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
Oduvanchick [21]
3 years ago
5

The Genetics & IVF Institute conducted a clinical trial of the YSORT method designed to increase the probability of conceivi

ng a boy. As of this writing, 291 babies were born to parents using the YSORT method, and 239 of them were boys. Use a 0.01 significance level to test the claim that the YSORT method is effective in increasing the likelihood that a baby will be a boy. What is the value of the test statistic needed to test this claim?
Mathematics
1 answer:
Reika [66]3 years ago
7 0

Answer: The test statistic needed to test this claim= 10.92

Step-by-step explanation:

We know that the probability of giving birth to a boy : p= 0.5

i..e The population proportion of giving birth to a boy =  0.5

As per given , we have

Null hypothesis : H_0: p\leq0.5

Alternative hypothesis :  H_a: p>0.5

Since H_a is right-tailed , so the hypothesis test is a right-tailed z-test.

Also, it is given that , the sample size : n= 291

Sample proportion: \hat{p}=\dfrac{239}{291}\approx0.82

Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} , where n is sample size ,  \hat{p} is sample proportion and p is the population proportion.

\Rightarrow\ z=\dfrac{0.82-0.5}{\sqrt{\dfrac{0.5(1-0.5)}{291}}}\approx10.92

i.e. the test statistic needed to test this claim= 10.92

Critical value ( one-tailed) for  0.01 significance level = z_{0.01}=2.326

Decision : Since Test statistic value (10.92)> Critical value (2.326), so we reject the null hypothesis .

[When test statistic value is greater than the critical value , then we reject the null hypothesis.]

Thus , we concluded that we have enough evidence at 0.01 significance level to support the claim that the YSORT method is effective in increasing the likelihood that a baby will be a boy.

You might be interested in
If $850 is deducted each month for 12 months from your checking account to pay your mortgage, what impact will it have on your c
nalin [4]

it would be -10,200 per year

4 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!
kodGreya [7K]

y^2 (y + 2) + 16(y + 2)

(y+2) (y^2+16)

3 0
3 years ago
Help! Ill mark you as brain! 15 points!
Alina [70]

Answer:

35 in²

Step-by-step explanation:

The irregular shaped can be divided into two squares and one rectangle, so the area will be the additions of the area of the squares and the rectangle

area of square A = L *B = 3 *3 = 9in²

area of square B = L * B = 4*4 = 16in²

area of rectangle C = L * B = 5 *2 = 10in²

th area of the irregular shape = 9 in² + 16 in² + 10 in² = 35 in²

4 0
3 years ago
Determine if the following statement is true or false.
Bas_tet [7]

Answer:

False

Step-by-step explanation:

Negative and Negative  always equals positive

Negative and positive always equal negative

7 0
2 years ago
Read 2 more answers
What is the value of x to the nearest tenth? The figure is not drawn to scale
Nataly [62]

Answer:

x=10.5

Step-by-step explanation:

if the two triangles were ratios it would be like

19.3:7.2 to x:3.9

so 75.27 = 7.2x

whcih is 10.45 which is approximately 10.5

8 0
2 years ago
Other questions:
  • A potter has 9 pounds of clay. he uses 3/10 pound of clay for each Bowl he makes. how many bowls can the Potter make?
    10·1 answer
  • 3•(7+10)=G+30 use the distributive property to solve
    7·1 answer
  • (a) A type of lightbulb is labeled as having an average lifetime of 1000 hours. It's reasonable to model the probability of fail
    12·1 answer
  • The length or a rectangular floor is 5 feet less than twice it’s it’s width. The area of the floor is 150 square feet. What is t
    15·1 answer
  • Solve the equation by factoring x^3+17x= -72
    13·1 answer
  • (5 marks)
    12·1 answer
  • Write an equation for the nth term of the arithmetic sequence.<br> 2, 5, 8, 11, ...
    13·1 answer
  • Age at BBM 2019 Question Group 'A Brief answer questions; 1. Integrate the following: S(ax? + 2bx + c)3/2(2xa + 2b) dx 2.
    12·1 answer
  • What value of x makes the following equation true?<br><br> x3=−64
    15·2 answers
  • What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Cab?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!