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
Anna007 [38]
2 years ago
12

Ian is a phycologist interested in determining the proportion of algae samples from a local rivulet that belonged to a particula

r phylum. A random sample of 50 alga were obtained and each was categorized as either being cyanobacteria or not. It was found that 38 were, in fact, cyanobacteria.Without relying on any previous knowledge Ian wanted to estimate the proportion that were cyanobacteria with a margin of error of at most 0.01 in a 99% confidence interval. How large a sample size would be required?
Mathematics
1 answer:
pickupchik [31]2 years ago
5 0

Answer: 16590

Step-by-step explanation:

The formula we use to find the sample size is given by :-

, where p = prior estimate of population proportion.

z^*= Critical z-value (Two- tailed)

E= Margin of error .

Let p be the population proportion of cyanobacteria.

Given : E = 0.01

Critical value for 99% confidence interval : z^*=2.576

If Ian does not want to rely on previous knowledge , then we assume p=0.5 because the largest standard error is at p=0.5.

Now, the required sample size = n=0.5(1-0.5)(\frac{2.576}{0.01})^2

n=0.25(257.6)^2=0.25(66357.76)=16589.44\approx16590

Required sample size = 16590

You might be interested in
An athletics coach states that the distribution of player run times (in seconds) for a 100-meter dash is normally distributed wi
Elza [17]

Answer:

P(X

And we can find this probability using the normal standard distribution table and we got:

P(z

And the percentage faster than 13.28 seconds would be 91.9%

Step-by-step explanation:

Let X the random variable that represent the runtimes of a population, and for this case we know the distribution for X is given by:

X \sim N(13,0.2)  

Where \mu=13 and \sigma=0.2

We want to find this probability:

P(X

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

Using this formula we have:

P(X

And we can find this probability using the normal standard distribution table and we got:

P(z

And the percentage faster than 13.28 seconds would be 91.9%

8 0
2 years ago
Please help <br> is not a exam is a activity
Mars2501 [29]

Answer:

y= 5x

Step-by-step explanation:

since each x number is 1/5 of the y, it's 5 times x = y

8 0
2 years ago
The population of current statistics students has ages with mean mu and standard deviation sigma. samples of statistics students
hram777 [196]
Answer: The central limit theorem tells us that when random samples are chosen the results tend to approach a normal distribution.

The basic idea is that the more random samples that you select, the closer you should get to the mean. In most cases, 30 or more samples is regarded as a large enough sample to get close to the mean. Our sample is 48, so we should be close to the mean.
3 0
3 years ago
How do I find Q15 c, d and e???
klasskru [66]
I would make a tree because there are not that many possibilities. to get 99 with numbers between 1 and 50 you have 50+49 and 49 and 50 nothing else will work because if one spin is less than 49 say 48 to get 99 you need 51 which is impossible. either you 50 then 49 or you get 49 then 50. the others are a bit harder because you need to find all possible spins that will sum to 52 which is a much larger number.
8 0
3 years ago
PLEASE HELP<br><br><br> h(1) =<br> and h(4) =
Alekssandra [29.7K]
Putting in h(1) would get you 1, putting in h(4) would get you 5.
4 0
3 years ago
Other questions:
  • In chemistry class Charlie records volume of a liquid is 13.3 mL the actual volume is 13.6 mL what is the percent error? Round t
    5·2 answers
  • a female monkey is 3 3/7 feet tall. a male monkey is about 3 2/5 feet tall. which of the two monkeys is taller?
    6·1 answer
  • Need help with 61. Show steps please.
    10·1 answer
  • How do i show that this equation equals this?
    9·1 answer
  • Given the equation: (a-c)/(x-a) = m, solve for x.
    6·2 answers
  • HELP HELP PLEASSEEE I HAV 2 MINUTES LEF
    11·2 answers
  • Find the value of n so that the following points will lie on a line. (3,5), (−1,3), and (7,n)
    12·1 answer
  • Which is the graph of a quadratic function that has a discriminant value of 0? blue, green, yellow, or purple?
    10·1 answer
  • Pls help me and thank youuu
    14·2 answers
  • You take a math quiz that has 25 regular points and 5 bonus points. You get a score of 20, which includes 2 bonus points. Which
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!