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
Mila [183]
2 years ago
12

Assume that 1100 births are randomly selected and exactly 556 of the births are girls. Use subjective judgment to determine whet

her the given outcome is​ unlikely, and also determine whether it is unusual in the sense that the result is far from what is typically expected.
Mathematics
1 answer:
Mariana [72]2 years ago
3 0

Answer:

The sample proportion for the births that are girls is 0.505. It is slightly higher than the expected value of 0.5, but the right way to answer if it is an unusual proportion is by performing an hypothesis test.

The hypothesis test results in not enough evidence to claim that the outcome is unlikely. This sample result has a probability of 0.7627 of appearing by pure chance in a population with proportion p=0.5.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the proportion of girls birth differs significantly from the expected proportion (50%).

Then, the null and alternative hypothesis are:

H_0: \pi=0.5\\\\H_a:\pi\neq 0.5

The significance level is 0.05.

The sample has a size n=1100.

The sample proportion is p=0.505.

p=X/n=556/1100=0.505

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{1100}}\\\\\\ \sigma_p=\sqrt{0.000227}=0.015

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.505-0.5-0.5/1100}{0.015}=\dfrac{0.005}{0.015}=0.302

This test is a two-tailed test, so the P-value for this test is calculated as:

\text{P-value}=2\cdot P(z>0.302)=0.7627

As the P-value (0.7627) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion of girls birth differs significantly from the expected proportion (50%).

You might be interested in
A rectangular prism is 24mm in height 13mm width and 29mm in lenght what is the surface area?
aev [14]
The surface area of a rectangular prism is:

A=2(LW+HW+LH)  in this case:

A=2(24*13+24*29+13*29)

A=2(1385)

A=2770 mm^2
6 0
2 years ago
Find the x and y intercept of 2x + 5y - 20
UNO [17]

Answer:

x=(10,0)

y=(0,4)

Step-by-step explanation:

Rewrite the equation so it is 5y=2x-20

Multiply both sides by 5

Then figure out the equation and you get the x intercept

Then put 10 into your new equation in the x spot and thats how you get y

Hope this helps:)

If my explaining is not good you can also use Math_way and it shows you all th steps too.

6 0
3 years ago
Help meeeeeee!!!!!!!
Juliette [100K]

A: partial variation

B: Direct variation

C: Direct variation

D: Partial variation

5 0
3 years ago
Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole. Olga uses 5/6 of a dozen eggs to make scrambled egg
GREYUIT [131]

Answer:

Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.

Step-by-step explanation:

Given that Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole, while Olga uses 5/6 of a dozen eggs to make scrambled eggs, the following calculations must be performed to determine who uses more eggs:

Sonja = 8/12 = 0.666 x 12 = 8

Olga = 5/6 = 0.83333 x 12 = 10

Therefore, Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.

4 0
2 years ago
Find g(x), where g(x) is the translation 8 units down of f(x)=x2.
SVEN [57.7K]

Answer:

g(x) = x² - 8

g(x) = 1(x-0)² - 8

Step-by-step explanation:

f(x) = x²

we translate this parent function 8 units down thus:

g(x) = f(x) - 8

g(x) = x² - 8

in the form a( x - h)² + k:

g(x) = 1(x-0) - 8

k = (-8)

As the change is constant rather than the variable of the quantity of "x" It is a movement of the whole f(x) function eight units down.

h = 0

Because, there is no information about a stretchment of the parent function in g(x)

8 0
3 years ago
Other questions:
  • Charlie runs at the speed of 3 yards per second. About how many miles per hour does Charlie runs?
    11·1 answer
  • I need desperate help it's the last one and I don't under stand it.
    13·1 answer
  • Every student is given a student ID number. If each number is 6 digits long, how many possible numbers are there?
    8·1 answer
  • Celia writes the addition problem shown.she says she can tell which sum will be greater without adding.how does she know?
    12·1 answer
  • A garden is 5 yards 12 inches wide and 2 yards long. Write the ratio of the width to the length as a fraction in simplest form.
    15·1 answer
  • Helo asap !! will get branliest.​
    13·2 answers
  • A bird sanctuary has 14 bags of bird seed. Each bird feeder holds 1/6 of a bag. How many bird feeders can be filled with the bir
    10·1 answer
  • In an effort to increase their membership enrollment, the Hamilton Fitness Center was offering a 15% discount (good for one full
    14·1 answer
  • The neiman family went out to dinner. How much will they pass altogether if their dinner bill came to 78.52 and they tip 18%
    11·1 answer
  • Help me kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!