The average number of accidents at controlled intersections per year is 4.2. Is this average a different number for intersections with cameras installed? The 43 randomly observed intersections with cameras installed had an average of 4.8 accidents per year and the standard deviation was 1.12. What can be concluded at the α α = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: H 0 : H 0 : H 1 : H 1 : The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is α α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest that the sample mean is not significantly different from 4.2 at α α = 0.10, so there is statistically insignificant evidence to conclude that the sample mean number of accidents per year at intersections with cameras installed is different from 4.8 accidents. The data suggest that the populaton mean is significantly different from 4.2 at α α = 0.10, so there is statistically significant evidence to conclude that the population mean number of accidents per year at intersections with cameras installed is different from 4.2 accidents. The data suggest that the population mean is not significantly different from 4.2 at α α = 0.10, so there is statistically insignificant evidence to conclude that the population mean number of accidents per year at intersections with cameras installed is different from 4.2 accidents. Interpret the p-value in the context of the study. There is a 0.10748402% chance that the population mean number of accidents per year at intersections with cameras installed is not equal to 4.2. If the population mean number of accidents per year at intersections with cameras installed is 4.2 and if another 43 intersections with cameras installed are observed then there would be a 0.10748402% chance that the population mean would either be less than 4 or greater than 4.8. There is a 0.10748402% chance of a Type I error. If the population mean number of accidents per year at intersections with cameras installed is 4.2 and if another 43 intersections with cameras installed are observed then there would be a 0.10748402% chance that the sample mean for these 43 intersections with cameras installed would either be less than 4 or greater than 4.8. Interpret the level of significance in the context of the study. If the population population mean number of accidents per year at intersections with cameras installed is different from 4.2 and if another 43 intersections with cameras installed are observed then there would be a 10% chance that we would end up falsely concuding that the population mean number of accidents per year at intersections with cameras installed is equal to 4.2. If the population mean number of accidents per year at intersections with cameras installed is 4.2 and if another 43 intersections with cameras installed are observed then there would be a 10% chance that we would end up falsely concuding that the population mean number of accidents per year at intersections with cameras installed is different from 4.2. There is a 10% chance that you will get in a car accident, so please wear a seat belt. There is a 10% chance that the population mean number of accidents per year at intersections with cameras installed is different from 4.2.

The Bureau of Labor Statistics reported that the average yearly income of dentists in the year 2011 was $110,000. A sample of 81 dentists, which was taken in 2012, showed an average yearly income of $120,000. Assume the standard deviation of the population of dentists’ incomes in 2012 is $36,000.

a. We want to test to determine if there has been a significant increase in the average yearly income of dentists. Provide the null and the alternative hypotheses

b. Compute the test statistic.

c. Test the hypotheses at 95% confidence.

A man gets a job with a salary of 38600 dollars a year. He is promised a 2710 dollars raise each subsequent year.
His total earning for a 8-year period is

In a study of police gunfire reports during a recent year, it was found that among 540 shots fired by New York City police, 182 hit their targets; and among 283 shots fired by Los Angeles police, 77 hit their targets. We want to use a 0.05 significance level to test the claim that New York City police and Los Angeles police have the same proportion of hits. Show Work:

1. Test the claim using a hypothesis test.
2. Test the claim by constructing an appropriate confidence interval.    
3. What are the null and alternative hypotheses?
4. What is the value of α= significance level?
5. Is the test two-tailed, left-tailed or right-tailed?
6. What is the test statistic and what is its distribution?
7. What is the value of the test statistic?
8. What is the P-value?
9. What is (are) the critical value(s)?
10. How would you state a conclusion that addresses the original claim?

You are a genetic counselor and the year is 2035. All of the CRISPR technologies have become safe and reliable for therapeutic use in humans. One of your patients presents a wasting disease where they fail to produce enough collagen in their bones. You find no mutations in the coding region of the collagen gene and the protein is at healthy levels in all other tissues. Fully explain the steps that you would suggest to treat the disease, including what molecules are necessary for each step?

The regions with the six highest volumes of sales for a corporation last year are shown below. 1. Southwest 2. Northeast 3. Northern 4. Southeast 5. Western 6. Northwest Determine whether the data are qualitative or quantitative and identify the data​ set's level of measurement. Are the data qualitative or​ quantitative? Quantitative Qualitative What is the data​ set's level of​ measurement? A. Interval B. Nominal C. Ratio D. Ordinal

Wonka Incorporated, is a C corporation that operates and operates on a calendar year. The sole shareholder of the corporation is Willy Wonka. Wonka’s only business since its incorporation in 2015 has been land-surveying services. In Wonka’s state of incorporation, only a licensed surveyor can perform land surveying. Willy, Wonka’s only employee, is a licensed surveyor but he is not a licensed engineer. Upon audit of Wonka’s 2015 and 2016 tax returns, the IRS assessed tax deficiencies stemming from its conclusion that the corporation was a personal service corporation subject to the flat tax rate of 35%. Willy believes that the IRS’s determination is incorrect, and he has asked you for advice on how to proceed. Evaluate the IRS’s position regarding the treatment of Wonka Corporation as a personal service corporation, and prepare a memo for the client files describing the results of your research.

1) Over a typical year, when is the ozone concentration normal and when is it at its lowest? Explain why.  

2) Over many years going back as far as you can, describe any trends observed for the lowest annual concentrations observed. ( including support for answer).

3) Do you think the ozone layer is being replenished and the "hole" is filling in yet? ( including support for your answer)

In a survey of 2097 adults in a recent​ year, 1419 say they have made a New​ Year's resolution. Construct​ 90% and​ 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. Please breakdown the how you solve the answer. Thank you