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
mylen [45]
3 years ago
5

Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation.

A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance. What is your conclusion? A. Cannot determine B. More seniors are going to college C. Reject H0. There is enough evidence to support the claim that the proportion of students planning to go to college is now greater than .79. D. Do not reject H0. There is not enough evidence to support the claim that the proportion of students planning to go to college is greater than .79.
Mathematics
1 answer:
Shkiper50 [21]3 years ago
4 0

Answer:

Do not reject H_0. There is not enough evidence to support the claim that the proportion of students planning to go to college is greater than 0.79.

Step-by-step explanation:

The random sample reveals that 162/200 = 0.81 = 81% plan to attend college, so we are tempted to try and refute the 79% established by previous studies.

As the sample consists of “yes-no” answers, it can be modeled with a binomial distribution.

Now let's establish the hypothesis.

H_0: The probability that a school senior from a certain city plan attends college after graduation is 0.79 (79%)

H_a:  The probability that a school senior from a certain city plan attends college after graduation is greater than 0.79

The binomial distribution we are going to use is the model for H_0

P(k,200)=\binom{200}{k}0.79^k0.21^{200-k}

where P(k,200) is the probability of getting exactly k “yes” in 200 interviews.

Since the level of significance is 5% and in the sample we got 162 “yes”, we want to show that  

S = P(1,200) + P(2,200)+P(3,300)+...+P(162,200) is greater than 0.95.

If it is, then we can refute the null hypothesis and accept 0.81 as the new probability.

We can use either a <em>cumulative binomial distribution</em> table or the computer and we find that S=0.7807.

Since S<0.95 we cannot refute H_0

<em>It is worth noticing the the critical value here is 167. That is to say, if we had obtained 167 “yes” instead of 162, we could have rejected the null. </em>

You might be interested in
What is the solution to the system of equations below?
Lilit [14]

Answer:

  x,y = -4, -15

Step-by-step explanation:

4 0
3 years ago
Write the expression without the fraction bar.
kirill115 [55]
For problems like this you can move the y's on the bottem up top by fliping the sign of the exponent (in this case 7 to -7) and MULTIPLYING it with EVERYTHING on top, then because of properties of multplication you can add the exponents to combine them into one term (in this case add 3 and -7 to get -4) \frac{ y^{3} }{y^{7}}=y^3 *y^{-7} = y^{3+-7}=y^{3-7}=y^-4 If any of this does not make sense let me know and ill try to clarify better
5 0
2 years ago
Read 2 more answers
The stem-and-leaf plot shows the weights (in pounds) of yellowfin tuna caught during a fishing contest.
AysviL [449]

Answer:

The answer is "87 pounds".

Step-by-step explanation:

Please find the complete question in the attached file.

4 0
2 years ago
I need help Asap! i will be putting brainliest
andriy [413]

Answer:

I THINK ITS THE 3rd on

Step-by-step explanation:

you see the part where it says 6x8 then 6x3 and he part where it says 6x4 she didnt add the 2

4 0
2 years ago
Read 2 more answers
Need answer ASAP this assignment is due tomorrow
dmitriy555 [2]

Answer:

Venn diagrams, De'moivres rule and probability

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Tara has a large box of dog treats that weighs 8.4 pounds. She uses the large box of dog treats to make smaller bags, each conta
    11·2 answers
  • Amy has a piece of fleece fabric that is 4 feet wide and 6 feet long. How many squares of fleece fabric that are 1 foot wide and
    10·1 answer
  • In May you used 600 kilowatts-hours of energy for electricity. Calculate your average power use in watts.
    15·1 answer
  • A group of neighbors are constructing a community garden that is 80 m wide and 40 m long the top to vertex are plotted below at
    10·1 answer
  • Good songs to listen to:
    8·2 answers
  • The union of 2 sets is all the elements of both set's, excluding the common elements true or false
    11·1 answer
  • Help plsssssssssss i really need help
    7·2 answers
  • The slope between (13,8) and (8, -2) ?
    11·2 answers
  • The formula for finding the length of an arc on a circle is L=277 (1360), where r is the radius of the circle and x is the measu
    8·1 answer
  • What is the volume of this object?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!