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
aksik [14]
3 years ago
14

Members of a soccer team suspect the coin used for the coin toss at the beginning of their games is unfair. They believe it turn

s up tails less often than it should if it were fair. The coach of the team decides to flip the coin 100 times and count the number of tails. His trial results in 35 tails. He decides to carry out a significance test. What is the p-value he obtains and the general conclusion that can be made at a 99% significance level?
A.) The p-value is 0.0013. He should reject the null in favor of the alternative.

B.) The p-value is 0.0013. He should fail to reject the null.

C.) The p-value is 0.9987. He should reject the null in favor of the alternative.

D.) The p-value is 0.9987. He should fail to reject the null.

E.) There is not enough information provided to calculate the p-value and make a conclusion.
Mathematics
1 answer:
Vilka [71]3 years ago
4 0

Answer:

The p-value is 0.0013. He should reject the null in favor of the alternative.

Step-by-step explanation:

We are given that Members of a soccer team suspect the coin used for the coin toss at the beginning of their games is unfair. They believe it turns up tails less often than it should if it were fair.

The coach of the team decides to flip the coin 100 times and count the number of tails. His trial results in 35 tails.

Let p = <u><em>proportion of occurrence of tail.</em></u>

SO, Null Hypothesis, H_0 : p = 0.50     {means that it turns up tails equal to that it should if it were fair}

Alternate Hypothesis, H_A : p < 0.50      {means that it turns up tails less often than it should if it were fair}

The test statistics that would be used here <u>One-sample z-test for proportions;</u>

                            T.S. =  \frac{\hat p-p}{\sqrt{\frac{ p(1-p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of tails occurrence = \frac{35}{100} = 0.35

            n = sample of trails = 100

So, <u><em>the test statistics</em></u>  =  \frac{0.35-0.50}{\sqrt{\frac{0.50(1-0.50)}{100} } }    

                                     =  -3

The value of z test statistics is -3.

Also, P-value of the test statistics is given by;

                P-value = P(Z < -3) = 1 - P(Z \leq 3)

                              = 1 - 0.9987 = <u>0.0013</u>

Since, the P-value of test statistic is less than the level of significance as 0.0013 < 0.01, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <em><u>we reject our null hypothesis</u></em>.

Therefore, we conclude that it turns up tails less often than it should if it were fair.

You might be interested in
mrs smith agrees to pay 5 neiborhood boys $20 to clean her yard. they do such a good job she gives them some extra money, for a
Artemon [7]
They all would get $4.70.
8 0
2 years ago
Draw rectangles to show 3 1/2
Nataliya [291]
Just draw three rectangles and a half of one

5 0
3 years ago
how do I Translate the following verbal statement into an algebraic equation and then solve: Krystal bought a nightstand on sale
GREYUIT [131]

Answer:the original price is $680

Step-by-step explanation:

1/4(x)=170

4×1/4(x)=4×170

x=$680

6 0
3 years ago
Two balls are chosen randomly from an urn containing 8 white, 4 black, and 2 orange balls. Suppose that we win $2 for each black
MA_775_DIABLO [31]

Answer:

The objective of the problem is obtained below:

From the information, an urn consists of, 4 black, 2 orange balls and 8 white.

The person loses $1 for each white ball selected, no money is lost or gained for any orange balls picked and win $2 for each black ball selected. Let the random variable X denotes the winnings.

No winnings probability= 0.011

Probability of winning $1=0.3516

Probability of winning $2= 0.0879

Probability of winning $4= 0.0659

5 0
3 years ago
Put the fractions in order smallest to largest<br> 7/10, 2/3 , 4/5, 11/15
Brrunno [24]

Answer:

Step-by-step explanation:

2/3, 7/10, 11/15, 4/5

8 0
3 years ago
Other questions:
  • Whats a quadratic equation that has the roots of 6 and negative 9
    13·1 answer
  • Of the 50 states 2/5 of the states start with the letters M, A, or N. How can you use equivalent fractions to find out how many
    13·1 answer
  • In two or more complete sentences, describe a real world situation that can be modeled by the inequality and solve the inequalit
    6·1 answer
  • George has $23 to spend on art supplies he wants to buy markers papers and glue if the total cost of markers and papers is more
    12·1 answer
  • Check the comments please I am putting a link there
    11·1 answer
  • Somebody help me out with this one and explain how u got it I will mark u as brainiest if correct
    5·1 answer
  • What are the possible values for b, if x2 + bx – 9 is factorable?
    7·1 answer
  • Suppose that 0.10 of population is colourblind if 25of sample drown from this population find probability that at least 7 have c
    8·1 answer
  • Using the rule y = 4x , find thr value of y when x is 5
    7·1 answer
  • Find the length of the third side. If necessary, write in simplest radical form.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!