Question

In: Statistics and Probability

Please show all work. Suppose medical researchers think that 0.70 is the proportion of all teenagers...

Please show all work.

Suppose medical researchers think that 0.70 is the proportion of all teenagers with high blood pressure whose blood pressure would decrease if they took calcium supplements. To test this theory, the researchers plan a clinical trial (experiment) in which 200 randomly selected teenagers with high blood pressure will take regular calcium supplements.

(a) Assume 0.70 actually is the population proportion that would experience a decrease in blood pressure. What are the numerical values of the mean and standard deviation of the sampling distribution of the sample proportions for samples of 200 teenagers?

(b) In the clinical trial, 120 of the 200 teenagers taking calcium supplements experienced a decrease in blood pressure. What is the value of for this sample? Is this value a parameter or a statistic?

(c) What is the probability of having 120 or fewer experience a decrease of blood pressure out of a sample of 200 teenagers taking calcium supplements?

Solutions

Expert Solution

ANSWER::

a)

b)

c)

In order to find the Required probability we define the standard random variable Z as ​​​​​​

Then using normal table we have

NOTE:: I HOPE YOUR HAPPY WITH MY ANSWER....***PLEASE SUPPORT ME WITH YOUR RATING...

***PLEASE GIVE ME "LIKE"...ITS VERY IMPORTANT FOR ME NOW....PLEASE SUPPORT ME ....THANK YOU


Related Solutions

please show all work A travel agent wants to estimate the proportion of vacationers who plan...
please show all work A travel agent wants to estimate the proportion of vacationers who plan to travel outside the United States in the next 12 months. A random sample of 130 vacationers revealed that 40 had plans for foreign travel in that time frame. Construct a 95% confidence interval estimate of the population proportion. Make a statement about this in context of the problem
Researchers think that there are both positive and negative effects of social media on teenagers and...
Researchers think that there are both positive and negative effects of social media on teenagers and young adults. Please respond to both questions. 1) What are the positive and negative impacts on adolescent health of cell phone and social media technologies? 2) How can electronic media enhance the health and well-being of adolescents?
Please show all the work. Suppose that the energy available in a certain plant population is...
Please show all the work. Suppose that the energy available in a certain plant population is 10,000 Joules. Calculate the proportion (percent) of that biomass that will be available as energy to the tertiary consumers in that ecosystem.
Please answer all parts of the question. Please show all work and all steps. 1a.) Show...
Please answer all parts of the question. Please show all work and all steps. 1a.) Show that the solutions of x' = arc tan (x) + t cannot have maxima 1b.) Find the value of a such that the existence and uniqueness theorem applies to the ivp x' = (3/2)((|x|)^(1/3)), x(0) = a. 1c.) Find the limits, as t approaches both positive infinity and negative infinity, of the solution Φ(t) of the ivp x' = (x+2)(1-x^4), x(0) = 0
Show that ?̅ is an unbiased estimator for ?. ( please show all work completely)
Show that ?̅ is an unbiased estimator for ?. ( please show all work completely)
Please show all work and calculations for a thumbs up! Suppose a company has a forklift...
Please show all work and calculations for a thumbs up! Suppose a company has a forklift but is considering purchasing a new electric lift truck that would cost $230000 and has operating cost of $25000 in the first year. For the remaining years, operating costs increase each year by 5% over the previous year’s operating costs. It loses 15% of its value every year from the previous year’s salvage value. The lift truck has a maximum life of 4 years....
Please show all work. Suppose the U.S. yield curve is flat at 6% and the euro...
Please show all work. Suppose the U.S. yield curve is flat at 6% and the euro yield curve is flat at 4%. The current exchange rate is $1.3 per euro. What will be the swap rate on an agreement to exchange currency over a 3-year period? The swap will call for the exchange of 2.7 million euros for a given number of dollars in each year.
Show all work please. 3. Suppose the production function (technology) is given as q = min...
Show all work please. 3. Suppose the production function (technology) is given as q = min {2x1,6x2}, where both inputs x1 and x2 are able to vary. What kind of technology is this function? What is the corresponding cost function as a function of w1, w2, and q? Solve for this cost if w1 = 24, w2 = 18, and q = 2.
[Please show all work - thanks] Suppose an agent has $100,000 today that he wants to...
[Please show all work - thanks] Suppose an agent has $100,000 today that he wants to save for 10 years. Compare the following two savings plans. Bank A offers the following alternative: For the first $50,000 the agent obtains 8% p.a. (per annum) for 10 years. For the other amount he obtains 4% p.a. for the first four years. Then he obtains 1% p.a. Bank B offers the following alternative: The interest in year 1 is 2%, in year 2...
Please solve all parts of the following question. Please show all work and all steps. 1a.)...
Please solve all parts of the following question. Please show all work and all steps. 1a.) Solve x' = x + 3y + 2t y' = x - y + t^2 1b.) Solve x' + ty = -1 y' + x' = 2 1c.) Solve x' + y = 3t y' - tx' = 0
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT