1. In a study of red/green color blindness, 850 850 men and 2950 2950 women are randomly selected and tested. Among the men, 79 79 have red/green color blindness. Among the women, 8 8 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness. The test statistic is The p-value is Is there sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women using the 0.01 0.01 % significance level? A. Yes B. No 2. Construct the 99 99 % confidence interval for the difference between the color blindness rates of men and women. <( p 1 − p 2 )< <(p1−p2)< Which of the following is the correct interpretation for your answer in part 2? A. We can be 99 99 % confident that the difference between the rates of red/green color blindness for men and women lies in the interval B. We can be 99 99 % confident that that the difference between the rates of red/green color blindness for men and women in the sample lies in the interval C. There is a 99 99 % chance that that the difference between the rates of red/green color blindness for men and women lies in the interval D. None of the above

A recent study on serious car accidents involving male drivers aged 18-24 found that 50% of the accidents were caused by excessive speed, 30% of the accidents caused by mobile phone use and 10% of the accidents involved the driver speeding and using his mobile phone.

Hint: Use a Venn diagram to help answer the following questions about the serious car accidents

1. What is the probability that an accident was caused by speeding alone?

2. What is the probability that neither speeding nor mobile phone use were involved?

3. What is the probability that an accident was caused by speeding or mobile phone use?

4. If a driver was speeding, what is the probability that he was also using his mobile?

e) Are speeding and mobile use mutually exclusive events? Explain.              

f) Are speeding and mobile use independent events? Explain

A survey asked students for their college and their satisfaction with their program. The results are provided in the tables below.

Determine if there is a relationship between college and satisfaction at the 0.05 level of significance.

H₀: College and Satisfaction are independent.

H_a: College and Satisfaction are dependent.

Determine the critical value from the chart. Explain what chart you used and how you found the value.

Determine the test statistic from your calculator. Explain what test you used in the calculator and the information you entered into the calculator.

Using your critical value and test statistic, state your conclusion. Explain how you arrived at your conclusion.

What is the conclusion in context?

A cross-sectional study was conducted on the association between passive smoke inhalation and the occurrence of dental caries in children. (Passive smoke exposure occurs when children live with family members who smoke.) The investigators thought that conclusions from this study were limited because of the cross-sectional nature of the data. Suppose that they asked you for advice and you told them that they should have conducted a prospective cohort study because it is a better study design.

a. Briefly describe the specific limitation of a cross-sectional study is avoided by conducting a prospective cohort study.

b. The investigators take your advice and hire you to help them design a new prospective cohort study. They want to know if they should use a special or a general cohort to assemble the exposed population. Briefly describe each of these options, tell them which one is best in this setting, and explain your reasons.

c. The investigators also ask you about the options for selecting a comparison group in a cohort study. Briefly describe the three different options and state which one is best in this setting and why.

FOR HTML Web scripting

Complete the following:

• Create and test an HTML document that has six short paragraphs of text that describe various aspects of the state in which you live. You must define three different paragraph styles, p1, p2, and p3. The p1 style must use left and right margins of 20 pixels, a background color of pink, and a foreground color of blue. The p2 style must use left and right margins of 30 pixels, a background color of black, and a foreground color of yellow. The p3 style must use a text indent of 1 centimeter, a background color of green, and a foreground color of white. The first and fourth paragraphs must use p1, the second and fifth must use p2, and the third and sixth must use p3.  Modify your index.html page to include a link to this page.
• Create and test an HTML document that describes nested ordered lists of cars. The outer list must have three entries: compact, midsize, and sports. Inside each of these three lists there must be two sublists of body styles. The compact- and midsize-car sublists are two door and four door; the sports-car sublists are coupe and convertible. Each body-style sublist must have at least three entries, each of which is the make and model of a particular car that fits the category. The outer list must use uppercase Roman numerals, the middle lists must use uppercase letters, and the inner lists must use Arabic numerals. The background color for the compact-car list must be pink; for the midsize-car list, it must be blue, for the sports-car list, it must be red. All styles must be in a document style sheet.  Modify your index.html page to include a link to this page.

There are 35 identically sized balls in a box, where 5 of each of the colors are present: red, orange, yellow, green, blue, indigo, and violet. Justify your answer for each.

a. Suppose you draw a sample of seven balls without replacement from the box. What is the probability that the sample contains balls of exactly two colors? (for example, the event for which you have 4 red and 3 blue would satisfy)

b. Suppose you draw a sample of seven balls with replacement from the box (you draw one, then replace, draw one, then replace, and so on). What is the probability that the sample contains balls of exactly two colors?

c. Suppose you draw a sample of three balls without replacement. Define ? to be the random variable on the number of red balls in the sample and ? the random variable on the number of orange balls in the sample. Find the joint probability distribution function ??,?(?, ?) for the random variables ? and

Shanghai Enterprises has asked for your assistance in preparing a cash budget for the month of December 2020 and has provided projected sales revenue data below:

Projected sales: October 2020 $144,000

November 2020 $205,000

December 2020   $220,000

All sales are on credit with 65% collected during the month of sale, 18% collected during the month following the sale, 15% during the second month after the sale and 2% uncollectable.

Required:

a) Prepare the cash receipts section of a cash budget for Shanghai Enterprises for the month of December 2020.

b) Explain how Shanghai Enterprises would go about constructing a cash budget for the first three months of 2021. Note that Shanghai plans to purchase a major piece of equipment costing $500,000 in February 2021.

Please solve a and b both as I need help in both the sections. Thanks for the help:)

A 1980 study was conducted whose purpose was to compare the indoor air quality in offices
where smoking was permitted with that in offices where smoking was not permitted. Measurements were made
of carbon monoxide (CO) at 1:20 p.m. in 36 work areas where smoking was permitted and 36 work areas where
smoking was not permitted. In the sample where smoking was permitted, the mean CO = 11.6 parts per million
(ppm) and the standard deviation CO = 7.3 ppm. In the sample where smoking was not permitted, the mean CO
= 6.9 ppm and the standard deviation CO = 2.7 ppm. Test for whether or not the mean CO is significantly (α =
0.05) different in the two types of working environments.
(a) What is the null hypothesis for this problem? What is the alternative hypothesis?
(b) For this problem, would you perform a one- or two-tailed test? Explain how you reached that decision.
(c) Determine which procedure (you have learned five situations) is the appropriate statistical test to use, with
a clear explanation for your choice.
(d) Using your calculator, test the null hypothesis and present your results. Show all your work.
(e) Using statistical language (“statistic-ese”), state your conclusion and your reasoning for reaching this
conclusion. Then restate your conclusion, this time in English instead of “statistic-ese,” without including
statistical symbols or the term hypothesis. (What is the answer to the researcher’s question?)
(f) State, based on your conclusion, whether you may have committed a Type I error or a Type II error, and
what that means.

Gallup recently conducted a survey about the proportion of Americans who use e-cigarettes (vape). The following example is based on hypothetical data that is meant to be similar to the data collected by Gallup.

The following table considers survey data about annual household income and whether or not a person vapes.

Problem 1. Based on recent data, about 28% of Americans earn less than $35,000 annually, about 42% of Americans earn between $35,000 and $99,999 annually, and about 30% of Americans earn more than $100,000. Does it appear that the sample is representative of the population? In other words, does it appear that the total people in each income category matches the appropriate proportion? Conduct a chi-square goodness of fit test at the 5% significance level by completing the following steps:

1. State the null and alternative hypotheses in words.
2. Compute the expected frequencies for each of the three category. Be sure to show your work.
3. Compute the test statistic using the observed frequencies from the table and the expected frequencies you computed in part (b).
4. State the degrees of freedom and find the critical value.
5. Answer the question: does it appear that the sample is representative of the population? Justify using either the critical value method or p-value method.

Upon successful completion of the MBA program, imagine you work in the analytics department for a consulting company. Your assignment is to analyze the following databases: Hospital

Provide a detailed, four part, statistical report with the following sections:

Part 1 - Preliminary Analysis

Part 2 - Examination of Descriptive Statistics

Part 3 - Examination of Inferential Statistics

Part 4 - Conclusion/Recommendations

Part 1 - Preliminary Analysis Generally, as a statistics consultant, you will be given a problem and data. At times, you may have to gather additional data. For this assignment, assume all the data is already gathered for you.

State the objective: What are the questions you are trying to address? Describe the population in the study clearly and in sufficient detail: What is the sample? Discuss the types of data and variables: Are the data quantitative or qualitative? What are levels of measurement for the data?

Part 2 - Descriptive Statistics Examine the given data. Present the descriptive statistics (mean, median, mode, range, standard deviation, variance, CV, and five-number summary). Identify any outliers in the data. Present any graphs or charts you think are appropriate for the data. Note: Ideally, we want to assess the conditions of normality too. However, for the purpose of this exercise, assume data is drawn from normal populations.

Part 3 - Inferential Statistics Use the Part 3: Inferential Statistics document. Create (formulate) hypotheses Run formal hypothesis tests Make decisions. Your decisions should be stated in non-technical terms. Hint: A final conclusion saying "reject the null hypothesis" by itself without explanation is basically worthless to those who hired you. Similarly, stating the conclusion is false or rejected is not sufficient.

Part 4 - Conclusion and Recommendations Include the following: What are your conclusions? What do you infer from the statistical analysis? State the interpretations in non-technical terms. What information might lead to a different conclusion? Are there any variables missing? What additional information would be valuable to help draw a more certain conclusion?