Using specific data, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eating organicpotatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additionaldata. In this case, we are testingHo: Po = PcHa: Po> Pcowhere p and p represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and thoseeating conventional food, respectively. Use a 5 % significance level.Effect of Organic Bananas After 25 DaysAfter 25 days, the proportion of fruit flies eating organic bananas still alive is 0.44, while the proportion still alive eating conventionalbananas is 0.41. The standard error for the difference in proportions is 0.032.What is the value of the test statistic?Round your answer to two decimal places.Z = iWhat is the p-value?Round your answer to three decimal places.p-value = i

Solution-: Given: po^=0.44,pc^=0.41,SEpo^-pc^=0.032 Hypothesis: H0:po=pc Vs Ha:p0>pc (Right…

Answered: Using specific data, we find a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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To examine the effect of relaxing music on math test performance, a researcher wants to compare the average math test scores of participants who completed the test with relaxing music to performance of participants who completed the same math test without music. The partially computed data collected in the study are shown below: Math Test with Music: Math Test without Music: n1 = 16 n2 = 12 M1 = 82 M2 = 78 SS1 = 150 SS2 = 140 Based on these results, is there a significant effect of relaxing music on math test performance? Use a t-test for independent samples with p < .01, 2-tails to answer this research question. Follow the steps of hypothesis testing and insert your answers below. In your calculations, round all numbers to two decimal places to avoid rounding errors. ANSWER H0: H1: Computed pooled variance sp2: Estimated standard SM1 - M2: Computed t: Critical t-value for…
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Current Year 1,476 1,800 Occupied Rooms Total Rooms 1,422 1,800 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let P₁= population proportion of rooms occupied for current year P2 population proportion of rooms occupied for previous year - P2 less than or equal to 0 greater than 0 Ho P1 Ha P1 P2 b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? Current year .80 X Previous Year .77 c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. Previous Year p-value = 0.0166 Using a 0.05 level of significance, what is your conclusion? We can conclude that there…
The authors of a paper randomly selected two samples of patients admitted to the hospital after suffering a stroke. One sample was selected from patients who received biofeedback weight training for 8 weeks, and the other sample was selected from patients who did not receive this training. At the end of 8 weeks, the time it took (in seconds) to stand from a sitting position and then to sit down again (called sit-stand-sit time) was measured for the people in each sample. Data consistent with summary quantities given in the paper are given below. For purposes of this exercise, you can assume that the samples are representative of the population of stroke patients who receive the biofeedback training and the population of stroke patients who do not receive this training. Biofeedback Group 2.1 2.8 4.5 2.3 2.9 4.3 3.4 4.2 3.4 3.7 3.0 3.7 3.7 2.5 3.3 No Biofeedback Group 5.2 4.8 4.0 4.3 4.8 4.4 4.3 5.2 3.5 4.3 5.2 4.5 4.1 3.5 4.0 Conduct a test of hypothesis to test whether…
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Is the flu making us sicker? A question of interest at the latest health summit was whether the latest strain of flu was causing adults to run a higher fever than previous strains. The average temperature for previous strains of flu was 101.4 degrees. A random sample of eighteen adults with the latest strain of flu was obtained. The data below represents their highest temperature while sick with the latest flu strain. Based on the data, can we conclude that the latest strain of flu is causing patients to run a higher fever, on average, than previous strains of flu? Let the probability of making a Type-I error be 10%. 102.1 101.8 100.9 103.8 102.8 100.8 102.5 102.0 103.1 104.0 104.2 101.1 100.3 101.9 101.7 101.8 102.3 104.1
The authors of a paper randomly selected two samples of patients admitted to the hospital after suffering a stroke. One sample was selected from patients who received biofeedback weight training for 8 weeks, and the other sample was selected from patients who did not receive this training. At the end of 8 weeks, the time it took (in seconds) to stand from a sitting position and then to sit down again (called sit-stand-sit time) was measured for the people in each sample. Data consistent with summary quantities given in the paper are given below. For purposes of this exercise, you can assume that the samples are representative of the population of stroke patients who receive the biofeedback training and the population of stroke patients who do not receive this training. Biofeedback Group 2.2 2.9 4.6 2.4 3.0 4.4 3.5 4.3 3.5 3.8 3.1 3.8 3.8 2.6 3.4 No Biofeedback Group 5.2 4.8 4.0 4.3 4.8 4.4 4.3 5.2 3.5 4.3 5.2 4.5 4.1 3.5 4.0 Conduct a test of hypothesis to test whether…
In a study conducted in Italy, 10 patients with hypertriglyceridemia were placed on a low-fat, high-carbohydrate diet. Before the start of the diet, cholesterol and triglyceride measurements were recorded for each subject. Patient Cholesterol Level (mmol/l) Triglyceride level (mmol/l) 1 5.12 2.30 2 6.18 2.54 3 6.77 2.95 4 6.65 3.77 5 6.36 4.18 6 5.90 5.31 7 5.48 5.53 8 6.02 8.83 9 10.34 9.48 10 8.51 14.20 a. Construct a two-way scatter plot for these data. b. Use STATA to calculate Pearson’s Correlation Coefficient for these data. c. Test, α = 0.05, whether or not the population correlation, ρ, equals 0.
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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.) Sketch the sampling distribution and show the area corresponding to the P-value. 0-3 -2 -2 -1 -1 0 Read It 0 1 1 Watch it 2 2 3 0-3 ^ -1 0 1 -2 -2 -1 0 1 O At the a = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. 2 2 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. 3…
Dr. Blake is interested in the effects of intoxication on driving ability. Participants are recruited and encouraged to consume one to four mixed drinks during a one-hour period. Dr. Blake records the number of driving errors made while the participants navigate a 20-mile course in a driving simulator and measures the participants' blood alcohol content at the end of the simulation. What statistical test should Dr. Blake use to analyze these data? a. one-way within-groups ANOVA b. one-way between-groups ANOVA c. chi-square test of indepandence d. Pearson correlation coefficient
Recent results suggest that children with ADHD tend to watch more TV than children who are not diagnosed with the disorder. To examine this relationship, a researcher obtains a random sample of n = 36 children, 8 to 12 years old, who have been diagnosed with ADHD. Each child is asked to keep a journal recording how much time each day is spent watching TV. The average daily time for the sample is M = 4.9 hours. It is known that the average time for the general population of 8 to 12-year-old children is = 4.1 hours with = 1.8. (Hint: Be sure to use the correct test statistic). Are the data sufficient to conclude that children with ADHD watch significantly more TV than children without the disorder? Use a two-tailed test with = .05. (Be sure to give your conclusion, too) If the researcher had used a sample of n = 9 children and obtained the same sample mean, would the results be sufficient to reject H0? (Be sure to give your conclusion, too) Compute Cohen's d for this study. What is…

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