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
natka813 [3]
3 years ago
12

Health insurance benefits vary by the size of the company. The sample data below show the number of companies providing health i

nsurance for small, medium, and large companies. For purposes of this study, small companies are companies that have fewer than 100 employees. Medium-sized companies have 100 to 999 employees, and large companies have 1,000 or more employees. The questionnaire sent to 225 employees asked whether or not the employee had health insurance and then asked the employee to indicate the size of the company. Health Insurance Size of the Company.
Size of the company
Health Insurance Small Medium Large
Yes 36 65 88
No 14 10 12

a. Conduct a test of independence to determine whether health insurance coverage is independent of the size of the company. Using a .05 level of significance. Compute the value of the 2 test statistic (to 2 decimals).

The p-value is:_______
What is your conclusion?

b. A newspaper article indicated employees of small companies are more likely to lack health insurance coverage. Use percentages based on the above data to support or reject this conclusion. (Round to whole numbers.)

Small:__________ %
Medium:_______ %
Large:__________ %

Based on the percentages calculated above, what can you conclude?
Mathematics
1 answer:
telo118 [61]3 years ago
8 0

Answer:

Step-by-step explanation:

a. The hypothesis of testing are

Null Hypothesis, H0: The health insurance coverage is independent of the size of the company.

Alternative hypothesis, H1: The health insurance coverage is not independent of the size of the company

The test statistics is calculated as

X² =  <u>∑(Ei - Oi)²</u>  ≅X²(r-1)(c-1)

        i      Ei

where Oi's are the observed values and Ei's are the expected values,

E= <u>row total × column total</u>

            total

The expected values are

        Sizeof the Company  

Health Insurance    Small   Medium Large Total

Yes                             42     63          84           189

No                              8             12          16           36

Total                      50    75                  100           225

Therefore, the test statistics is

X² =∑ (<u>Ei -Oi)² </u>=6.94 ≅  x²₂

      i       Ei

The critical value is found to be 5.99. Since test statistics > critical value, we reject H0 and conclude that the health insurance coverage is not independent of the size of the company.

The associated p-value is 0.031 (<0.05).

b. Percentage of employees lacking health insurance coverage is

Small 14/50 x 100 = 28%

Medium 10/75 x 100 = 13%

Large 12/100 x 100 = 12%

Hence depending on the above percentage, we can support the claim that the employees of small companies are more likely to lack health insurance coverage.

You might be interested in
Belinda will earn $46,000 her first year working as an interior designer with annual raises of 10%. What are her total earnings
Musya8 [376]
I believe this is the answer

6 0
3 years ago
Find the length of the third side. If necessary, write in simplest radical form.
pychu [463]

Answer: 84 is your answer hope this helped

plz make brainly

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Convert 9/20 into a decimal using long division
Mice21 [21]

Answer:

0.45

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Brandon is in the school play. He has 10 lines. Each line takes 30 seconds to read. How many minutes will it take Brandon to rea
Vanyuwa [196]
B 5 minutes have a great day
7 0
3 years ago
Read 2 more answers
How do you plot 2 2/3 on a number line?
Nastasia [14]

Answer:

find 2 then from 2 and 3 find about 2/3 of the way from 2-3 and plot it there

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • 6 pipes can fill a reservoir in 24minutes.one pipe can fill it in
    8·1 answer
  • The total age of a women and her son is 51 years. Three years ago, the women was eight times as old as her son. How old is her s
    11·1 answer
  • Phil received a prize of xxx dollars from a poker tournament. The tournament cost him 100100100 dollars to enter.
    10·1 answer
  • Factor completely.
    12·2 answers
  • Find the mean,median,and mode for the data.
    5·2 answers
  • Question Help
    14·1 answer
  • 5
    12·1 answer
  • Using trig solve for the missing angle
    7·1 answer
  • Please help me it’s very important please answer it correctly<br> Thank you
    14·1 answer
  • Consider the graph of the function f(x) = e^x
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!