A random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 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. (a) What is the level of significance?   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.)

A social scientist wanted to study the education levels of adults who live in the tristate area of southwestern Pennsylvania, the West Virginia panhandle, and southeastern Ohio. A random sample of 25 middle-aged adults from each region was selected and asked about their highest level of education. The responses are displayed in the table.   The scientist would like to know if these data provide convincing evidence that the distribution of education differs for these regions in the population of all tristate residents. Are the conditions for inference met? No, the random condition is not met. No, the 10% condition is not met. No, the Large Counts condition is not met. Yes, all three conditions for inference are met.

People with headaches are randomly divided into two groups. One group gets pain medication, and the other does not. One hour later, the participants are asked about their pain. Is it an experimental study or an observational study?

In 2014, about 11.3% of U.S. workers belonged to a union. Suppose a sample 400 of U.S. workers is collected to determine whether union efforts to organize have increased union membership. Which if the following is the best description of what u- represents? O A. -is the average sample proportion for all possible samples of size 400 O B. H- is the average number of U.S. workers that belong to a union in all possible samples of size 400 C. O C.H- is the number of all U.S. workers that belong to a union. O D. H- is the proportion of U.S. workers in the sample that belong to a union O E. µ – is the proportion of all U.S. workers that belong to a union

A report stated that based on observing a large number of vehicle occupants, the estimated percentage of drivers and passengers in a certain country who wear seatbelts is 85.7%. The report also gave information on seat belt use by sex and by whether the vehicle is traveling in an urban or rural area. The information in the following table is consistent with summary values given in the report. Seat belt No Seat belt Urban Areas Male Female 851 119 908 62 Rural Areas Male Female 750 220 817 153 Assume that these data are representative of drivers and passengers in the country. Consider the following conclusion. Females are more likely to wear seat belts than males in both urban and rural areas. The difference in the percentage of females and the percentage of males who wear seat belts is greater for rural areas than for urban areas. Provide a justification for this conclusion. Use the information in the table to calculate relevant probabilities. The differences in the proportions for…

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

A school administrator wants to see if there is a difference in the number of students per class for the Portland Public School district (Group 1) compared to the Beaverton School district (Group 2). Let be the average number of students per class for the Portland Public School district. Let ₂ be the average number of students per class for the Beaverton School district. Assume the populations are normally distributed. A random sample of 25 Portland classes found a mean of 38 students per class with a standard deviation of 3. A random sample of 28 Beaverton classes found a mean of 35 students per class with a standard deviation of 4. a. Find a 95% confidence interval for the difference of the means. Use Excel Two Means Calculator found in the Course and round answers to 2 decimal places. <1-1₂< b. Select the correct conclusion based on the above confidence interval. Since the above confidence interval gives only negative values, we have 95% confident that the average number of students…

3. Of all the pupils in a particular school, 45 % go to school by bus. In a random sample of 30 pupils, calculate the mean and variance number of pupils that go to school by bus.

A researcher wants to determine if the number of years of education for a parent correlates with the number of years of education for their child. The table shows the number of years of education of the parent and the number of years of education of their child for a random sample of 7.    Years of Education of Parent: 13, 9, 12, 10, 12, 10, 12 Years of Education of their Child: 15, 11, 10, 16, 17, 12, 17   Conduct a hypothesis test to determine if there is a significant linear correlation between the two variables. Use α = 0.05. If there is a significant linear correlation between the variables, determine the regression equation.  There is a significant correlation between the variables and the regression equation is y' = 5.333 + 0.777x  There is a significant correlation between the variables and the regression equation is y' = 0.777 + 5.333x  There is not a significant correlation between the variables, so the regression equation should not be determined.  There is a significant…

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?