The mortgage department of a large bank is interested in the nature of loans of first-time borrowers. This information will be used to tailor their marketing strategy. They believe that 40% of first-time borrowers take out smaller loans than other borrowers. They perform a hypothesis test to determine if the percentage is the same or different from 40%. They sample 100 first-time borrowers and find 49 of these loans are smaller than the other borrowers. For the hypothesis test, they choose a 5% level of significance. What would be the null and alternative hypotheses

Answer:

Since the calculated value of Z= 0.242887  is less than  Z (0.05) = 1.645 and falls in the critical region we  reject the null hypothesis and conclude that there is not sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat.

Step-by-step explanation:

Here

p1= proportion of women who  would rather be poor and thin than rich and fat

p1= 315/500= 0.63

p2= proportion of men who  would rather be poor and thin than rich and fat

p2= 220/400= 0.55

1) Formulate the hypothesis as

H0: p1>p2   against the claim  Ha: p1 ≤ p2

2) Choose the significance level ∝0.05

3) The test Statistic under H0 , is

Z= p1^ - p2^ / sqrt( pc^qc^( 1/n1 + 1/n2))

pc^= an estimate of the common proportion

pc ^ = n1p1^ + n2p2^/ n1+n2

4) The critical region is Z≤ Z (0.05) = 1.645

5)  Calculations

pc^ = 315+ 220/ 500+400=  535/900

pc^= 0.5944

and qc^= 1-0.5944= 0.4055

Thus

Z = 0.63-0.55/ sqrt ( 0.5944*0.4055( 1/500+ 1/400))

Z= 0.08/ sqrt (0.24108 (900/2000))

Z= 0.08/√0.10849

Z= 0.242887

Conclusion :

Since the calculated value of Z= 0.242887  is less than  Z (0.05) = 1.645 and falls in the critical region we  reject the null hypothesis and conclude that there is not sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat.

Given :

Diameter of the flask = 25 cm

radius, r = [tex]$\frac{25}{2}$[/tex] cm

Height of the flask, h = 40 cm

We have to find out the volume of the cylinder flask

Volume [tex]$= \pi r^2h$[/tex]

           [tex]$= 3.14 \times (\frac{25}{2})^2 \times 40$[/tex]

          = [tex]$19634.95 \ cm^3$[/tex]

          = [tex]$19635 \ cm^3$[/tex]

Now calculate the volume of the marble

Given :

Diameter = 13 mm

radius, R [tex]$=\frac{13}{2} \ mm$[/tex]

Therefore, volume of the marble [tex]$=\frac{4}{3}\pi R^3$[/tex]

                                                  [tex]$=\frac{4}{3}\times 3.14 \times (\frac{13}{2})^3$[/tex]

                                                   [tex]$= 1150.35 \ mm^3$[/tex]

                                                or  [tex]$= 115.035 \ cm^3$[/tex]

Therefore, the number of the marbles [tex]$=\frac{\text{volume of flask}}{\text{volume of marble}}$[/tex]

                                                          [tex]$=\frac{19635}{115.035}$[/tex]

                                                        = 170.68

Therefore, the number of the marbles used is approximately 170.                  

Answer:1.)-21.        2.)33.          3.)12.        4.)6.         5.)24

Step-by-step explanation:

Answer:

Answer is right!

Step-by-step explanation:

Have a nice day!

Answer:

$2250

Step-by-step explanation:

All you have to do is multiply 125×18= 2250

Answer:

Yes Avocado :>

Step-by-step explanation:

i luv em avocados

Answer:

free d ddddddd

yes fast

????

Answer:

A.37 BAGELS

Step-by-step explanation:

100-6

94/2.50

37.6 round down

37 bagels

Answer:

1.28

2. -3.5

3.-10.5

Step-by-step explanation:

1.-0.0035 · 12000+70= 28

2. -0.0035 ·21000+70=-3.5

3. -0.0035 ·23000+70=-10.5

I hope this helps

Hi king/quee/royalty. I have the answer: x=36

Answer:

f(x)*g(x)  =   [tex]-2x^{3} - 12x^{2} - 27x - 44[/tex]

Step-by-step explanation:

I am assuming that * means multiplication

(f*g)(x) = f(x)*g(x)

So, f(x)*g(x)  =  (-x-4)([tex]2x^{2} + 4x + 11[/tex]) = [tex]-2x^{3} - 4x^{2} - 11x - 8x^{2} - 16x - 44[/tex]

                                                       =  [tex]-2x^{3} - 12x^{2} - 27x - 44[/tex]

Answer:

C? Sorry if im wrong

Step-by-step explanation:

Answer:

B (10,40)

E (6,24)

Step-by-step explanation:

(2,8) is equal to (10,40) and (6,24)

Answer:

28/x=34

28/34=x

x=0.825is the required answet

Answer:

x = 17/14

Step-by-step explanation:

28 * x = 34

x * 28 = 34

Let's divide by 28 on both sides:

x = 34/28

Let's simplify by dividing both 34 and 28:

x = 17/14

17 is a prime number, so we can't simplify any further.

x = 17/14

Answer:

527.52 cm²

Step-by-step explanation:

Area of the shaded region = area of the outer circle - area of the inner circle

Area of circle is given as πr²

Radius of inner circle = 11 cm

Area of outer circle = 17 cm

π = 3.14

Thus:

Area of shaded region = 3.14*17² - 3.14*11²

= 907.46 - 379.94

= 527.52 cm²

i) H = M + 52

ii) H = 25 + 52 = 77 cm

Answer:

grrrr is 1)7

Step-by-step explanation:

Answer:

Step-by-step

Monthly Payment $1,088.41

Total Interest Paid $1,121.77

Total Paid $26,121.77

Mark  brainliest if this answer is correct please

Answer:

I think ita would be 2/6 as well

Step-by-step explanation:

simplify it down to 1/3 and the blue take up one third and so does the green socks

Answer:

2/6 socks are white.

Step-by-step explanation:

The denominator (6) is the amount of socks you have.

If 2/6 are blue and 2/6 are green. 4/6 are Blue & Green.

To find the remaining amount of socks you would simply subtract 6/6 by 4/6

That would leave you with 2/6 of the socks being WHITE.

Hope this helps you!! <3

Answer:

Utilizing storytelling to transmit educational messages is a traditional pedagogical method practiced by many American Indian tribes. American Indian stories are effective because they present essential ideas and values in a simple, entertaining form. Different story characters show positive and negative behaviors.

Step-by-step explanation:

Answer:

Yes he is correct!!!!!!

Answer:

AB = [tex]5\sqrt{3}[/tex]  cm

Step-by-step explanation:

The diagonal of the bottom square is the hypotenuse of two right triangles with legs 5 and 5

So, the length of that diagonal, say x,  of a 45-45-90 triangle where x is the hypotenuse is x = [tex]5\sqrt{2}[/tex]

Now that diagonal is a leg of the right triangle where AB is the hypotenuse and 5 is the length of the other leg.

So, [tex]x^{2} + 5^{2} = AB^{2}[/tex]  =  [tex](5\sqrt{2} )^{2}[/tex] + 25

                                =  50 + 25

                               = 75

Therefore   AB = [tex]\sqrt{75}[/tex] = [tex]5\sqrt{3}[/tex]

Answer:

x = -1

Step-by-step explanation:

x+5-4x=8

-5       -5

x-4x=3

-3x=3

/-3    /-3

x=-1

Answer:

CD = 10

Step-by-step explanation:

Answer:

CD=10 is the answer to your question

Answer:

0.4 and 0.2.

Step-by-step explanation:

For the first problem, you divide 5 by 2.

[tex]\frac{2}{5} = 0.4.[/tex]

This gives you 0.4

For the second problem, we simplify the fraction, first.

[tex]\frac{5}{25} = \frac{1}{5} .[/tex]

Then, we divide 1 by 5.

[tex]\frac{1}{5} = 0.2.[/tex]

This gives you 0.2.

Answer:

40

Step-by-step explanation:

6/0.15 = 40

Answer:

g

Step-by-step explanation: