6 Statistics of sociology questions

6 questions ,will provide link to data set needed

For this assignment, you will perform a one-sample t-test. Conduct the analysis on StatCrunch using the “Homework #6: One Sample t-Test” data file.One-Sample t-TestBroberg et al. (1997) examined whether children who attend preschool perform better on math and language tests than children who stay home with their parents. Do children who attend high-quality preschool perform better on math tests than children who have not? We conduct our own study with a sample of ten children (n = 10) who attended a high-quality preschool before starting elementary school. The children are given a standardized math test for which the population mean is μ = 40. (Higher values indicate better test performance.) Conduct a hypothesis test to determine whether children with a history of preschool daycare are significantly different from the general population, who have a mean score of 40. 1. State the Hypotheses and Alpha Level •Null Hypothesis: Ho: μpreschool = 40 – There is not a significant mean difference in math test scores between the sample who has been exposed to a high-quality preschool and the general population. •State the Alternative Hypothesis (in statistical form and words: 2 points) •We will set our set the level of significance at α = .05 (two tailed) 2. Locate the Critical Region What is the df for this study? (1 point) ______________________Using the table below and df for this study, find the t-critical region. What is tcritical?(1 point): ________________

NAME: _______________________________________23.Conduct the One-Sample t-Test in Statcrunch. Fill in the data below with the results of your one-sample t-test (4 points):o Sample mean: _______________o t-value: _____________ df: ______________ p-value: _______________ 4. Make a Decision What should the researcher decide? Answer the questions below. o Are the results statistically significant? (1 point): a. No, the results are not statistically significant. b. Yes, the results are statistically significant. o Should the researcher decide to “fail to reject the null hypothesis” or “reject the null hypothesis”? (1 point):a. Fail to reject the null hypothesis (i.e., keep/retain the null hypothesis)b. Reject the null hypothesis Do children who attend high-quality preschool perform better on math tests than children who have not? What conclusions should the researcher make? State the results in words. Use the means from the sample and population to guide your conclusion. (1 point)PROPORTION IN TWO TAILS COMBINED df0.500.200.100.050.020.0111.0003.0786.31412.70631.82163.65720.8161.8862.9204.3036.9659.92530.7651.6382.3533.1824.5415.84140.7411.5332.1322.7763.7474.60450.7271.4762.0152.5713.3654.03260.7181.4401.9432.4473.1433.70770.7111.4151.8952.3652.9983.49980.7061.3971.8602.3062.8963.35590.7031.3831.8332.2622.8213.250100.7001.3721.8122.2282.7643.169

NAME: _______________________________________35. Effect Sizes Calculate Cohen’s d using the sample mean, population mean, and sample standard deviation. o What is the value of Cohen’s d? (1 point) __________________o What is the magnitude of the effect size (i.e., how big is the effect)? (1 point)a. Small/weak b. Medium/moderatec. Large/strong Calculate the Coefficient of Determination, r2 using the t-test output from StatCrunch. o What is the value of r2? (1 point) __________________o What is the magnitude of the effect size (i.e., how big is the effect)? (1 point)a. Small/weak b. Medium/moderatec. Large/strong 6. 95% Confidence Interval Using StatCrunch, calculate a 95% confidence interval: Lower Limit: ______________ (1 point),Upper Limit: ____________ (1 point)