he website Data USA stated that in 2016, Texas had the lowest number of adults with a serious mental illness with an average of M=3.26% of the population affected. The state of Texas wants to test if they have a significantly decreased number of mental illness patients compared with the states with the (n=8) highest level of mental illness found. In 2016 the following states had the highest level of adult patients with mental illness: Arkansas= 5.45%, Montana=5.34%, Vermont=5.32%, Oregon=5.19%, Utah=5.2%, Ohio=5.13, Kentucky=5.25% West Virginia=5.18%. The alpha level for the study was set to α=.05 for the criteria. State the hypotheses of the study. b. Find the critical tvalue for this study c. Compute the one sample ttest d. Compute the Cohen's d for the data e. State the results in APA format (numbers and words) and don’t forget to include all parts in the sentence and the direction of the results.

3. A light bulb manufacturer finds that 4% of the bulbs it makes are defective. The quality control officer predicts that 700 bulbs will be defective out of 15,500 bulbs made. Do you agree? Explain.

A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 6% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 4% during the current year. In addition, it estimates that 15% of employees who had lost-time accidents last year will experience a lost-time accident during the current year. a. What percentage of the employees will experience lost-time accidents in both years (to 2 decimals)? % b. What percentage of the employees will suffer at least one lost-time accident over the two-year period (to 2 decimals)? %

Thirty-two percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Supposeyou have been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sampleof St. Paulites to estimate the proportion who drink bottled water more than once a week. Assume the popluation proportion of St. Paulites whodrink bottled water more than once a week is 0.32, the same as the overall proportion of Americans who drink bottled water more than once aweek. Use z-table.a. Suppose you select a sample of 540 St. Paulites. Show the sampling distribution of ē (to 4 decimals).E) .32Op =.0201b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.01 of the population proportion (to4 decimals).probability = C. Suppose you select a sample of 250 St. Paulites. Show the sampling distribution of ē (to 4 decimals).E(P) = 0.32Op = d.…