Answer: 0.0241
Step-by-step explanation:
The formula we use to find the margin of error :
![E=z^*\sqrt{\dfrac{p(1-p)}{n}}](https://tex.z-dn.net/?f=E%3Dz%5E%2A%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D)
, where z* = Critical value , n= Sample size and p = Sample proportion.
As per given , we have
n= 2400
Sample proportion of subjects showed improvement from the treatment:
![p=\dfrac{720}{2400}=0.3](https://tex.z-dn.net/?f=p%3D%5Cdfrac%7B720%7D%7B2400%7D%3D0.3)
Critical value for 99% confidence = z*= 2.576 (By z-table)
Now , the margin of error for the 99% confidence interval used to estimate the population proportion. :
![E=(2.576)\sqrt{\dfrac{0.3(1-0.3)}{2400}}](https://tex.z-dn.net/?f=E%3D%282.576%29%5Csqrt%7B%5Cdfrac%7B0.3%281-0.3%29%7D%7B2400%7D%7D)
![E=(2.576)\sqrt{0.0000875}](https://tex.z-dn.net/?f=E%3D%282.576%29%5Csqrt%7B0.0000875%7D)
![E=(2.576)(0.00935414346693)](https://tex.z-dn.net/?f=E%3D%282.576%29%280.00935414346693%29)
[Round to the four decimal places]
Hence, the margin of error for the 99% confidence interval used to estimate the population proportion. =0.0241
Answer:
We are given:
![H_{0}: \mu = 33](https://tex.z-dn.net/?f=H_%7B0%7D%3A%20%5Cmu%20%3D%2033)
![H_{1}: \mu < 33](https://tex.z-dn.net/?f=H_%7B1%7D%3A%20%5Cmu%20%3C%2033)
Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
Since the alternative hypothesis has less than sign, therefore the given hypothesis is left-tailed
What parameter is being tested?
The parameter used is
, which denotes the population mean.
Please note:
The type is test determined based on the alternative hypothesis.
If the alternative hypothesis has
sign, it means the hypothesis test is two-tailed
If the alternative hypothesis has
sign, it means the hypothesis test is right-tailed
If the alternative hypothesis has
sign, it means the hypothesis test is left-tailed
Answer:
<u>6</u>
<u>4</u>
<u>12</u>
<u>72</u>
Step-by-step explanation:
Base is 6 in
Height is 4 in
To get the area of a triangle is 1/2 Base × Height
Being 1/2(6)(4) = 12
To get the area of a rectangle is Length × Width being 9 × 8 = 72
Answer:
3
Step-by-step explanation:
Answer :-
- loss = <em> </em><em>100</em><em>0</em><em>$</em><em> </em>
- 4000
Step by step explanation :-
1#
Profit on 3000 bags of white cement sold = 3000 × 8 = 24000
loss on 5000 bags of grey cement sold = 5000 × 5 = 25000
<u>Alternatively</u><u>:</u><u> </u>
- Net loss = ( 25000 - 24000 ) = 1000$
- profit/ loss = $ [3000 × 8 - 5000 × 5 ]
- $ [24000 - 25000]
- -1000$
<em>As</em><em> </em><em>the</em><em> </em><em>result</em><em> </em><em>of</em><em> </em><em>transaction</em><em> </em><em>is</em><em> </em><em>negative</em><em>/</em><em> </em><em>loss</em><em> </em>
2#
- Loss on the scale of 6400 grey bags = 6400 × 5 = 32,000
<em>In</em><em> </em><em>order</em><em> </em><em>to</em><em> </em><em>have</em><em> </em><em>no</em><em> </em><em>profit</em><em>, </em><em> </em><em>profit from the </em><em>Cello </em><em>white cement should be 32</em><em>0</em><em>0</em><em>0</em><em>.</em><em> </em>
- Number of white cement bags to be sold = 32000 / 8 = 4000
<em>4000 why cement bags and 6400</em><em> </em><em>grey</em><em> </em><em>cement</em><em> </em><em> </em><em>bags</em><em> </em><em>are sold in order to have no profit and </em><em>n</em><em>o</em><em> </em><em>loss </em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>~</em>