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ANEK [815]
2 years ago
8

A bank wants to estimate the difference in the proportion of its "big" customers who have a second account with a different bank

and the proportion of its "small" customers who also have an account with another bank. Of the 200 "big" customers randomly selected, 160 claimed to also bank elsewhere. Of the 300 "small" customers randomly selected, 120 claimed to also bank with other banks. Check the conditions for constructing a confidence interval for the difference in proportions.
Mathematics
1 answer:
In-s [12.5K]2 years ago
5 0

Answer:

Kindly check explanation

Step-by-step explanation:

To construct confidence interval for difference in proportion ; the following conditions must be met :

1.) The selected samples must have been randomly chosen or selected from a larger population. This is essential in other to eliminate bias.

Each group of samples must be independently chosen. That is, the samples of bug customers chosen must be independent of the sample of small customers selected.

The population from which the samples are drawn must be considerably larger than the sample size. Sample size, n should be ≤ 10% of the population size.

p1 = 160 / 200 = 0.8 ; (1 - p1) = 0.2

p2 = 120 / 300 = 0.4 ; (1 - p2) = 0.6

(p1 - p2) ± Zcritical * sqrt[(p1(1 - p1) /n1) + (p2(1 - p2) / n2)]

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almond37 [142]

Step-by-step explanation:

(1)add \: 8 \\ (b)6 \\ (c)1002 \\ (d)2 \: and3

3 0
3 years ago
4. Is rap music more popular among young Indians than among young Asians? A sample survey compared 634 randomly chosen Indians a
bulgar [2K]

Answer:

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.

Step-by-step explanation:

Given  a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.

p_{1} = \frac{368}{634} =0.580

It found that 368 of the Indians and 130 Asians listened to rap music every day.

p_{2} = \frac{130}{567} =0.229

Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

p_{1} = p_{2}

Alternative hypothesis:- p_{1} \neq  p_{2}

Level of significance α = 0.05

The test of statistic

z = \frac{p_{1} -  p_{2}}{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} })  } } }

where p = \frac{n_{1}p_{1} + n_{1}p_{2}}{n_{1}+n_{2}} = \frac{634(0.580)+567(0.229)}{634+567}

       p = 0.414

and q = 1-p = 1- 0.414 =0.586

Z = \frac{0.580-0.229}{\sqrt{0.414(0.586)(\frac{1}{634} +\frac{1}{567} } } }

on calculation , we get

z = 0.300 ><1.96 at 95 % level of significance

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

3 0
3 years ago
Convert 7/11 to a percent. round the answer to the nearest hundredth
pychu [463]
<h3>Answer:</h3>

63.64%

<h3>Step-by-step explanation:</h3>

7/11 = 7/11 × 100% = (700/11)% ≈ 63.64%

_____

<em>Comment on fractions involving 11</em>

1/11 is the 2-digit repeating decimal 0.09090909...

So, any multiple of 1/11 is a 2-digit repeating decimal with the two digits being the numerator times 9.

Here, we have 7/11, so the 2-digit repeat is 7·9 = 63. That is ...

... 7/11 = 0.63636363...

3 0
3 years ago
Square ABCD is located on a coordinate plane. The coordinates for three of the vertices are listed below.
Marrrta [24]

Answer:

B'(16,14)

Step-by-step explanation:

First find the coordinates of the vertex B. The center of the square M is the midpoint of the diagonal AC. Since A(2,7) and C(8,1), the center has coordinates

M\left(\dfrac{2+8}{2},\dfrac{7+1}{2}\right)=M(5,4).

Point M is also the midpoint of the diagonal BD. Let B has coordinates (x,y), then

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Hence, B(8,7).

Now, the dilation by a scale factor 2 with the center of dilation at the origin has the rule

(x,y)→(2x,2y).

Thus,

B(8,7)→B'(16,14).

8 0
3 years ago
Which of the following functions represents a cell phone bill if there is a monthly charge of 20 dollars plus 6 cents for each m
castortr0y [4]
It would be f(x) = 20 + 0.06x
7 0
3 years ago
Read 2 more answers
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