Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that the professor has underestimated the number of students with part-time or full-time jobs. A random sample of 80 students shows that 38 have jobs. Do the data indicate that more than 35% of the students have jobs? Use a 5% level of significance.

What are we testing in this problem?

single proportionsingle mean    

(a) What is the level of significance?


State the null and alternate hypotheses.

H₀: p = 0.35; H₁: p > 0.35H₀: μ = 0.35; H₁: μ ≠ 0.35    H₀: μ = 0.35; H₁: μ > 0.35H₀: p = 0.35; H₁: p ≠ 0.35H₀: p = 0.35; H₁: p < 0.35H₀: μ = 0.35; H₁: μ < 0.35

(b) What sampling distribution will you use? What assumptions are you making?

The Student's t, since np < 5 and nq < 5.The standard normal, since np > 5 and nq > 5.    The standard normal, since np < 5 and nq < 5.The Student's t, since np > 5 and nq > 5.

What is the value of the sample test statistic? (Round your answer to two decimal places.)


(c) Find (or estimate) the P-value.

P-value > 0.2500.125 < P-value < 0.250    0.050 < P-value < 0.1250.025 < P-value < 0.0500.005 < P-value < 0.025P-value < 0.005

Sketch the sampling distribution and show the area corresponding to the P-value.

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?

At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.    At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

(e) Interpret your conclusion in the context of the application.

There is sufficient evidence at the 0.05 level to conclude that more than 35% of the students have jobs.There is insufficient evidence at the 0.05 level to conclude that more than 35% of the students have jobs.

Mr. and Mrs. Evans are an African American couple who retired from the school system last year. Both are 65 years of age and reside on 20 acres of land in a large rural community approximately 5 miles from a Superfundsite and 20 miles from two chemical plants. Their household consists of their two daughters, Anna, aged 40 years, and Dorothy, aged 42 years; their grandchildren, aged 25, 20, 19, and 18; and their 2-year-old great-grandson. Anna and Dorothy and their children all attended the university.

Mr. Evans’s mother and three of his nieces and nephews live next door. Mr. Evans’s mother has brothers, sisters, other sons and daughters, grandchildren, and great-grandchildren who live across the road on 10 acres of land. Other immediate and extended family live on the 80 acres adjacent to Mr. Evans’s mother. All members of the Evans family own the land on which they live. Mrs. Evans has siblings and extended family living on 70 acres of land adjacent to Mr. Evans’s family, who live across the road. Mr. and Mrs. Evans also have family living in Chicago, Detroit, New York, San Francisco, and Houston. Once a year, the families come together for a reunion. Every other month, local family members come together for a social hour. The family believes in strict discipline with lots of love. It is common to see adult members of the family discipline the younger children, regardless of who the parents are.

Mr. Evans has hypertension and diabetes. Mrs. Evans has hypertension. Both are on medication. Their daughter Dorothy is bipolar and is on medication. Within the last 5 years, Mr. Evans has had several relatives diagnosed with lung cancer and colon cancer. One of his maternal uncles died last year from lung cancer. Mrs. Evans has indicated on her driver’s license that she is an organ donor.

Sources of income for Mr. and Mrs. Evans are their pensions from the school system and Social Security. Dorothy receives SSI because she is unable to work any longer. Mr. Evans and his brothers must assume responsibility for their mother’s medical bills and medication. Although she has Medicare parts A and B, many of her expenses are not covered. Mr. and Mrs. Evans, all members of their household, and all other extended family in the community attend a large Baptist church in the city. Several family members, including Mr. and Mrs. Evans, sing in the choir, are members of the usher board, teach Bible classes, and do community ministry.

Study Questions

1. Describe the organizational structure of this family and identify strengths and limitations of this family structure.

2. Describe and give examples of what you believe to be the family’s values about education.

3. Discuss this family’s views about child rearing.

4. Discuss the role that spirituality plays in this family.

5. Identify two religious or spiritual practices in which members of the Evans family may engage for treating hypertension, diabetes, and mental illness.

6. Identify and discuss cultural views that Dorothy and her parents may have about mental illness and medication.

7. To what extent are members of the Evans family at risk for illnesses associated with environmental hazards?

8. Susan has decided to become an organ donor. Describe how you think the Evans family will respond to her decision.

9. Discuss views that African Americans have about advanced directives.

10. Name two dietary health risks for African Americans.

11. Identify five characteristics specific to African Americans to consider when assessing the skin of African Americans.

12. Describe two taboo views that African Americans may have about pregnancy.

John and Eric are childhood friends who went to school and university together. After graduation, John moved to Spain where he joined his family and started a business exporting authentic Spanish Artwork to clients around the World. Eric operates a retail store in Brazil, and the two friends agreed to start a business together. John would send artwork to Eric who would sell it in his store at a reasonable price. John shipped the Artwork by mail to ensure quick, timely delivery. Eric verbally agreed to pay John 30 days after shipment and they would split the profits equally, with each party getting 50 percent. 45 days after shipment, John contacted Eric to see how things were progressing. Eric informed John that the Artwork had not sold. He indicated some potential buyers had shown interest but thought the art was priced too high. A month later, John called Erik to follow up and collect funds. Eric mentioned he had no cash on hand and his financial situation made it impossible to make any payments for the moment. Eric gave John the option to either take the frames back or sell them at cost. John is unable to obtain assistance from any of his friends and lawyers as there are no written contractual agreements signed. 4 months later, John followed up one last time. Eric mentioned he sold the frames for 25 percent of the asking price, and he did not transfer any funds for payment of artwork and additional costs. John lost $9,000 worth of goods and a friend that he trusted.

Note: No Plagiarism, Each answer minimum of 100 words.

1. What mistakes did John make during his negotiation that led to this loss? *

2.Is there anything John can legally do now to minimize his loss in this transaction? *

3. How would you negotiate differently in a similar future transaction to avoid this situation at the end? *

The Studious Frog provides study support and tutoring services for high school students during their finals. All services require cash payment in advance. Studious Frog provides an Finals Prep course for $480, as well as a Post- Finals Review course for $120. The finals prep course takes place before the students have their final tests, and the finals review course takes place after finals are complete. During December 2022, The Studious Frog offered a promotional package where students could purchase a package for both courses for the price of $580. On December 10, a total of 100 promotional packages were sold for cash, and on the same day, the Finals Prep course was provided. On December 31, the Post-Finals Review course was provided.

Using the five-step model for revenue recognition under the contract-based approach, record all necessary transactions related to the promotional package sold by The Studious Frog Services

9. An engineering school reports that 56% of its students were male (M), 35% of its students were between the ages of 18 and 20 (A), and that 25% were both male and between the ages of 18 and 20.What is the probability of choosing a random student who is a female or between the ages of 18 and 20? Assume P(F) = P(not M). Your answer should be given to two decimal places.

10. An engineering school reports that 55% of its students were male (M), 30% of its students were between the ages of 18 and 20 (A), and that 24% were both male and between the ages of 18 and 20.What is the probability of a random student being male or between the ages of 18 and 20? Your answer should be rounded to two decimal places.

11. Let A and B be two independent events such that P(A) = 0.37 and P(B) = 0.53.
What is P(A or B)? Your answer should be given to 4 decimal places.

12. Let A and B be two independent events such that P(A) = 0.1 and P(B) = 0.8.
What is P(A and B)? Your answer should be given to 2 decimal places.

13. Let A and B be two disjoint events such that P(A) = 0.25 and P(B) = 0.03.
What is P(A and B)?

14. Let A and B be two disjoint events such that P(A) = 0.27 and P(B) = 0.52.
What is P(A or B)?

Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05.

He takes 5 shots. What is the probability he makes at least 3 shots? (Hint: a tree diagram might be a helpful strategy)

This assignment is worth 10 marks. Use the following information to guide your work:

3 marks for showing possible outcomes
5 marks for showing work
1 mark for a correct strategy to find final probability
1 mark for correct final probability

PLEASE ANSWER WITH A TREE DIAGRAM AND PLEASE DO NOT ANSWER WITH WORK SOMEONE PREVIOUSLY POSTED!!

1. Rachael runs 2 km to her bus stop, and then rides 4.5 km to school. On average, the bus is 45 km/h faster than Rachael’s average running speed. If the entire trip takes 25 min, how fast does Rachael run?

2. Write an equation of a rational function that satisfies all of these conditions

● Vertical asymptote at x = -8 and x = 5

● Horizontal asymptote at y = 0

● x-intercept at (-2, 0)

● f(0) = -2

● has a hole at x = 3

Q1 You operate a small nonprofit that provides subsidized tutoring services to high school students in underserved areas. Approximately 60% of the direct costs of tutoring are billed to schools attended by your clients, while approximately 20% are billed directly to the students. The remainder comes from general operating funds provided by foundations and individual donations. Assume that you know the following:

• Of the funds billed directly to schools, two thirds are paid in the month following delivery of service, with the remainder paid the next month (that is, two months following delivery of services).

• Of the funds billed to families, 80 percent are paid in the month following delivery of service; 10 percent are paid the following month; and 10% are not paid at all.

• In January, February, and March, your agency accrues expenses for services provided of $30,000; $36,000; and $27,000 respectively.

Given this information, what would you expect the cash budget to show as direct operating receipts for the month of March?

Q.2 In a sentence or two, explain how you calculated the answer to question (the previous question). Please tell me the steps and logic of the mat

How do California high school students compare to students nationwide in their college readiness, as measured by their SAT scores? The national average scores for the class of 2017 were 533 on Evidence-Based Reading and Writing and 527 on the math portion.† Suppose that 100 California students from the class of 2017 were randomly selected and their SAT scores were recorded in the following table.

(a)

Do the data provide sufficient evidence to indicate that the average Evidence-Based Reading and Writing score for all California students in the class of 2017 differs from the national average? Use

α = 0.05.

State the null and alternative hypotheses.

H₀: μ ≠ 527 versus H_a: μ = 527H₀: μ = 533 versus H_a: μ > 533    H₀: μ = 533 versus H_a: μ < 533H₀: μ < 527 versus H_a: μ > 527H₀: μ = 533 versus H_a: μ ≠ 533

Find the test statistic and the p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.)

z=p-value=

State your conclusion.

a)The p-value is greater than alpha, so H₀ is not rejected. There is sufficient evidence to indicate that the average Evidence-Based Reading and Writing score for all California students in the class of 2017 is different from the national average.

b)The p-value is less than alpha, so H₀ is rejected. There is sufficient evidence to indicate that the average Evidence-Based Reading and Writing score for all California students in the class of 2017 is different from the national average.  

c)The p-value is greater than alpha, so H₀ is not rejected. There is insufficient evidence to indicate that the average Evidence-Based Reading and Writing score for all California students in the class of 2017 is different from the national average.

D)The p-value is less than alpha, so H₀ is rejected. There is insufficient evidence to indicate that the average Evidence-Based Reading and Writing score for all California students in the class of 2017 is different from the national average.

(b)

Do the data provide sufficient evidence to indicate that the average math score for all California students in the class of 2017 is different from the national average? Use

α = 0.05.

State the null and alternative hypotheses.

H₀: μ = 533 versus H_a: μ > 533

H₀: μ = 533 versus H_a: μ < 533   

H₀: μ = 527 versus H_a: μ ≠ 527

H₀: μ < 527 versus H_a: μ > 527

H₀: μ ≠ 527 versus H_a: μ = 527

Find the test statistic and the p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.)

z=p-value=

State your conclusion.

The p-value is less than alpha, so H₀ is rejected. There is sufficient evidence to indicate that the average math score for all California students in the class of 2017 is different from the national average.

The p-value is greater than alpha, so H₀ is not rejected. There is insufficient evidence to indicate that the average math score for all California students in the class of 2017 is different from the national average.

   The p-value is less than alpha, so H₀ is rejected. There is insufficient evidence to indicate that the average math score for all California students in the class of 2017 is different from the national average.

The p-value is greater than alpha, so H₀ is not rejected. There is sufficient evidence to indicate that the average math score for all California students in the class of 2017 is different from the national average.

Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05. He takes 5 shots. What is the probability he makes at least 3 shots?

Please answer with a tree diagram and all the outcomes. As simple and clear as possible please