A random sample of n1 = 148 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 14 were found to be high school dropouts. Another random sample of n2 = 125 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 5 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance.

Health insurance benefits vary by the size of the company (the Henry J. Kaiser Family Foundation website, June 23, 2016). The sample data below show the number of companies providing health insurance for small, medium, and large companies. For the purposes of this study, small companies are companies that have fewer than 100 employees. Medium-sized companies have 100  to 999  employees, and large companies have 1000  or more employees. The questionnaire sent to 225  employees asked whether or not the employee had health insurance and then asked the employees to indicate the size of the company.   Health Insurance   Size of Company Yes No Total     Small 33 17 50     Medium 67 8 75     Large 89 11 100   Conduct a test of independence to determine whether health insurance coverage is independent of the size of the company. What is the p-value? Compute the value of the x2 test statistic (to 2 decimals)  A newspaper article indicated…

Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents.

A researcher is interested in factors related to academic performance of students.  She hypothesized that for undergraduate students, there is an association between academic majors (STEM, Business, Education, Nursing) and amount of time spent studying each week (less than 3 days, 3 to 6 days, everyday).  To test her hypothesis, she randomly selected 1000 undergraduate students from various colleges/universities in Texas, and then classified each participant according to their major and amount of study time each week.  For her study, she found test-statistic of 23.75 and a p-value of 0.0006.  Using this information, fill in the necessary information below for her test. Distribution used:    a. chi-square distribution, 3 degrees of freedom   b. chi-square distribution, 4 degrees of freedom   c. chi-square distribution, 6 degrees of freedom   d. chi-square distribution, 12 degrees of freedom

Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at row B, the annual company percentage increase in revenue, versus row A, the CEO's annual percentage salary increase in that same company. Suppose that a random sample of companies yielded the following data: Do these data indicate that the population mean percentage difference in corporate revenue (row B) is different from the population mean percentage increase in CEO salary? Use a 1% level of significance.     (A) Are the data statistically significant at level α? Will you reject or fail to reject the null hypothesis?      Since the interval containing the P-values has values that are larger than the level of significance, the data are not statistically significant and so we fail to reject the null hypothesis.       (a)Since the interval containing the P-values has values that are larger than the level of significance, the data…

3. A study in Men's Health magazine stated that 14% of men said they used exercise to reduce stress. Use a = 0.10. A random sample of 100 men was selected and 10 said they used exercise. Does the sample support the claim made by the magazine?

You may need to use the appropriate technology to answer this question. Suppose a company surveyed the work preferences and atitudes of 1,006 working adults spread over three generations: baby boomers, Generation X, and millennials. In one question, individuals were asked if they would leave their current job to make more money at another Job. The sample data are summarized in the following table. Generation Leave Job for More Money? Baby Boomer Generation X Millennial Yes 124 154 167 No 202 185 174 Conduct a test of independence to determine whether interest in leaving a current job for more money is independent of employee generation State the null and aiternative hypotheses Hg Interest in leaving job for more money is independent of the employee generation H, Interest in leaving job for more money is not independent of the employee generation. OH Interest in leaving job for mere money is mutually excusive of the employee generation H, Interest in leaving job for more money is not…

). You are interested in investigating if there a difference in mean cholesterol between the four diet groups. What kind of sample and outcome is this?

In a simple random sample of 600 men taken from a big city 400 are found to be smokers. In another simple random sample of 900 men taken from another city 450 are smokers. Do the data indicate that there is a significant difference in the habit of smoking in the two cities?

Your statistics instructor often ponders the relationship between commute time and job satisfaction while driving back and forth to campus.  Your instructor hypothesizes that people with a shorter commute time will have higher degrees of job satisfaction.  Randomly sampling 600 Valley commuters, the instructor finds the following data listed in frequencies: Table 2: Commuters by Length of Commute and Job Satisfaction Job Satisfaction Number Who Commute 20 Minutes or Less Number Who Commute 21 to 40 Minutes Number Who Commute 41 Minutes or More Total Number for Each Level of Job Satisfaction Dissatisfied 10 60 140 210 Neutral 45 59 51 155 Satisfied 145 60 30 235 Total Number for Each Commute Time Range 200 179 221           1. Change frequencies to column percentages.