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
Katarina [22]
2 years ago
14

Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at ru

ral hospitals have a lower waiting time? The 13 randomly selected patients who went to the emergency room at rural hospitals waited an average of 6.3 hours to be admitted into the hospital. The standard deviation for these 13 patients was 1.3 hours. What can be concluded at the the
α
= 0.01 level of significance level of significance?

For this study, we should use
Select an answer
The null and alternative hypotheses would be:

H
0
:

?

Select an answer




H
1
:

?

Select an answer



The test statistic
?
=
(please show your answer to 3 decimal places.)
The p-value =
(Please show your answer to 4 decimal places.)
The p-value is
?

α

Based on this, we should
Select an answer
the null hypothesis.
Thus, the final conclusion is that ...
The data suggest the population mean is not significantly lower than 7 at
α
= 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.
The data suggest the populaton mean is significantly lower than 7 at
α
= 0.01, so there is statistically significant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is lower than 7 hours.
The data suggest that the population mean awaiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is not significantly lower than 7 hours at
α
= 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is lower than 7 hours.
Mathematics
1 answer:
valina [46]2 years ago
4 0
  1. For this study, we should use t-test and the null and alternative hypotheses would be given by H₀: μ = 7 and H₁: μ < 7.
  2. The test statistic is -1.941 and the p-value (0.0381) is <u>greater than</u> α = 0.01.
  3. Based on this, we should <u>fail to reject</u> the null hypothesis.
  4. Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

<h3>What is a null hypothesis?</h3>

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

<h3>How to calculate value of the test statistic?</h3>

The test statistics can be calculated by using this formula:

t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }

<u>Where:</u>

  • x is the sample mean.
  • u is the mean.
  • is the standard deviation.
  • n is the number of hours.

For this study, we should use t-test and the null and alternative hypotheses would be given by:

H₀: μ = 7

H₁: μ < 7

t=\frac{6.3\;-\;7}{\frac{1.3}{\sqrt{13} } }\\\\t=\frac{-0.7}{\frac{1.3}{3.6056 } }

t = -0.7/0.3606

t = -1.941.

For the p-value, we have:

P-value = P(t < -1.9412)

P-value = 0.0381.

Therefore, the p-value (0.0381) is <u>greater than</u> α = 0.01. Based on this, we should <u>fail to reject</u> the null hypothesis.

Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

Read more on null hypothesis here: brainly.com/question/14913351

#SPJ1

You might be interested in
Lola rode her bike for 7/10 of an hour on saturday and 3an hour on sunday.how much longer did she ride her bike on saturday than
Artyom0805 [142]
She rode 2 and 3/10 more hours
5 0
2 years ago
Do all straight lines that are functions have inverses?
tino4ka555 [31]

Answer: Not all Functions have a inverse

Happy To Help :)

Step-by-step explanation:

7 0
2 years ago
PROBLEM SOLVING When a plant or animal dies, it stops acquiring carbon-14 from the atmosphere. The amount y in grams) of carbon-
kykrilka [37]

Answer:

0.01%

Step-by-step explanation:

y=a (0.5)^t/5730

y=a [(0.5)^t/5730]

when you put 0.5^1/5730

it'll give you 0.99

The "equation" is y=a(1-r)^t

so 1-0.99 is 0.01

4 0
3 years ago
Translate and solve: 3x less than 2 times the sum of 2x and 1 is equal to the sum of 2 and 5. X=
Sauron [17]

Answer:

3 x = 2 = 2 x = 1 = 2 = 5 X =

Step-by-step explanation:

Use the given functions to set up and simplify

5X.

im pretty sure this is right, butt if its not im sorry <3

6 0
3 years ago
Please can’t Gail this
ANEK [815]

Answer:

4

Step-by-step explanation: because you up four and move 1 so the answer is 4/1 but is simplified by 4

3 0
3 years ago
Read 2 more answers
Other questions:
  • I want to know how to find the equation for line L in the figure
    10·1 answer
  • Which is the graph of the given function?
    11·1 answer
  • Find a recursive rule for the sequence 2 4 6 10
    6·1 answer
  • Jonas is buying a three-day supply of camping snacks. An energy bar costs $1.50, and a bag of dried
    6·1 answer
  • About 6% of the population has a particular genetic mutation. 600 people are randomly selected. find the standard deviation for
    7·1 answer
  • 3 gallons coverted to cups
    6·1 answer
  • Explain why if a runner completes a 6.2â-mi race in 32 âmin, then he must have been running at exactly 11 âmi/hr at least twice
    9·1 answer
  • What is the surface area of a cube that has a side length of 5 feet?
    10·1 answer
  • Which term has the definition "The mean, median, or mode of a dataset. Also known
    7·1 answer
  • BRAINLIEST IF CORRECT PLEASE HELP!!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!