what is the null hypothesis and alternative hypothesis for this scenario: The efficacy of a new addiction medication was evaluated in a randomized placebo controlled double blind study. The medication in question, antiquil, is intended to moderate the symptoms of alcohol withdrawal and craving with minimum side effects. Over the course of 3 weeks, a sample of 36 individuals who were recovering from alcohol addiction were placed into 2 groups, one administered medication and one a placebo. At the end of the period, participants were administered the obsessive compulsive drinking scale. Scores can range from 0 to 40 with higher scores signaling higher levels of rumination about alcohol. Then a data set of 18 scores from medicated participants is provided and a data set from 18 placebo participants is provided.

what is the null hypothesis and alternative hypothesis for this scenario: The efficacy of a new addiction medication was evaluated in a randomized placebo controlled double blind study. The medication in question, antiquil, is intended to moderate the symptoms of alcohol withdrawal and craving with minimum side effects. Over the course of 3 weeks, a sample of 36 individuals who were recovering from alcohol addiction were placed into 2 groups, one administered medication and one a placebo. At the end of the period, participants were administered the obsessive compulsive drinking scale. Scores can range from 0 to 40 with higher scores signaling higher levels of rumination about alcohol. Then a data set of 18 scores from medicated participants is provided and a data set from 18 placebo participants is provided.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.7: Probability

Problem 3SE: What is an experiment?

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What is an experiment?
In randomized, double-blind clinical trials of a new vaccine, rats were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 111 of 670 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 68 of 551 of the subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the α=0.05 level of significance? a. Find the test statistic for this hypothesis test. Round to two decimal places as needed.
In randomized, double-blind clinical trials of a new vaccine, infants were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 126 of 387 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 158 of 574 of the subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the α=0.01 level of significance? Verify the model requirements. Select all that apply. A. The sample size is less than 5% of the population size for each sample. B. n1p11−p1≥10 and n2p21−p2≥10 C. The samples are dependent. D. The sample size is more than 5% of the population size for each sample. E. The samples are independent. F. The data come…
In a randomized double-blind clinical trials of a new vaccine children were randomly divided into two groups subjects in group one received the new vaccine while subjects in group 2 received a control vaccine after the second dose 112 of 690 subjects in the experimental group 1 experienced drowsiness as a side effect after the second dose 69 of 571 of the subjects in the control group 2 experienced drowsiness as a side effect does the evidence suggest that a higher proportion of subjects in group 1 experience drowsiness as a side effect than subjects in group 2 at 0.05 level of significance? Determine the null and alternative hypothesis? find the test statistic for this hypothesis test? determine the P value for this hypothesis test? do we reject or not reject the null hypothesis and why? State your conclusion?
Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous six months, in a sample of 115 new car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new car buyers that trade in their old car has this is statistically significantly decreased, what can you conclude concerning the null hypothesis? A) reject the null hypothesis Or B) fail to reject the null hypothesis
The May 10, 2007 issue of The New England Journal of Medicine describes two large randomized, placebo-controlled trials of a vaccine for HPV-related cancer. HPV is human papillomavirus, the most common form of sexually transmitted infection. For the group of people who received the vaccine, the HPV-related cancer rate was much lower than for those who received a placebo. Which best describes the goal of this study?
In a clinical trial of Nasonex, 300 allergy patients were randomized into two groups, with Group 1 receiving the Nasonex drug (200 mg) and Group 2 receiving a placebo. The experimenter used a 2:1 randomization plan so that more subjects would be assigned to the Nasonex group. One outcome of interest is the incidence rate of headache as a side-effect. Of the 200 patients randomized to the Nasonex group, 52 (or 26%) reported experiencing a headache; and of the 100 patients randomized to the placebo group, only 22 (22%) reported a headache. 1. The makers of Nasonex are concerned that their allergy medication might increase the incidence of headaches. So they would like to assess the claim that the incidence rate of headaches is higher for Nasonex users as compared to placebo. So the null hypothesis is given by H0: p1 - p2 = 0. Select the appropriate alternative hypothesis. Ha: p1 - p2 ≠ 0 Ha: p1 - p2 > 0 Ha: p1 - p2 < 0 2. It seems that the sample sizes of 200…
Two groups of people, each consisting of 100 people, are afflicted with a certain disease. Although serum is given to group A in the treatment of the disease, group B is not given. In the end, 75 people from group A and 65 from group B recover from the disease. Accordingly, what would be the hypothesis at the 5% significance level that the recovery rate is higher in patients given serum?
An environmentalist wishes to conduct a hypothesis test on the percentage of cars driven in the city that are hybrids. Is it sufficient for him to use a simple random sample of 143 cars if hybrids currently account for 4% of the car sales in the country and he claims that the percentage of hybrids in the city is higher than that?
A researcher wants to determine if a new advertising campaign improves the amount of time kids spend reading compared to the general population. If she rejects the null hypothesis, she has decided that the advertising campaign _____________ and that her sample of kids _____________. improves reading; is different from the general population doesn’t improve reading; is different from the general population improves reading; is the same as the general population doesn’t improve reading; is the same as the general population
Lecturers at a university intend to see the effect of stress relief strategies such as deep breathing and relaxation techniques to the student performance in the final exam. For this reason, they assigned students of the same year in two different cohorts. More precisely, students in Cohort 1 did not do any relaxation techniques before the exam, while students in Cohort 2 performed a full range of the relaxation techniques approved by the British Psychological Society. The average mark of a random sample of 17 students from Cohort 1 was 61, with a standard deviation of 17, while the average mark of a random sample of 11 students from Cohort 2 was 67 with a standard deviation of 19. (a) Test whether the variances of marks for the two cohorts are the same at the 5% significance level. (b) Test the hypothesis that the average mark in the exam for Cohort 1 students isthe same as that for students of Cohort 2 at the 5% significance level. For this test, what is the p-value? (c) What…
Lecturers at a university intend to see the effect of stress relief strategies such as deep breathing and relaxation techniques to the student performance in the final exam. For this reason, they assigned students of the same year in two different cohorts. More precisely, students in Cohort 1 did not do any relaxation techniques before the exam, while students in Cohort 2 performed a full range of the relaxation techniques approved by the British Psychological Society. The average mark of a random sample of 17 students from Cohort 1 was 61, with a standard deviation of 17, while the average mark of a random sample of 11 students from Cohort 2 was 67 with a standard deviation of 19. a) Calculate a 95% confidence interval for the difference in average marks in theexam for the two cohorts of students. Explain the meaning of the 95% confidence interval that you have calculated.