All categories

4 years ago

How do I solve this STATS question?

1 answer:

7 0

We have the following data:

Margin of Error = E = 2.7 % = 0.027
Sample size = n = 900
Proportion of adults in favor = p = 60% = 0.6

We need to find the confidence level. For this first we need to find the z value.

The margin of error for a population proportion is given as:

$E=z* \sqrt{ \frac{p(1-p)}{n} }$

Using the values, we get:

$0.027=z* \sqrt{ \frac{0.6*0.4}{900} } \\ \\ 
0.027=z*0.016 \\ \\ 
z= \frac{0.027}{0.01633} \\ \\ 
z=1.65$

As, seen from the z table, z=1.65 corresponds to the confidence level 90%. So, the answer to this question is option B

You might be interested in

Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Liliana uses a total of 12

Anon25 [30]

Answer:

Variable d represents the time per minute Lilianna spends in the park.

Step-by-step explanation:

Lilianna uses $\frac{3}{4}$ calories per minute just by sitting. She uses 1 more calorie per minute by walking.

Liliana uses a total of $12\frac{1}{4}$ calories walking to the park.

Lilianna uses the equation, $d(\frac{3}{4}+1)=12\frac{1}{4}$ to represent the situation.

Here, variable d represents the time per minute she spends in the park.

and is given as,

$d(\frac{3}{4}+1)=12\frac{1}{4}$

It can be written as,

$d(\frac{3}{4}+1)=\frac{49}{4}$

Solving for d,

$d(\frac{3}{4}+1)=\frac{49}{4}$

$\Rightarrow d(\frac{3+4}{4})=\frac{49}{4}$

$\Rightarrow d(\frac{7}{4})=\frac{49}{4}$

$\Rightarrow d=\frac{49 \times 4}{4 \times 7}$

$\Rightarrow d=7$

Thus, she spend d= 7 minutes total to the park.

5 0

3 years ago

The waiters poured 160 eight-ounce glasses of water at the banquet. How many gallons is this? Show your work.

larisa86 [58]

160 * 8 = 1280 ounces. 1280/64 = 20 half gallons 20*1/2= 10 So you have 20 half gallons or 10 gallons.

7 0

3 years ago

Duran is making party favors by placing a circular disk in the bottom of a plastic bag. Each disk has diameter of 6 centimeters.

Setler79 [48]

Answer:

B. 28.26

Step-by-step explanation:

8 0

3 years ago

Solve the equation 3/2(y-1) =y+5 and represent the solution on number line and on the cartesian plane...... pls solve it and spa

motikmotik

Answer:

y = 13

Step-by-step explanation:

Step 1: Distribute

3/2y - 3/2 = y + 5

Step 2: Subtract <em>y</em> on both sides

1/2y - 3/2 = 5

Step 3: add 3/2 on both sides

1/2y = 13/2

Step 4: Divide both sides by 1/2

y = 13

6 0

3 years ago

Read 2 more answers

Plz help me what the coordinate points for each

krek1111 [17]

Answer:

A. (-4, -3)

B. (5, 3)

C. (-1, 3)

Step-by-step explanation:

Ok, bear with me, its been a while since I have done this so make sure you double check.

A. So, we already know where point A is(1,-3) and we need that to find B

It says we need a reflection which is basically mirroring it across the y-axis(note: if it were across the x-axis then this would turn out much differently.)

Its hard to explain but i will tell you that reflecting point A will give us (-1, -3)

Now we need to translate it 3 units to the left

B. Ok, next we have point C which is a reflection using the x-axis (now you will see how important it is to make sure you are reflecting in the right place.) Over the x-axis, will give us (1, 3).

Now we need to translate to the right... (5, 3)

C. Point D... we need to rotate it. Now, rotating is a little bit more work than reflecting and translating but its not hard.

since we are rotating 180 degrees then we are basically just turning it around halfway from 360...

A is (1, -3) so D would be (-1, 3)

Hope this helps :)

6 0

3 years ago