or decimals. Do not round.) Ho: P Because npo (1-Po) = < 10, the normal model may not be used to approximate the P-value. (Round to one decimal place as needed.)
- A private and a public university are located in the same city. For the private university, 1042 alumni were surveyed and 655 said that they attended at least one class reunion. For the public university, 804 out of 1317 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant? (Use α=0.05) a) Reject the null hypothesis which states there is no difference in the proportion of alumni that attended at least one class reunion in favor of the alternate which states there is a difference in the proportions. b) Fail to reject the null hypothesis. There is not enough evidence to conclude that there is a difference in the proportions. c) There is not enough information to make a conclusion.If the p-value is very large (say close to 1), then it is likely that we will reject the null hypothesis. True FalseIn random samples, 74 of 250 persons who watched a certain television program on a small TV set and 92 of 250 persons who watched the same program on a large set remembered 2 hours later what products were advertised. Use the x² statistic to test the null hypothesis 01 = 02 against the alternative hypothesis 01 02 at the 0.01 level of significance. 2