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
Georgia [21]
2 years ago
12

Legalize Marijuana, Part II. As discussed in Exercise 6.12, the 2010 General Social Survey reported a sample where about 48% of

US residents thought marijuana should be made legal. If we wanted to limit the margin of error of a 95% confidence interval to 2%, about how many Americans would we need to survey
Mathematics
1 answer:
kvv77 [185]2 years ago
8 0

Answer:

Around 2397 Americans must be surveyed to get a margin of error of 2%.

Step-by-step explanation:

We are given the following in the question:

Proportion of US residents who thinks marijuana should be made legal = 48%

\hat{p} = 0.48

We have to construct a 95% confidence interval.

Margin of error = 2% = 0.02

Formula for margin of error =

z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get,

0.02 = 1.96\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\0.02 = 1.96\times \sqrt{\dfrac{0.48(1-0.48)}{n}}\\\\\sqrt{n} = 1.96\times \dfrac{\sqrt{0.48(1-0.48)}}{0.02}\\\\\sqrt{n}=48.96\\n = 2397.0816\approx 2397

Thus, around 2397 Americans must be surveyed to get a margin of error of 2%.

You might be interested in
Can someone help? It’s for geometry
Maru [420]
What’s your question?
3 0
3 years ago
Read 2 more answers
Please help I will mark you brainliest​
ddd [48]
Kbivivivogxoyxoycoycoycoycoycoycoycoyco
8 0
3 years ago
The perimeter of a regular hexagon is ninety-six centimetres. Find the length of each side.​
rusak2 [61]

Answer:

54cm, which is one side length

Step-by-step explanation:

The sum of all of the sides are 6, it's a regular hexagon the perimemter is just six times one side 36cm

Hope It Helps!

8 0
3 years ago
Writing proportions
maxonik [38]

Answer:

I think you would do $9.70 times 2. Afterward, you would divide 9.70 by 5 which gives you 1.94. Finally, you add them together, leaving you with. 11.64. I hope I helped with this.

:D

7 0
2 years ago
Read 2 more answers
Please help the problem is below.
Anna007 [38]

Answer:

1. $1,122
2. $485.25

3. $440

4. $2,047.25

Step-by-step explanation:

1. 22 feet * 17 feet = 374 square feet * $3 per square foot = $1,122
2. 17 feet * 10 feet * 4 walls = 680 square feet. 680 feet - (7ft*3ft for the door) - (2*2ft*3ft for the windows) = 647 square feet * $0.75 per square foot = $485.25
3. 374 square feet/ $88 per gallon = 4.25 gallons which rounds up to 5 gallons, and 5 gallons at a cost of $88 per gallon = $440
4. $1,122 + $485.25 + $440 = $2,047.25

6 0
2 years ago
Other questions:
  • What is the probability of getting a 7 after rolling a single die numbered 1 to 6?
    5·1 answer
  • Is this a better picture ​
    7·1 answer
  • What’s the distance between (3,6) and (3,-4)
    10·1 answer
  • Students measure the length of their feet in inches. The data is shown in the frequency table below. If the data were displayed
    12·2 answers
  • Please help solve this problem
    5·2 answers
  • I need Helppppp!!!! Will give brainiest!!!!
    15·1 answer
  • A poll finds that 54% of the 600 people polled favor the incumbent. Shortly after the poll is taken, it is disclosed that the in
    6·1 answer
  • Can someone help and explain this to me?
    5·1 answer
  • PLEASE HELP ME. this is due TONIGHT and i need this done so i have time for other assignments. thank you so much
    8·2 answers
  • A pole vaulter rested a 17 foot pole against a wall. If the top of the pole hit the wall 14 feet above the ground, how far from
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!