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
If a data set has only 1 outlier which value will always change when the outlier is excluded
blagie [28]

The median may stay the same.

The range will always change.

I dont think the last 2 will always change.

7 0
2 years ago
What would be the value of expressing something like the national debt in scientific notation? What information would be lost in
Vikki [24]
<span>As of January 8, 2015, the U.S. is $18.1 trillion in debt. (Source: National Priorities Project)

1 Trillion 

= 1 Thousand Billion

= 1,000,000,000,000

= 10</span>¹²
<span>
---------------------------

U.S National debt currently stands at:

$ 18.1 x 10</span><span>¹²
</span><span>
*What information would be lost? Well firstly the 0's. The 0's put the size of the number into perspective. The word "trillion" would also be taken out of the picture, once again altering the perspective of the number.

Personally I'd prefer to hear "18.1 Trillion Dollars". Sounds more interesting.

</span>
8 0
3 years ago
Taxi A charges $0.20 per mile and an initial fee of $4. Taxi B charges $0.40 per mile and an initial fee of $2. Write an inequal
Paraphin [41]
Well, for taxi A we have:

Cost of Taxi A = $ 0.20*X + $4
With "X" equal to "miles traveled".
For taxi B we have:
Cost of Taxi B = $ 0.40*X + $2
Then, when
Cost of Taxi B > Cost of Taxi A,

We Have:
$ 0.40*X + $2 > $ 0.20*X + $4

That is the inequality that you need!
Good luck!
M.
7 0
3 years ago
Write an equation in slope intercept form with a slope of 1/2 and y-intercept of -7
erastova [34]

Answer:

Slope intercept form:y=mx+c

y=1/2x-7

3 0
2 years ago
Y = 6x + 11<br> 2х - Зу = 7
irakobra [83]

9514 1404 393

Answer:

  (x, y) = (-2.5, -4)

Step-by-step explanation:

Since you are given an expression for y, it is convenient to substitute that into the second equation.

  2x -3(6x +11) = 7

  2x -18x -33 = 7

  -16x = 40 . . . . . . add 33

  x = -40/16 = -2.5

Using the equation for y, we find ...

  y = 6(-2.5) +11 = -15 +11 = -4

The solution is (x, y) = (-2.5, -4).

8 0
2 years ago
Other questions:
  • Marco drew 24 he drew 1/6 of them in art class how many pictures did Marco draw in class
    8·1 answer
  • a high school principal wants to test the overall mood in his school. he stops the first fifteen students who come into the offi
    12·1 answer
  • Describe how to find the measurement of angle L using the measurement of angle C.
    9·2 answers
  • Find the 2th term of the expansion of (a-b)^4.​
    15·1 answer
  • Nikki is playing a trivia game. At the end of the first round she has 8 points. During the second round she loses 16 points . Wh
    10·2 answers
  • Find all solutions to the system
    5·1 answer
  • Write as a decimal plzzzzzz thanks
    7·1 answer
  • HELP ME PLEASE ILL BRAINLIEST YOU IF YOU GET IT RIGHT
    12·2 answers
  • 3m²-48m⁶<br><br>factor the polynomial completely​
    8·1 answer
  • W=3? What is the value of the expression below when w = 5w+ 2
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!