A survey of schoolchildren aged 7-8 years in a rural district aims to estimate the prevalence of malaria. A previous study found the prevalence of malaria to be 40%. What should be the size of the sample of schoolchildren to give a 95% chance of observing the prevalence rate to within 5% of the true value?

Answers

Answer 1
Answer:

Answer:

384

Explanation:

To determine the sample size needed, we can use the formula for sample size calculation in a survey:

\[ n = \frac{Z^2 \times p \times (1-p)}{E^2} \]

Where:

- \( n \) = required sample size

- \( Z \) = Z-score corresponding to the desired confidence level (for 95% confidence, Z-score is approximately 1.96)

- \( p \) = estimated prevalence rate (0.40)

- \( 1-p \) = complementary probability to the estimated prevalence rate

- \( E \) = desired margin of error (0.05, as 5% of the true value)

Plugging in the values:

\[ n = \frac{(1.96)^2 \times 0.40 \times (1 - 0.40)}{(0.05)^2} \]

\[ n = \frac{3.8416 \times 0.24}{0.0025} \]

\[ n \approx 369.7856 \]

Rounding up to ensure an adequate sample size, the required sample size should be approximately 370 schoolchildren to achieve a 95% chance of observing the prevalence rate within 5% of the true value.

Answer 2
Answer:

Final answer:

The size of the sample of schoolchildren should be approximately 36880 to give a 95% chance of observing the prevalence rate to within 5% of the true value.

Explanation:

To calculate the required sample size, we can use the formula:

n = (Z^2 * p * (1-p)) / E^2

Where:

  • n is the required sample size
  • Z is the Z-score corresponding to the desired confidence level
  • p is the estimated prevalence
  • E is the margin of error

In this case, the desired confidence level is 95%, which corresponds to a Z-score of approximately 1.96. The estimated prevalence of malaria is 40%, which can be expressed as 0.4. The margin of error is 5%, which can be expressed as 0.05.

Substituting these values into the formula:

n = (1.96^2 * 0.4 * (1-0.4)) / 0.05^2

Simplifying the equation:

n = (3.8416 * 0.24) / 0.0025

n = 92.1984 / 0.0025

n ≈ 36879.36

Rounding up to the nearest whole number, the required sample size is approximately 36880.

Learn more about sample size calculation for estimating prevalence here:

brainly.com/question/33568753

#SPJ14


Related Questions

The accuracy and reliability of information presented in a company's annual report, including its financial statements and their accompanying notes, is primarily the responsibility of _______
Management is the attainment of organizational goals in an effective and efficient manner through ______, ______, ______, and ______ organizational resources.
What are the major causes of small-business failure? Do these causes also apply to larger businesses?
A cost associated with home buying would be:
in the computer market, $500 is the price at which quantity supplied equals quantity demand. so $500 is the___.

The Fed manages the country's money in three main ways. Which practice is described below?The government is able to regulate the amount of money available to banks for lending through the purchase and sale of government securities, such as savings bonds.

Answers

Answer:

Open Market Operations

Explanation:

In open market operations, government controls the flow of money in their country. If government wants to decrease the flow of money then it provide authorized dealers with saving bonds which will be sold to general public. When public buy these bonds then flow of money is decreased in market.

If government wants to increase the flow of money then it buys back all bonds and securities hence increasing flow of money.

- through Purchase and sale of Government Securities ( which commonly known as open market policy)

- By controlling the discount rate

- By Changing the reserve requirements

Factors that can effect prices could include advances in technology, changes in prices of raw materials or new government taxes.a. True
b. False

Answers

It is true that factors that can affect prices could include advances in technology, changes in prices of raw materials or new government taxes.

As price falls along a downward sloping ordinary demand curve (in the x1, p1 plane), consumer utility will Group of answer choices rise. rise if the income effect is LESS than the substitution effect. fall. fall if the income effect is GREATER than the substitution effect. rise if the income effect is GREATER than the substitution effect. rise if the income effect is LESS than the substitution effect.

Answers

Answer:

c. rise if the income effect is GREATER than the substitution effect.

Explanation:

The substitution effect refers to how changes in the price of a product or service affects our consumption of them, e.g. if the price of brand X increases too much, then we might decide to buy brand Y.

On the other hand, the income effect refers to how a change in our level changes our consumption habits, e.g. luxury goods tend to be extremely elastic, since earning more income results in much higher levels of consumption.

Since the price of the product is falling, the substitution effect is not likely to occur, instead, consumer utility might increase due to higher purchasing power, i.e. you can purchase more units spending the same amount of money.

Of the following sets of accounting entries, which one correctly records the purchase of a piece of equipment? A : a $15,000 increase in cash and a $15,000 decrease in equipment, both entered on the same date B : a $5,000 decrease in cash, a $15,000 increase in notes payable, and a $20,000 increase in equipment, all entered on the same date C : a $14,000 decrease in cash, a $4,000 increase in notes payable, and a $10,000 increase in equipment, all entered on the same date D : a $16,000 decrease in notes payable and a $16,000 increase in equipment, both entered on the same date

Answers

Answer: The correct answer is  B : a $5,000 decrease in cash, a $15,000 increase in notes payable, and a $20,000 increase in equipment, all entered on the same date.

Explanation: The option B is correct because we are accounting for a purchase of a piece of equipment. The options in the questions show that the purchase was partly through cash and partly through notes payable. Since that is the case, the appropriate entries should record a cash outflow (credit to cash to decrease it), increase in notes payable as a result (credit to notes payable to increase) and subsequently, increase in equipment (debit to equipment). So, the total credits equal the total debit.

The previous graph you constructed should show that net exports from Japan would be negative if the price of yen increased to a high enough level,such as an amount greater than $10 per 1,000 yen. If you convert this price into the form typically quoted in the newspaper, this price corresponds to_____yen per dollar.

Answers

Final answer:

The price traditionally quoted in newspapers would be the equivalent of less than 100 yen per dollar when it reaches an amount greater than $10 per 1,000 yen

Explanation:

The question is asking you to convert from $10 per 1,000 yen to the equivalent price quoted in yen per dollar. To get the equivalent price in yen per dollar, you take the inverse of the given rate. So 10/1,000 yen becomes 1,000 yen/$10.

This simplifies to 100 yen per dollar. That's because the dollar as the denominator and yen as the numerator gives us the yen per dollar exchange rate. Therefore, the rate of an amount greater than $10 per 1,000 yen corresponds to less than 100 yen per dollar.

Learn more about Currency Conversion here:

brainly.com/question/35076756

#SPJ3

Answer:

0.1 yen per dollar?  if i got it wrong sorry

Explanation:

Since 10 divided by 1000 would be 0.1 yen wait is it the other way around?

__________ is one of the key factors in effective teams.a. Building trust
b. A good leader
c. Clear rules
d. A goal handed down from upper management

Answers

All if the above are all good but i would say building trust is the most important i think is Teamwork