(5 points) Consider each of the scenarios below. For each statement, decide which statistical procedure is most appropriate.
1. Mr. Taylor's 4th grade class uses Skittles to learn about probability. They open several randomly selected bags of Skittles and sort and count the different colors and want to determine if Skittles are evenly distributed by color.
2. An insurance company selected a random sample of 500 clients under 18 years of age and found that 180 of them had had an accident in the previous year. A random sample of 600 clients aged 18 and older was also selected and 150 of them had had an accident in the past year. We want to determine how much the accident proportions differ between the two age groups.
3. The manufacturer of an over-the-counter heartburn relief mediation claims that it product brings relief in less than 3.5 minutes, on average. To be able to make this claim the manufacturer was required by the FDA to present statistical evidence in support of the claim. The manufacturer reported that for a sample of 50 heartburn sufferers, the mean time to relief was 3.3 minutes and the standard deviation was 1.1 minutes.
4. A nutritionist wants to know the proportion of Americans who say they limit their consumption of artificial sweeteners. A poll of 2537 US adults is conducted and the proportion is recorded.
5. The dean of the College of Natural Science want to know if undergraduate students from the statistics department perform better, the same as, or worse than students from the math department on the quantitative portion of the GRE (Graduate Record Examinations). They take a sample of students from each department who have taken the GRE and compare scores.
Options for each answer are:
The most appropriate statistical procedures for each of the scenarios are:
1. Chi-square for goodness of fit.
2. Two-sample proportion test
3. One-sample hypothesis test for mean
4. One-sample proportion test
5. Two-sample hypothesis test for mean
(5 points) Consider each of the scenarios below. For each statement, decide which statistical procedure is...
(5 points) Consider each of the statements below. For each statement, decide whether it is sometimes, always, or never a true statement. ? 1. In general, increasing the sample size in a statistical study will decrease the standard error of the statistic computed from the sample. ? 2. In a hypothesis test, the direction of the alternative hypothesis (right-tailed, left-tailed, or two-tailed) affects the way the effect size is estimated. 3. In order to compute Cohen's d, a statistician must...
For each of the following scenarios, identify the correct procedure to use to arrive at the desired answer. DO NOT actually work the problem, simply determine which procedure would be used. You may provide the description, such as "Two independent samples test for difference in proportions." or the calculator function such as "2-PropZTest." 1. The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT) for the school's male and female applicants. A random sample...
Statistical Significance for 2 x 2 Tables Graded Assignment | Read Chapter 13| Back to Assignment Due Friday 04.26.19 at 11:00 PM Keep the Highest: 0.2/1 Attempts: 0.2 2. Chi-square tests for tables larger than 2 x 2 Aa Aa The Chernobyl accident in Ukraine in 1986 is considered the worst nuclear plant disaster in history. Suppose you are a researcher conducting a study to determine whether the Chernobyl accident caused an increase in thyroid cancer among children in southern...
(5 points) Consider each of the statements below. For each statement, decide whether it is sometimes, always, or never a true statement. 1. In general, increasing the sample size in a statistical study will decrease the standard error of the statistic computed from the sample. ? 2. If two identical studies on the same topic both produced estimated effect sizes less than d = 0.6, a third study that uses the same procedures will also produce an estimated effect size...
3. large-scale currently h medi study was conducted to estimate the difference in the proportion of male and female adults who ave medical coverage. A sample of 1,200 randomly selected adult males found that 852 currently had cal coverage. An independent sample of 1,400 randomly selected adult females found that 938 currently had coverage. If we let pı represent the proportion of all adult males who currently have medical coverage p> the proportion of all adult females who currently have...
Assume that both populations are normally distributed. a) Test whether H1 H2 at the a= 0.01 level of significance for the given sample data. b) Construct a 99% confidence interval about 11 -42 n Sample 1 20 53.5 9.4 Sample 2 13 44.8 11.3 х s Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. A. HO HH2, H:17H2 O B. Ho H1 H2, H7:41 H2 OC. Ho H1...
QUESTION 11 For each of the examples below decide which statistical test should be used to analyze the data. You want to test the effect of one IV on a DV with three levels with different A. Z-test participants receiving each of the levels B. Pearson Correlation You want to compare a sample with a population, but don't know all of the population parameters C. Single sample t-test One group of participants took medicine, another group took a placebo pil...
5 It was dcsircd to comparc thc proportion of malcs and fcmalcs that had a tattoo. I cntered the data into Statistix and created the following printout. Two Proportions Hypothesis Test Sample Size Successes Proportion 30900 -0.06800 Difference 31tarrtire Hyp: pl p2 0.03989 SE difference) z uncorrected) 0.0883 L.70 90 Confidence Interval of Difference -0.14619 pl-p2< -0.00238 a. Use the confidence interval to make a statement about the relationship between these two propor 4no softhe problem)? Make sure to include...
Please use all 5 places of decimal when working with probabilities and please use at least 3 significant figures when dealing with proportions. For larger numbers, please use two places of decimal. Please show ALL work. The proportion of students performing at grade level in NYC is 0.4 overall. A new school opens up and out of a random sample of 50 students, 25 are at grade level. Using a 99% confidence interval, test the hypothesis that the proportion of...
Answer C is not correct. Which statement is not equivalent to the other three for a test comparing two sample means? Retain the null hypothesis. The p-value is greater than.05. The 95% confidence interval for the difference of means contains 0. The results are statistical significant