Last Digit 4 30 Frequency 35 24 25 27 35 37 27 36 24
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Exercises 1–5 refer to the sample data in the following table, which summarizes the last digits of the heights (cm) of 300 randomly selected subjects (from Data Set 1 “Body Data” in Appendix B). Assume that we want to use a 0.05 significance level to test the claim that the data are from a population having the property that the last digits are all equally likely.
What are the null and alternative hypotheses corresponding to the stated claim?
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- 1) Sum of squares (SS) is the first step in calculating standard deviation and is computed by squaring the: -sampling error -deviations -means -the residuals 2) A clinical psychologist wants to compare 3 treatments for borderline personality disorder: emotionally focused therapy (EFT), client centered therapy (CCT), and cognitive behavioral therapy (CBT). Subjects were randomly assigned to one of the the experimental conditions. What type of design is this? pre-post within-subjects design within-subjects design a between-subjects design with an experimental variable a between-subjects design with a subject variableTest the claim about the population mean, at the given level of significance using the given sample statistics. Claim 50, a0.04, 351. Sample statistics i 48 2, n- 72 Identily the null and alternative hypotheses. Choose the corect answer below OA. H: p 50 H, p50 OB. H: 50 H, pe50 OC. Họ p> 50 D. H 50 H, 50 OE Ho 50 H, 50 OF. H: p= 50 Calculate the standardized test statistic The standardized test statistic is -4.35. (Round to two decimal places as needed) Determine the critical value(s) Select the corect choice below and flin the answer box to complete your cholce. (Round to two decimal places as needed) OA. The critical value is O B. The critical values areA) What proportion of commercial airline pilots are more than 40 years of age? Suppose an analyst has access to a list of all pilots who are members of the Air Line Pilots Association. If this list is used as a frame for the study, she can randomly select a sample of pilots, contact them, and ascertain their ages. From 89 of these pilots so selected, she learns that 48 are more than 40 years of age. Construct an 85% confidence interval to estimate the population proportion of commercial airline pilots who are more than 40 years of age. B) Suppose you want to estimate the proportion of cars that are sport utility vehicles (SUVs) being driven in Regina at rush hour by standing on the corner of Victoria Avenue and Albert Street and counting SUVs. You believe the figure is no higher than 0.40. If you want the error of the confidence interval to be no greater than 0.03, how many cars should you randomly sample? Use a 90% level of confidence.
- 3. Dentists make many people nervous. To assess any effect of such nervousness on blood pressure, the systolic blood pressure of 60 subjects was measured both in a dental setting and in a medical setting (The Effect of the Dental Setting on Blood Pressure Measurement," Amer. J. of Public Health, 1983:1210- 1214). For each subject, the difference between dental setting pressure and medical setting pressure was computed; the resulting sample mean difference and sample standard deviation of the differences were 4.47 and 8.77 mmHg, respectively. o (a) Estimate the true mean difference between blood pressures for these two settings using a 99% confidence level. o (b) Does it appear that the true mean pressure is different in a dental setting than in a medical setting? Explain your reasoning.Among drivers who have had a car crash in the last year, 110 were randomly selected and categorized by age, with the results listed in the table below. Age Under 25 25-44 45-64 Over 64 Drivers 44 24 15 27 If all ages have the same crash rate, we would expect (because of the age distribution of licensed drivers) the given categories to have 16%, 44%, 27%, 13% of the subjects, respectively. At the 0.05 significance level, test the claim that the distribution of crashes conforms to the distribution of ages. The test statistic is x²= The critical value is x² = The conclusion is OA. There is sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distibuion of ages. OB. There is not sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distibuion of ages.Exercises 1–5 refer to the sample data in the following table, which summarizes the last digits of the heights (cm) of 300 randomly selected subjects (from Data Set 1 “Body Data” in Appendix B). Assume that we want to use a 0.05 significance level to test the claim that the data are from a population having the property that the last digits are all equally likely. Is the hypothesis test left-tailed, right-tailed, or two-tailed?
- 1. Write a complete paragraph in APA format describing the research question and your results. Question: A social psychologist records the number of outbursts among students at two schools. Assuming the same number of students were observed at each school, what is the sample size at each school, the decision to retain or reject the null hypothesis) and the effect size for this study based on the following statement? The number of outbursts among students at the small school (M=3) was significantly less than the number recorded at the large school (M = 5) f(38) =4.19, p < .05(d = 0.25 ). Results: sample size = 20 for each school For a two tailed test and df = 38, at 0.05 significance level, t = 2.023 (from t distribution table) Here, the critical value is less than t obtained (t2.023 < 4.19) Hence, we reject the null hypothesis at a 5% significance level Given that d = 0.25 => effect size is medium (since 0.2<d<0.8 for medium) Therefore, the study showed a medium…With the information provided, determine which hypothesis test is required, and per- form it as asked. A frequency table for two categorical variables X and Y, each with two levels, a = 0.05 significance level? given below. Is there evidence of a relationship between them at the X1 X2 Y1 101 81 Y2 35 52 (a) What are Ho and HA? (b) What is the relevant test statistic and its sampling distribution under the null hypothesis? (c) Calculate the test statistic and provide the value. Show working. (d) Using your preferred method (RoR, p-value, CI) make a determination about the hypothesis test.The data below show sport preference and age of participant from a random sample of members of a sports club. Is there evidence to suggest that they are related? Frequencies of Sport Preference and Age Swimming 85 ATTI Tennis Basketball 18-25 98 88 26-30 104 100 46 31-40 62 63 40 54 30 Over 40 63 What can be concluded at the = 0.10 significance level? a. What is the correct statistical test to use? O Homogeneity O Paired t-test O Goodness-of-Fit O Independence b. What are the null and alternative hypotheses? Ho: O The age distribution is the same for each sport. The age distribution is not the same for each sport. O Age and sport preference are dependent. O Age and sport preference are independent. H1: O Age and sport preference are independent. O The age distribution is not the same for each sport. O Age and sport preference are dependent. O The age distribution is the same for each sport.
- b. In 2018, a sample of 300 in-store shoppers showed that 44 paid by debit card. The results shown in the table below were obtained when a sample of 400 in-store shoppers were surveyed in 2019. Year 2018 2019 Shoppers Surveyed Shoppers Paying by Debit Card 44 Formulate appropriate hypotheses to test whether the percentage of debit card shoppers increased, and conduct the test using a significance level of 0.01. What is your conclusion? 300 400Which of the following is not an assumption of the two-factor ANOVA? Group of answer choices a)The observations within each sample must be independent. b)The populations from which the samples are selected must be normal. c)The observations within each sample must have equal variances. d)The populations from which the samples are selected must have equal variances.The area of inferential statistics called hypothesis testing is a decision-making process for evaluating claims about a population parameter, based on information obtained from samples. True or false