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
Jobisdone [24]
3 years ago
11

A​ true/false test has 8080 questions. Suppose a passing grade is 5252 or more correct answers. Test the claim that a student kn

ows more than half of the answers and is not just guessing. Assume the student gets 5252 answers correct out of 8080. Use a significance level of 0.05. Steps 1 and 2 of a hypothesis test procedure are given below. Show step​ 3, finding the test statistic and the​ p-value and step​ 4, interpreting the results.
Mathematics
1 answer:
Makovka662 [10]3 years ago
8 0
<h2>Answer with explanation:</h2>

Let p be the proportion of the correct answers.

As per given , we have

H_0: p=0.50

H_a: p>0.50 , since the alternative hypothesis is right tailed , so the test is a one -tailed test.

If the student gets 52 answers correct out of 80.

i.e. the proportion of correct answers : \dfrac{52}{80}=0.65

Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.65-0.50}{\sqrt{\dfrac{0.50(0.50)}{80}}}\approx2.68

P-value : P(z>2.68)=0.0037   [ by using p-value table for z (right-tailed)]

Since the p-value(0.0037) is less than the significance level (0.05), so we reject the null hypothesis.

Results : We have enough evidence to support the claim that a student knows more than half of the answers and is not just guessing.

You might be interested in
the length of a rectangle is increased by 15% while its perpendicular height is decreased by 15%. determine, if any, the percent
djverab [1.8K]

No change in area if sides of rectangle are equal.

Hope this helps.

8 0
2 years ago
Three pencils cost 75p altogether. how much will it cost to buy 6 pencils?
Svetllana [295]
The cost for six pencils would be a total of 150p
The reason why is if three pencils cost 75p and you want to know what the cost of six, since three is half of six you would do this (if 3=75p then 3*2=75p*2 which is 6=150p). As shown, you multiply each side by 2 or double each side
8 0
3 years ago
Read 2 more answers
What is 2² of 36<br> you can use google or a calculator
Alja [10]
Answer is 144 my dude
8 0
2 years ago
D) Would the results change if we used pop sticks instead of blocks to measure
torisob [31]

Answer:

yes it would change since pop sticks are lighter than blocks are.

5 0
2 years ago
Solve the following please
Dima020 [189]

Answer:

x=4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • 4.<br>What's the radius of a circle with an area of 123 square feet?
    13·1 answer
  • How do you convert a percent to a number?
    12·2 answers
  • How would you solve k^2-5k+6=0
    5·2 answers
  • Susie divided 9-POUND bag of apples into 5 equal piles. how many pounds of apples are in each pile
    8·1 answer
  • Help on math angle question. ik its easy but I have no idea how math works :D
    12·1 answer
  • A = 5bc<br> b = -4 and c = -3<br> Work out the value of a.
    13·1 answer
  • Which digit in the following number is the one that determines its precision?
    9·1 answer
  • 2. A rectangular wooden frame has side
    15·1 answer
  • What type of triangle (right, obtuse, acute) do the angles 5,5,5 form?
    12·1 answer
  • Sorry for asking alot i just need to get 10 out of 10
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!