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
Sliva [168]
3 years ago
6

A Bernoulli random variable X has unknown success probability p. Using 100 independent samples of X, find a confidence interval

estimate of p with confidence coefficient 0.99. If ????????100 = 0.06, what is our interval estimate
Mathematics
1 answer:
Alex777 [14]3 years ago
5 0

Answer: (0.0445,\ 0.0755)

Step-by-step explanation:

The confidence interval for the population proportion is given by :-

p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}

Given : A Bernoulli random variable X has unknown success probability p.

Sample size : n=100

Unknown success probability : p=0.06

Significance level : \alpha=1-0.99=0.01

Critical value : z_{\alpha/2}=2.576

Now, the 99% confidence interval for true proportion will be :-

0.06\pm(2.576)\sqrt{\dfrac{0.06(0.06)}{100}}\\\\\approx0.06\pm(0.0155)\\\\=(0.06-0.0155,\ 0.06+0.0155)\\\\=(0.0445,\ 0.0755)

Hence, the 99% confidence interval for true proportion= (0.0445,\ 0.0755)

You might be interested in
How many fifieths would three theths equal
kari74 [83]
45 you need to fix the question for example what does theths mean
3 0
3 years ago
Which is greater 4 ft 7 inches or 56 inches
jok3333 [9.3K]
1 ft = 12 in.
4 ft = 4 * 1 ft = 4 * 12 in. = 48 in.

4 ft 7 in. = 48 in. + 7 in. = 55 in.

4 ft 7 in. < 56 in.
8 0
3 years ago
Read 2 more answers
Preliminary data analyses indicate that it is reasonable to use a t-test to carry out the specified hypothesis test. Perform the
Readme [11.4K]
<h2>Answer with explanation:</h2>

By considering the given information, we have

Null hypothesis : H_0: \mu=35.0

Alternative hypothesis : H_1: \mu\neq35.0

Since the alternative hypothesis is two-tailed , so the test is a two-tailed test.

Given : Sample size : n= 20, since sample size is less than 30 so the test applied is a t-test.

\overline{x}=41.0    ;    \sigma= 3.7

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

i.e. t=\dfrac{41.0-35.0}{\dfrac{3.7}{\sqrt{20}}}=7.252112359\approx7.25

Degree of freedom : n-1 = 20-1=19

Significance level = 0.01

For two tailed,  Significance level =\dfrac{0.01}{2}=0.005

By using the t-distribution table, the critical value of t =t_{19, 0.005}=2.861

Since , the observed t-value (7.25) is greater than the critical value (2.861) .

So we reject the null hypothesis, it means we have enough evidence to support the alternative hypothesis.

We conclude that there is some significance difference between the mean score for sober women and 35.0.

3 0
3 years ago
Find the next terms in each geometric sequence 64, 16, 4
zhannawk [14.2K]

the next term is 1 because 64 divide by 16 is 4 which means the geometric sequence is decreasing by 4

4 0
2 years ago
Read 2 more answers
Scott had 3 equal stacks of baseball cards. He gave one stack to his brother Shawn.
Anuta_ua [19.1K]
90 cards in total and 30 in each stack
6 0
3 years ago
Read 2 more answers
Other questions:
  • SAT scores are normally distributed, with a mean of 500 points and a standard deviation of 100 points. Suppose you take the SAT.
    11·2 answers
  • A fast food restaurant sells burgers, chicken sandwiches, and entree salads. If a customer buys a burger, the probability they b
    14·1 answer
  • Which is true about the graph? Check all that apply
    12·2 answers
  • What is the answer to this question
    14·1 answer
  • Find the zeros of f(x)=-3x^3+6x+5.
    8·2 answers
  • Factor completely 2x^3 + 14x^2 + 6x + 42.
    6·1 answer
  • During last year Adam's height increased from 125 cm to 135 cm. By how many percents did it change?
    11·2 answers
  • PLEASE HELP!!! (Thank you) :)
    11·2 answers
  • Evaluate each using the values given. You must show all the work including the steps to solve.
    9·1 answer
  • If using the method of completing the square to solve the quadratic equation x2 + 3x - 17 = 0, which number would have to be add
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!