SAT College

Construct a 99% confidence interval of the population proportion using the given information. X= 105, n= 150

Answers

Answer 1

Answer:150

Explanation:n =

x = 106

\hat p = x / n = 106 / 150 = 0.707

1 -\hat p = 1 - 0.707 = 0.293

At 99% confidence level the z is ,

\alpha = 1 - 99% = 1 - 0.99 = 0.01

\alpha / 2 = 0.01 / 2 = 0.005

Z\alpha/2 = Z0.005 = 2.576

Margin of error = E = Z\alpha / 2 * \sqrt((\hat p * (1 - \hat p)) / n)

= 2.576 * (\sqrt((0.707 * 0.293) / 150)

=0.096

A 99% confidence interval for population proportion p is ,

\hat p- E < P <\hat p + E

0.707 - 0.096 < p < 0.707 + 0.096

0.611 < p < 0.803

Related Questions

what should I consider in planning for my future career?

Answers

Answer:Well in my perspective, think about what your good at and what you want to do with your life. Don't let anyone tell you what to do and what to not do.

Explanation:

Which of these introductory paragraphs is missing a thesis statement?

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Answers

Answer:

I think it's the 3rd one because it doesn't give a statement/opinion that can be answered/explained further. Instead, it states the fact that the average American eats more then three times the recommended amount of sugar.

The second paragraph does not present an arguable first line hence it lacks a thesis statement.

What is a thesis statement?

A thesis statement is a succint presentation of the position to be taken by the author of the essay. It is ususllay crafted into a single sentence which could even be a question. Its sets the tone for the rest of the essay and oit must be arguable.

In this case, the second paragraph does not present an arguable first line hence it lacks a thesis statement.

Learn more about thesis statement: https://brainly.com/question/14356798

HELP ASAPPP!!!!
60%, percent of a certain species of tomato live after transplanting from pot to garden. Eli transplants 16 of these tomato plants in a garden each month. Assume that the plants live independently of each other. Let X equal the number of tomato plants that live each month.
Find the mean and standard deviation of X.
You may round your answers to the nearest tenth.

μx= ... tomatoes
σx= ... tomatoes

Answers

Answer:

Mean= 9.6

Standard Deviation= 2.0

Explanation:

Khan

The mean of ux is 9.6 tomatoes from the sample mean. The standard deviation σx is 2.0 tomatoes.

What is the mean (μx) of a Binomial Distribution?

A mean of a Binomial distribution can be expressed as E(X), it is the product of the sample mean and the random variable.

So,

E = μx = np

sample size (n) = 16Population proportion (p) = 0.6

μx = 16 × 0.6

μx = 9.6 tomatoes

The exact standard deviation σx can be computed as:

[tex]\mathbf{\sigma_x = \sqrt{np(1-p)}}[/tex]

[tex]\mathbf{\sigma_x = \sqrt{16 \times 0.6 (1-0.6)}}[/tex]

σx = 2.0 tomatoes

Learn more about Binomial DIstribution here:

https://brainly.com/question/24756209

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