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
GenaCL600 [577]
3 years ago
15

One hundred five of the 195 members surveyed at a local gym say they worked out more often when they were in their twenties than

they did when they were teenagers. Calculate the margin of error (ME), rounded to the nearest tenth of a percent. Is it reasonable that the federal health department claims the percentage for the entire country is 48%? Justify your answer.
Hint: ME equals plus or minus two times square root of start fraction p hat left parenthesis one minus p hat right parenthesis over N end fraction end square root, where p hat is the yes proportion in the sample and N is the sample size


No, it is not reasonable because the ME is 2.9% and the population proportion of 48% falls outside the sample interval of 53.8% ± 3.6%

Yes, it is reasonable because the ME is 7.1% and the population proportion of 54% falls within the sample interval of 48.0% ± 7.1%

Yes, it is reasonable because the ME is 7.1% and the population proportion of 48% falls within the sample interval of 53.8% ± 7.1%

No, it is not reasonable because the ME is 6.7% and the population proportion of 48% falls outside the sample interval of 53.8% ± 6.7%
Mathematics
1 answer:
ddd [48]3 years ago
7 0
Yes, it is reasonable, because the ME is 7.1% and 48% falls within the range of 53.8% to 7.1%.

Calculating the ME:

ME=\pm 2\sqrt{\frac{\hat{p}(1-\hat{p})}{N}}=\pm 2\sqrt{\frac{0.54(0.46)}{195}}
=\pm 2\sqrt{\frac{0.2484}{195}}=0.071=7.1

The sample proportion was 53.8%.  This gives us 
53.8% +/- 7.1%
You might be interested in
3 increased by the product of 4 and a number is equal to the same number decreased by 6. What is the number
nasty-shy [4]

Answer:

1

Step-by-step explanation:


8 0
3 years ago
Compute: 3.5 x 2.4 x 0.01 <br><br><br><br> 0.84<br><br><br> 0.084<br><br><br> 0.0084
Georgia [21]
The answer is 0.084.
8 0
3 years ago
Volume of right cylinder r 30mm height 30mm
VMariaS [17]
The Volume is V= 84823. say thanks haha
5 0
3 years ago
I NEED HELP SOMEONE ASAP
Dvinal [7]

Answer:  x⁴y²⁰

Step-by-step explanation: Distribute the exponent ⁴ over the parentheses

(x y⁴)⁴ becomes x⁴y¹⁶  (multiply exponents)

then take the 4th root of y¹⁶  (divide the exponent of the radicand by the index)  ⁴√y¹⁶  becomes y⁴

Then multiply the factors. Add exponents

x⁴y¹⁶ * y⁴  becomes x⁴y²⁰

8 0
2 years ago
How do I solve 16 = 5x - 9
Darya [45]
16=5x_9

16=_9+5
16 +_5x=_9+5x+_5x

16 + -5x=_9+0
3 0
3 years ago
Read 2 more answers
Other questions:
  • Help with 10 please!
    10·1 answer
  • The radius r(t)r(t)r, (, t, )of a sphere is increasing at a rate of 7.57.57, point, 5 meters per minute. At a certain instant t_
    15·1 answer
  • Suppose Ellie makes a lamb stew in a 13-quart pot. If the diameter of the bottom of the pot is 14 inches, how big is the circumf
    13·1 answer
  • What is the percent decrease from 350 to 70?
    6·1 answer
  • Mr . Ellis drove 197 miles on Monday and 168 on Tuesday how many miles did he drive in all
    9·2 answers
  • 1. What is an extraneous solution of an equation?
    5·1 answer
  • A recipe that serves 8 people requires 1 and one fourth cups of sugar. Using this​ recipe, how many cups of sugar are needed to
    5·1 answer
  • The perimeter of a triangular garden is 48 feet. The lengths of two sides are 18 feet and 22 feet. How long is the third side?
    12·1 answer
  • Cash deposit into Nepal bank Rs. 50000​<br> ?
    10·1 answer
  • Simplify the expression. -17+[(8-3)-(-14-19)]=
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!