1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zmey [24]
3 years ago
7

The estimate of the population proportion should be within plus or minus 0.02, with a 90% level of confidence. The best estimate

of the population proportion is 0.16. How large a sample is required
Mathematics
1 answer:
Rudiy273 years ago
5 0

Answer:

The sample size required is 910.

Step-by-step explanation:

The confidence interval for population proportion is:

CI=\hat p\pm z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }

The margin of error is:

MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }

Given:

\hat p = 0.16\\MOE= 0.02\\Confidence\ level =0.90

The critical value of <em>z</em> for 90% confidence level is:

z_{\alpha /2}=z_{0.10/2}=z_{0.05}=1.645 *Use a standard normal table.

Compute the sample size required as follows:

MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }\\0.02=1.645\times \sqrt{\frac{0.16(1-0.16)}{n} }\\n=\frac{(1.645)^{2}\times 0.16\times (1-0.16)}{(0.02)^{2}} \\=909.2244\\\approx910

Thus, the sample size required is 910.

You might be interested in
An expression can often be used to model a real-life situation. For each of the following expressions, write a real-life situati
Nostrana [21]

Answer:

Question

An expression can often be used to model a real-life situation. For each of the following expressions, write a real-life situation using money as the context. Then, evaluate the expression and interpret the result in terms of the situation. Here's an example.

The following situation is modeled by the expression -24.50 + 100.00: Jonathan overdrew his checking account by $24.50. He then transferred $100.00 from his savings account to his checking account. His new checking account total is $75.50.

Make sure to use complete sentences in your answers.

1) $8.15 + $11.99

2) $20 - $18.04

3) 7($1.45)

4) 42.08 / 4

It's too short. Write at least 20 characters to explain it well.

8 0
3 years ago
Please help ASAP!!!!!!!!!!!
Sergeeva-Olga [200]

Answer:

it's too blurryyyyyyyyyyyyyyyyyyyyy

4 0
3 years ago
The ratio of pencils to erasers is 4:1. If there are 20 pencils, how many erasers are there.
Leokris [45]

Answer: 5 Erasers

Step-by-step explanation: It's quite simple, really. You divide 20 by 4, (the number of pencils and the ratio number) and then you multiply whatever the quotient was by the ratio number for erasers.

3 0
3 years ago
En un partido de baloncesto, los máximos anotadores han sido Juan, Jorge y Mario. Juan ha logrado 19 puntos. Jorge 5 puntos más
Fantom [35]

Answer:

31

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Help me please.....,,,,,,,,,,,,
attashe74 [19]

Answer:

It has to be a positive number.

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
Other questions:
  • Write the following ratios<br> Tennis balls to tennis rackets
    8·1 answer
  • Does anybody have a REAL answer for this?
    9·1 answer
  • How many cubic feet are in 3 cubic yards?
    14·1 answer
  • caroline bought 6 pieces of gold ribbon. each piece was 3/5 of a yard long. How many yards of ribbon did she buy in all?
    5·1 answer
  • A girl scout troop makes $1100 in two weekends of selling cookies. If they continued at this rate, how much money would they mak
    6·1 answer
  • the system of equations y =-3x+2 and y =1/2 x -6 is shown on the graph below. What is a reasonable estimate for the solution&gt;
    9·2 answers
  • Divide. Write the answer in simplest form. 3=6= 8<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B8%7D%20%20%5Cdiv%206"
    9·1 answer
  • NEED ANSWERS QUICK, ITS VERY OVERDUE D:
    10·1 answer
  • On a beautiful autumn-like day, Kamar went for a run. He ran 6 miles away from his house. Later, he began to run back towards ho
    12·1 answer
  • Combine like terms <br> 4x+3(2x+5b)-4b-2x+6
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!