Surfer #1 takes a capsule every 6 hours, but this is also equal to 2 capsules every 12 hours. Surfer #2 takes 1 capsule every 12 hours. Thus, both surfers take a total of 3 capsules every 12 hours.

By dividing 45 total capsules they need to consume by 3, the number of capsules the surfers consume every 12 hour, you get the total number of hours times 12 it takes for them to consume 45 capsules. 45 / 3 = 15, so it takes 15 * 12 hours for them to consume 45 capsules. This is equal to 180 total hours.

6 0

3 years ago

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

telo118 [61]

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 = ∑(Ei - Oi)² ≅X²(r-1)(c-1)

i Ei

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

E= row total × column total

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 =∑ (Ei -Oi)² =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.

8 0

3 years ago