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- An antidepressant has historically been known to relieve depression for 80% of patients who use the drug. The drug's formula was changed recently to include a smaller dose of its main, active ingredient. Due to this change, a medical researcher suspects that among all people with depression who use the new version of the drug, the proportion, p, of people who find relief is lower than 80%. A random sample of 215 patients who use the new version is selected by the researcher, and 159 of them find relief from depression. Based on these data, can we support the researcher's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H₁. H:0 H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value…A group of boys believe that there is a relationship between the act of sending flowers to a girl and texts received as a result. A study was carried out in which a sample of girls were asked whether they received any flowers and how many texts they sent in response. a)What type of variable is the explanatory variable? Quantitative Categorical b) What type of variable is “number of texts sent in response?” Categorical Quantitative c)What type of visual display should be used to summarize this data? Bar chart Side-by-side boxplots Histogram Dot plotYou are investigating whether a new treatment for depression works better than two established treatments. You randomly assign 90 participants to one of three groups (New Treatment. Established Treatment 1, and Established Treatment 2). Because these are all new types of treatment for depression you don't have any previous research or theory on which to suggest that one treatment will be better or worse than another. After the experiment is completed you explore the mean group differences you found. In so doing you would be conducting O Tukey's post hoc tests O a correlated groups t-test O effect sizes an a priori (planned) comparison
- A random sample of n1 = 148 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 14 were found to be high school dropouts. Another random sample of n2 = 125 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 5 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance.A random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)A sample of 150 matched pairs of banks was formed in a study comparing banks in Turkey and Germany. Each pair contained one bank from Turkey and one from Germany. The pairings were made in such a way that the two members were as similar as possible in regard to such factors as size and age. The ratio of total loans outstanding to total assets was calculated for each of the banks. For this ratio, the sample mean difference (Turkey - Germany) was 0.0412, and the sample standard deviation of the differences was 0.3039. Test, against a two-sided alternative, the null hypothesis that the two population means are equal. (Assume a = 0.01.) Click the icon to view the critical values of the Student's t distribution. Which of the following cor greater than tn-1, a/2 O B. Ho: Hx - Hy = 0 0< 1 - *rt :H O A. Ho: Hx -Hy =0 greater than - tn - 1, a 0# 서-저 : H O D. Ho: Hx-Hy = 0 OC. Ho: Hx-Hy #0 H: Hx-Hy =0 greater than t,-1. g 05 1 - Xt :'H less than -tn-1, a O F. Ho: Hx - Hy = 0 O E. Ho: Hx -Hy =0…
- The authors of a paper studied a random sample of 347 Twitter users. For each Twitter user in the sample, the tweets sent during a particular time period were analyzed and the Twitter user was classified into one of the following categories based on the type of messages they usually sent. Category Description IS Information sharing OC Opinions and complaints RT Random thoughts МЕ Me now (what I am doing now) Other The accompanying table gives the observed counts for the five categories (approximate values read from a graph in the paper). Twitter Type IS OC RT ME Observed count 52 60 64 99 72 Carry out a hypothesis test to determine if there is convincing evidence that the proportions of Twitter users falling into each of the five categories are not all the same. Use a significance level of 0.05. (Hint: See Example 12.2.) Let P1, P21 P31 P4r and P5 be the proportions of Twitter users falling into the five categories.A manufacturer ran an experiment to compare the wearing qualities of two different types of automobile tires, A and B. In the experiment, a tire of Type A and one of the type B were randomly assigned and mounted on the rear wheels of each of five cars. the cars were then operated for x miles and the amount of tire wear was recorded (higher number represents more wear). Is there sufficient evidence to conclude that there is a difference in the average wear? Use 0.05 level of significance. Tire A 10.6 9.8 12.3 9.7 8.8 Tire B 10.2 9.4 11.8 9.1 8.3In 2001, the polls found that 81% of American adults believed that there was a conspiracy in the death of President Kennedy. Assume a recent poll asked 1160 American adults if they believe there was a conspiracy in the assassination and it found that 897 believe there was a conspiracy. Does the data show that the proportion of Americans who believe in this conspiracy is now lower? Test at the 9% level. What is the correct parameter symbol for this problem? What is the wording of the parameter in the context of this problem? Fill in the correct null and alternative hypotheses:
- Suppose that Kim is a participant in a study that compares several coaching methods to see how they affect math Scholar Aptitude Test (SAT) scores. The grand mean of math SAT scores for all participants (My) in the study is 550. The group that Kim participated in had a mean math SAT score of 565. Kim’s individual score on the math SAT was 610. What was the estimate residual component (of Kim’s score, that is, the part of Kim’s score that was not related to the coaching method? (Both parts of this question call for specific numerical values as answers). What was that “effect” (ai) component of Kim's score? What pattern in grouped data would make SSwithin = 0? What pattern within data would make SSbetween = 0?It has been found that 25.1% of men (Group 1) 20 years and older suffer from hypertension (high blood pressure) and 33.9% of women (Group 2) are hypertensive. A random sample of 164 of each gender was selected from recent hospital records, and the following results were obtained. Can you conclude that a higher percentage of women have high blood pressure? Use =0.05. Men: 42 patients had high blood pressure Women: 52 patients had high blood pressure Required: Test Value Only the final answer should be rounded-off to TWO decimal places.Suppose that, for one semester, you can collect the following data on a random sample of college juniors and seniors for each class taken: a standardised final exam score, percentage of lectures attended, a dummy variable indicating whether the class is within the student’s major, cumulative grade point average prior to the start of the semester, and SAT score. If you pool all of the data and use OLS, what are you assuming about unobserved student characteristics that affect performance and attendance rate and What roles do SAT score and prior GPA play in this regard?