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
Natasha_Volkova [10]
3 years ago
8

A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 260 vinyl​ glov

es, 58​% leaked viruses. Among 260 latex​ gloves, 8​% leaked viruses. Using the accompanying display of the technology​ results, and using a 0.10 significance​ level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1.
Identify: null, alternative hypothesis, test statistic, and P-value.
Mathematics
1 answer:
yawa3891 [41]3 years ago
5 0

Answer:

Step-by-step explanation:

pop 1 n₁ = 260, p₁ = 58% = 0.58

pop 2 n₂ = 260, p₂ = 8% = 0.08

Null hypothesis: p₁ ≤ p₂

Alternative hypothesis: p₁ > p₂

The test statistic : p₁-p₂ / √{p-sample (1 - p-sample) (1/n₁ + 1/n₂)}

where p-sample is sample proportion = p₁n₁ +p₂n₂ / n₁+n₂

Thus, p-sample = 0.58x260 +0.08x260 / 260+260 =150.8+20.8 / 520 = 171.6 / 520 = 0.33.

Thus, the test statistic is (0.58 - 0.08) / √[0.33 (1-0.33) (0.0038+0.0038)

  = 0.5 / √[0.33(0.67) (0.0076)

= 0.5 / √0.00168036

= 0.5 / 0.04099

= 12.20

P = P(Z>12.20) = 1-P(Z≤12.20) at a significance level of 0.1= the p-value is less than the hypothesized thus, we have sufficient evidence to reject the null hypothesis and concluding that vinyl gloves have a greater virus leak than latex gloves.

You might be interested in
There are 3 meters from A to B, 22 meters from B to C, 5 meters from C to D, and 7 meters from D to E. What is the distance from
notka56 [123]
17m

Because horizontal distance is 8m, vertical distance is 15m
So distance between A and Enid square root of 8^2+15^2
8 0
3 years ago
2.5 L for 16 hours = __________ mL/hr<br><br> Round to tenths
Llana [10]
To be honest I think it’s 48 round the three
4 0
2 years ago
PLZ HALP!! I need this to be done ASAP!!
lyudmila [28]

4.5(4-x) + 36 = 202 - 2.5(3x + 28)

Distributive property

18 - 4.5x + 36 = 202 - 7.5x - 70

Combine like terms

-4.5x + 54 = -7.5x + 132

Add 7.5x to both sides

           3x = 78

Divide both sides by 3

              x = 26

3 0
3 years ago
Please answer right away
fenix001 [56]

The coefficient of determination is the first one. I'm pretty sure.

6 0
3 years ago
You want to help build an awards podium for a track meet. If the podium has the dimensions shown, what is its volume?
Dennis_Churaev [7]

Answer:

18

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • HELP!!! I NEED HELP PLZ!!!
    11·1 answer
  • Claire's lunch bill was $17.35. She gave a tip of $3.82.
    13·1 answer
  • Amy wants to carpet a room that is 12 feet by 8 feet. How many square yards of carpet will she need to complete the room?
    8·1 answer
  • What percent of 25 is 20
    9·2 answers
  • What is the perimeter of the triangle?
    15·2 answers
  • Put the following equation of a line into slope intercept form,simplifying all fractions 4x-4y=36
    13·1 answer
  • Pls help will mark brainliest <br><br> solve the system using a matrix.
    14·1 answer
  • Can someone help me with this
    9·1 answer
  • In the expression 3x+7 what is the coefficient
    6·1 answer
  • What's a quarter of 46.5
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!