A research report describing the effect of a treatment states "t(15) = +2.31, p<.05." For this study, there is less than a 5 probability that the treatment is effective. True False
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- A researcher is conducting an experiment to evaluate the effectiveness of cognitive-behavioral therapy in treating eating disorders. The mean eating disorder score in clinical population of people suffering from the disorder is μ = 75. The results of the experiment will be examined by a z -test, two-tails. Which of the following is the correct statement of the alternative hypothesis, H1?A. μ = 75 (i.e., the treatment has a significant effect).B. μ ≠ 75 (i.e., the treatment has no significant effect).C. μ ≠ 75 (i.e., the treatment has a significant effect).D. μ = 75 (i.e., the treatment has no significant effect).Historically, the proportion of students entering a university who finished in 4 years or less was 65%. To test whether this proportion has decreased, 150 students were examined and 58% had finished in 4 years or less. At the 5% level of significance, does it appear the proportion has decreased from its historical level? To determine whether the proportion of students who finish in 4 year or less has statistically significantly decreased, what is the null and alternative hypothesis?A new vaccine against the coronavirus has been developed. The vaccine was tested on 10,000 volunteers and the study has shown that 65% of those tested do not get sick from the coronavirus. Unfortunately, the vaccine has side effects and in the study it was shown that the probability of getting side effects among those who did not get sick is 0.31, while the probability of getting side effects among those who got sick from corona despite vaccination is 0.15. (a) Draw an event tree and show on the event tree all the probabilities in branch points.
- A doctor is researching side effects with a new pain medication. A clinical trial including random sample of 340 people who took a new pain relief medication reveals that 23 suffered some side effects. At the .05 level of significance(α), is there evidence that greater than 10% of all patients who take the medication will experience side effects? a. 0.0468 b. 0.977 c. 0.0234 d. 0.0678A psychologist finds that fidgety patients tap their fingers on average 500 times during a 2 hour period. You wish to test this claim for the same patients, but in a room decorated with soothing colors and soft lighting. You believe that a warmly decorated room may alter the fidgeting behavior, causing subjects to tap their fingers less than they do under normal conditions. A random sample of 400 patients has a mean of 420 taps and a standard error of 30 taps in a 2 hour period. Find the margin of error for the average tapping of fingers during a 2 hour period.The Youth Risk Behavior Survey (a study of public high school students) showed that 45 of 675 girls and 103 of 621 boys had been in a physical fight on school property one or more times during the past 12 months Using 5% significance, perform an appropriate test of hypothesis that the proportion of girlsinvolved in a physical fight on school property is less than the proportion of boys involved in a physical fight on school property.Step 1: H0: ________________ Ha: ____________________ Significance level α =0.05Step 2: Check necessary data conditions and compute an appropriate test statistic:Step 3: Compute corresponding p-value
- Spam: A researcher reported that 71.8 % of all email sent in a recent month was spam. A system manager at a large corporation believes that the percentage at his company may be 69%. He examines a random sample of 500 emails received at an email server, and finds that 365 of the messages are spam. Can you conclude that greater than 69% of emails are spam? Use both a=0.01 and a= 0.05 levels of significance and the critical value method with the table. Part 1 of 5 State the appropriate null and alternate hypotheses. Ho: P- .69 H1: p> .69 This hypothesis test is a right-tailed V test. Part 2 of 5 Find the critical values. Round the answers to three decimal places. For a=0.01 , the critical value is 2.326 For a=0.05 , the critical value is 1.645 Part: 2/5 Part 3 of 5 Compute the test statistic. Do not round intermediate calculations. Round the answer to two decimal places.What does a confidence interval tell you? What do the p-value and alpha level really tell you? In other words, is one more significant than the other, or are you more confident that your results are correct? What happens when p-value is reduced from .05 to. 01? What is cohen’s d? What is variance (r2)?(b) Is there sufficient evidence to conclude, at the 5% level of significance, that the false positive rate is less than 5%? Explain.
- Assume that you have a binomial experiment with p= .3 and a sample size of a 100. The value of the variance is?When only two treatments are involved, ANOVA and the Student’s t-test (Chapter 11) result in the same conclusions. Also, for computed test statistics, t2 = F. To demonstrate this relationship, use the following example. Fourteen randomly selected students enrolled in a history course were divided into two groups, one consisting of six students who took the course in the normal lecture format. The other group of eight students took the course in a distance format. At the end of the course, each group was examined with a 50-item test. The following is a list of the number correct for each of the two groups. Traditional Lecture Distance 36 45 31 35 40 45 34 35 33 45 38 36 43 41 a-1. Complete the ANOVA table. (Round your SS, MS, and F values to 2 decimal places and p-value, F crit to 4 decimal places.) Source of Variation SS df MS F p-value F crit Treatment 96.01 1 96.01 5.67 0.0350 Error 203.21 12 16.93 Total 299.21 13…