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
Allisa [31]
3 years ago
10

An education researcher claims that 58​% of college students work​ year-round. In a random sample of 400 college​ students, 232

say they work​ year-round. At alphaequals0.01​, is there enough evidence to reject the​ researcher's claim? Complete parts​ (a) through​ (e) below.
Mathematics
1 answer:
Hatshy [7]3 years ago
6 0

Answer:

The proportion of college students who work​ year-round is 58%.

Step-by-step explanation:

The claim made by the education researcher is that 58​% of college students work​ year-round.

A random sample of 400 college​ students, 232 say they work​ year-round.

To test the researcher's claim use a one-proportion <em>z</em>-test.

The hypothesis can be defined as follows:

<em>H</em>₀: The proportion of college students who work​ year-round is 58%, i.e. <em>p</em> = 0.58.

<em>Hₐ</em>: The proportion of college students who work​ year-round is 58%, i.e. <em>p</em> ≠ 0.58. C

Compute the sample proportion as follows:

 \hat p=\frac{232}{400}=0.58

Compute the test statistic value as follows:

 z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.58-0.58}{\sqrt{\frac{0.58(1-0.58)}{400}}}=0

The test statistic value is 0.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

Compute the p-value for the two-tailed test as follows:

 p-value=2\times P(z

*Use a z-table for the probability.

The p-value of the test is 1.

The p-value of the test is very large when compared to the significance level.

The null hypothesis will not be rejected.

Thus, it can be concluded that the proportion of college students who work​ year-round is 58%.

You might be interested in
The work shows the first steps of writing a partial fraction decomposition.
Alex73 [517]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
Suppose that IQ scores have a bell-shaped distribution with a mean of 105 and a standard deviation of 15. Using the empirical ru
Romashka [77]

Answer:

Answer to Suppose that IQ scores have a bell-shaped distribution with a mean of ... Question: Suppose That IQ Scores Have A Bell-shaped Distribution With A Mean Of 105 And A Standard Deviation Of 15. ... Please Do Not Round Your Answer. ... Using the empirical rule, what percentage of IQ scores are greater than 120?Step-by-step explanation:

8 0
3 years ago
PLEASE HELP!!!!!!
galina1969 [7]

Vertical angles are angles opposite of eachother and therefore the same. Since angle 2 is 93° that means angle 1 must also be 93°

8 0
3 years ago
Read 2 more answers
The___of the number -4 and 4 is 4
Illusion [34]
Absolute value hope this helps
3 0
1 year ago
Max builds rail fences.for one style of fence,each section uses 3 vertical fence post and 6 horizontal rails.how many rails does
Goryan [66]
He will need 66 :) the answer is 66
6 0
3 years ago
Other questions:
  • Write 0.18 repeating as a fraction in simplest form.
    6·1 answer
  • Write the sum using summation notation, assuming the suggested pattern continues.
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%7B3r%7D%5E%7B2%7D%20%20-%202%20%3D%2046" id="TexFormula1" title=" {3r}^{2} - 2 = 46" alt=
    13·2 answers
  • For which number does the 9 have the least value 9.001, 0.9, 0.29, 7.079
    12·1 answer
  • Manuel invested $10,000 in a savings account with a 3% interest rate that gets compounded daily. Write a model for Manuel to tra
    13·1 answer
  • Find the unknown side length, x. write your answer in simplest radical form.
    14·2 answers
  • What is the theoretical probability that the spinner lands on red?
    11·2 answers
  • Complete the pattern. 1, 2, 4, 8, 16, __, __, __
    14·1 answer
  • BOWLING A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y=2.5x+3
    10·1 answer
  • Here is a rule to make a list of numbers: Each number is 4 less than 3 times the previous number. starting with the number 1, bu
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!