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
Will give brainlist! I need help
stealth61 [152]

Answer:

A=1/2bh

A=1/2(2)(4)

A=1/2(8)

A=4

Step-by-step explanation:

Area is 4units²

8 0
3 years ago
good job on increasing our team sales from 90 to 130 units per day.” wow i never thought that we could increase our sales by
artcher [175]

The sales was increased by 44.4%.

Step-by-step explanation:

  • Lets do this cumulative
  • 90 of 10 % =  9  which is 99
  • 90 of 10 % = 9 which is 108
  • 90 of 10% = 9 which is 117
  • 90 of 10% = 9 which is 126
  • 90 of 4 % = 3.6 which is 129.6
  • 90 of 0.044% = 0.0396 which is 129.99
  • This comes to nearly 44.44 to be closer there was an increase.
  • Always rule 1 approximation use 50% of 90 if it is above 130.
  • Down it to 40% of 90 see if the sales is lower than 130.
  • It should always start with 50,40,30....10 percents.
  • Alternative should be 10,1 or decimals.
  • Approximation using decimals rounding up becomes simple.

7 0
3 years ago
A coin collection is made up of 34 coins comprised of nickels and dimes. The total value of the collection is $1.90. How many di
riadik2000 [5.3K]

Answer:

x = nickels

y= dimes

x + y = 34

.05x + .10y= $1.90

-.10x - .10y = -3.40

-.05x + .10y = 1.90

-.05x = -1.50

x = 30 nickels

30 + y = 34

y = 4 dimes

(3,4)

7 0
3 years ago
Which of the points are solutions to the inequality?
postnew [5]

I think 4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
This recipe makes a cake big enough to serve 4 people.
nignag [31]

Answer:

He can make a cake that serves 24 people.

Step-by-step explanation:

Gareth has 13 eggs, but only 2 are needed for 4 servings. 13 divided by 2 equals 6.5. We can't serve half of a person, so there will be a large cake equivalent to the size of 6 small cakes. Since 1 small cake serves 4 people, and Gareth's large cake is 6 times the size of a small cake, Gareth's cake can serve a total of 24 people. Now that is one big cake!

P.S. If you found this answer helpful, please mark me as Brainliest

7 0
3 years ago
Other questions:
  • Need help in math
    8·1 answer
  • What is the square root of 49
    6·2 answers
  • George weighed 170 lbs when he started college. If he gains just 0.25 lbs after each month for 4 years of college, how much will
    12·1 answer
  • What's the value for x makes this equation true 3/5 X-0.5=19 ​
    14·1 answer
  • Sarah had 20 apples, If adam stole 15 of them, how many does sarah have now?
    12·1 answer
  • Scott invested a total of $5400 at two separate banks. One bank pays simple interest of 12% per year while the other pays simple
    7·1 answer
  • Which comparison is not true?
    5·2 answers
  • Solve 5 tanx=523 for ° SXS 180°.
    12·1 answer
  • Which describes the intersection of the ceiling and a wall of a classroom?
    6·1 answer
  • Select the expression that is equivalent to m(y + o).
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!