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
KiRa [710]
3 years ago
5

A random sample of 60 suspension helmets used by motorcycle riders and automobile race-car drivers was subjected to an impact te

st, and on 16 of these helmets some damage was observed. (a) Find a 95% two-sided confidence interval on the true proportion of helmets of this type that would show damage from this test. Round your answers to 3 decimal places. ≤p≤ (b) Using the point estimate of p obtained from the preliminary sample of 60 helmets, how many helmets must be tested to be 95% confident that the error in estimating the true value of p is less than 0.02? n= (c) How large must the sample be if we wish to be at least 95% confident that the error in estimating p is less than 0.02, regardless of the true value of p?
Mathematics
1 answer:
Karolina [17]3 years ago
5 0

Answer:

a)0.154<p<0.48[

b)n≅ 6.57

c)n=2401

Step-by-step explanation:

n = 60

Sample proportion = p = 16/60 = 0.266

a) Find a 95% two-sided confidence interval on the true proportion of helmets

90 % confidence interval fro population is

p +- z0.05/2 * \sqrt{p(1-p)/n}

0.154

hence population proportion lies in the confidence interval

b) helmets must be tested to be 95% confident

point of estimates i s- 0.266

Margin of error = 0.02

ME=z0.05/2*\sqrt{p(1-p)n}

after putting values we get

n = 6.56

n≅ 6.57

c)large must the sample be

The sample is calculted as

n=(z0.025/E)^{2} 1/4

n=(1.96/0.02)^{2} 1/4

n=2401

You might be interested in
So turns out I’m not good at this math stuff. I someone help me with this monstrosity.?!
Fofino [41]
The answer is the last choice since in a function, x values in the coordinates cannot repeat themselves. In the first answer, the x-value 2 has more than one y-value meaning it cannot be a function. In the second answer, the x-value -2 also repeats itself and has more than one y-value, and in the 3rd choice, the x-value 5 also repeats.
5 0
4 years ago
A snail travels at 71 inches per hour. Choose all the metric measures that are faster than 71 inches per hour. A) 125.7 cm per h
Yuki888 [10]

Answer:

A and D

Step-by-step explanation:

71 inches per hour=180 centimeters per hour

3 0
3 years ago
You are working on an urban planning project assessing the growth of a city. Five years ago, the population was 134,785 The curr
Firdavs [7]

To calculate growth rate, start by subtracting the past value from the current value. Then, divide that number by the past value. Finally, multiply your answer by 100 to express it as a percentage.

<u>Explanation:</u>

The "population growth rate" is the rate at which the number of individuals in a population increases in a given time period, expressed as a fraction of the initial population. Population growth is based on four fundamental factors: birth rate, death rate, immigration, and emigration.

Annual Growth Rate of Population refers to the rate at which the number of individuals in a given popular increase over a year, expressed as a fraction of the initial popular of the previous years. The annual percentage growth rate of population is the percent growth divided by the number of years.

8 0
3 years ago
Are all even numbers composite? <br> Yes or no
Mars2501 [29]

Answer:All even number except 2 are composite numbers. 4 is the smallest composite number.  step-by-step explanation:

7 0
3 years ago
Please help me work this out and give me an answer!!
lorasvet [3.4K]
Well it’s mass/volume
5 0
4 years ago
Other questions:
  • Which phrase matches the algebraic expression below? (1 point)
    9·1 answer
  • Gabriel is making a mixture of compost and soil to use for a special plant. He wants his final mixture to be 2 parts compost to
    8·1 answer
  • A new video game is expected to sell 102 copies the first hour at a local game store. After that, the sales will follow the func
    5·2 answers
  • WORTH 50 POINTS Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
    7·2 answers
  • Find the cube root of 8x7x9x49x3
    11·1 answer
  • If a sample of 18 metal marbles has a total volume of 21.0 mL and a total mass of 20.7 grams, what is the density of the metal m
    5·2 answers
  • The interest rate r required to increase your investment p to the amount a in t years is found by . Find the interest rate r for
    12·1 answer
  • Can someone please explain this to me?
    14·1 answer
  • Tran says that -1/4x-7+9/4x+2x is equivalent to 4x-7. How can substituting any value for x help you determine whether Tran is co
    12·1 answer
  • A doctoral student wants to determine the relationship between steps per minute and the time it takes to walk 100 feet in
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!