Research has demonstrated that adults taking at least 7000 steps per day (steps/d) had lower risk of mortality compared to those taking fewer than 7000 steps/d. (inspiration for problem: Using data from the Coronary Artery Risk Development in Young Adults (CARDIA) study, 21% of all participants had fewer than 7000 steps/d. A researcher is planning to randomly sample 10 participants from the CARDIA study. What distribution does X, the number of participants with fewer than 7000 steps/d follow? Be sure to define necessary parameters and state any assumptions.
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Research has demonstrated that adults taking at least 7000 steps per day (steps/d) had lower risk of mortality compared to those taking fewer than 7000 steps/d. (inspiration for problem:
Using data from the Coronary Artery Risk Development in Young Adults (CARDIA) study, 21% of all participants had fewer than 7000 steps/d.
A researcher is planning to randomly sample 10 participants from the CARDIA study.
- What distribution does X, the number of participants with fewer than 7000 steps/d follow? Be sure to define necessary parameters and state any assumptions.
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- Left ventricular mass (LVM) is an important risk factor for subsequent cardiovascular disease. A study is proposed to assess the relationship between childhood blood-pressure levels and LVM in children as determined from echocardiograms. The goal is to stratify children into a normal bp group (< 90th percentile for their age, gender, and height) and an elevated bp group (≥ 90th percentile for their age, gender, and height) and compare change in LVM between the two groups. Before this can be done, one needs to demonstrate that LVM actually changes in children over a 4-year period. To help plan the main study, a pilot study is conducted where echocardiograms are obtained from 10 random children from the Bogalusa Heart Study at baseline and after 4 years of follow-up. The data are given in Table 1 . Table 1 Pilot data on left ventricular mass (LVM) in children from the Bogalusa Heart Study ID Baseline LVM (g) 4- year LVM (g) Change (g)* 1 139 163 24 2 134 126 -8 3 86 142 56…You may need to use the appropriate appendix table or technology to answer this question. Approximately 50% of all caregivers of older adults are caring for someone with memory loss (due to is percentage of caregivers caring for older adults with memory loss. This year, in a random sample of 400 caregivers, 181 were caring for older adults with memory loss uch as Alaheimer's or dementia). It is beleved that there has been a reduction in the (a) State the null and the alternative hypotheses. (Enter t for as needed.) (b) At the 0.05 level using the critical value approach, determine if there has been a significant reduction in the proportion of caregivers caring for adults with memory loss Compute the test statistk. Determine the critical value(s) for this test. (Round your answerta) to two decimal places. If the test is one-taled, enter NONE for the unused tal.) test statisticS test statistic State your condusion. O Reject Ha There is insufficient evidence to support the claim that the…Anterior cruciate ligament (ACL) injuries occur most frequently in planting and cutting sports such as basketball, soccer, and volleyball. National collegiate athletic association injury data show that female athletes injure the ACL more frequently than their male counterparts do. A sports medicine professor wants to test this claim. He surveyed 5 universities that had both men's and woman's basketball, soccer, and volleyball and asked them how many grade 3 ACL tears they had during the past 5 seasons. Using the following results, are women at greater risk than men for ACL injuries? (use a standard deviation of 0.01, one tail test). Women- 4,3, 5, 2,4 Men- 2, 0, 1 ,2, 1 What is the difference between a repeated measure study and a matched pairs study?
- Liu et al. (2015) recently reported the results of a study examining whether happy people live longer. The study followed a large sample of British women, aged 50 to 69, over a 10-year period. At the beginning of the study, the women were asked several questions including how often they felt happy. After 10 years, roughly 4% of the women had died. The following table shows a frequency distribution similar to the results obtained in the study. Lived Died Within 10 Years Total Happy Most of the Time 382 18 400 Unhappy Most of the Time 194 6 200 Total 576 24 n = 600 Do the data indicate a significant relationship between living longer and being happy most of the time? Test with α = .05. (Round your answers to two decimal places for χ²-critical and χ².) χ²-critical = χ² = Conclusion: Fail to reject the null hypothesis. There is a relationship between living longer and being happy most of the time. Reject the null hypothesis. There is no relationship between living longer and being…Anterior cruciate ligament (ACL) injuries occur most frequently in planting and cutting sports such as basketball, soccer, and volleyball. National collegiate athletic association injury data show that female athletes injure the ACL more frequently than their male counterparts do. A sports medicine professor wants to test this claim. He surveyed 5 universities that had both men's and woman's basketball, soccer, and volleyball and asked them how many grade 3 ACL tears they had during the past 5 seasons. Using the following results, are women at greater risk than men for ACL injuries? (use a standard deviation of 0.01, one tail test). Women- 4,3, 5, 2,4 Men- 2, 0, 1 ,2, 1 Calcualte the sum of squares of injuries for men.When does Two Related Samples occur?
- Question 2 There is a claim that drink driving has been very common in high ways. The Highway Police randomly caught 300 drivers for breath alcohol test and found that 14% of drivers have breath alcohol over the legal limit. At 4% level of significance, use the p-value approach to test the hypothesis that the percentage of drivers who are drink driving is more than 10%.A researcher believes that among the residents of a remote community, 30% have type O blood, 50% have type A blood, 10% have type B blood and 10% have type AB blood. She takes a random sample of 80 residents and finds that 20 had type O blood, 40 had type A blood, 12 had type B blood and 8 had type AB blood. Do the data follow the hypothesized distribution of blood type for this community? Test at a = .05. Round your answers to three decimal places, if necessary. Null hypothesis: Ho: Po = 0.3, PA = 0.5, PB = 0.1, PAB = 0.1 20 40 12 8 80 80 80 80 1 1 1 20 40 8 Ho: Po = Ho: Po = Alternative hypothesis: Ho: Po = PA = PB = PAB = Ha: po # Type O 1 Ha: Po PA PB = PAB = 4 20 › PA = PA = Type 0 20 24 40 80 80 Ha: Po 0.3, PA # 0.5, PB At least one of the proportions is different. Complete the table of observed counts: Type O , PA # 0.667 Type A PB = PB = 40 Type A 40 What is the test statistic? 2.667 1 ,PB # 0 , PAB = 1 12¹ PAB Complete the table of expected counts under the null hypothesis: 12…The Wall Street Journal asked Concur Technologies, Inc., an expense management company, to examine data from 8.3 million expense reports to provide insights regarding business travel expenses. Their analysis of the data showed that New York was the most expensive city. The following table shows the average daily hotel room rate (X) and the average amount spent on entertainment (Y) for a random sample of 9 of the 25 most-visited U.S. cities. These data lead to the estimated regression equation y = 17.49 + 1.0334x. For these data SSE = 1541.4. Use Table 1 of Appendix B. a. Predict the amount spent on entertainment for a particular city that has a daily room rate of $89 (to 2 decimals). b. Develop a 95% confidence interval for the mean amount spent on entertainment for all cities that have a daily room rate of $89 (to 2 decimals). c. The average room rate in Chicago is $128. Develop a 95% prediction interval for the amount spent on entertainment in Chicago (to 2 decimals).
- A health officer thinks that there is an association between diabetes (DM) and hypertension (HPT). He believes that those with DM are more likely to have HPT as well. For his research, from the hospital records, he selected a random sample of 400 patients, 300 with DM and 100 without DM. Out of the 300 DM patients, 60 had HPT as well and out of the 100 non DM patients 10 had HPT. He also recorded the patients’ gender. With the data, he performed two analyses, one for all policyholders and the other by gender. The following are some of the output from SPSS. Must the manager consider gender as well in this case? If yes, stating the evidence, explain why. If you are the health officer, how would the results above help you in making decision? What other variables, if any, should be considered as well?Suppose you do a small-scale study to find out whether relationship satisfaction is related to relationship status (dating, engaged, or married). You take a random sample of 39 participants, 13 of whom belong to each of the relationship status groups. You ask each participant to rate their level of satisfaction with their relationship on a 1 to 10 scale. You wish to conduct a One-Way ANOVA to test whether the differences between the groups are significant. Initial calculations reveal that the Total Sum of Squares is equal to 136.359, and the Sum of Squares for Treatments is 66.513. Find the value of the F-statistic.
