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

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

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?


What's worse, seeing your roommate's dirty socks in a pile in your dorm, or having to wake up a half hour earlier to drive to class instead of simply walking across campus? For many students, college is the first time they will live away from the comforts of their childhood homes. College is a time for making the first of life's many grown-up decisions. It is important to consider both the benefits and drawbacks to living on- or off-campus in order to have the best experience during your college career.


Every two seconds, people destroy an area of forest the size of a football field. Deforestation is the permanent destruction of wooded areas in order to use the land for other reasons. Rainforests are especially vulnerable; logging, cattle ranching, and agriculture are three main reasons for their destruction. Rainforests are essential to our planet, but they are being destroyed by deforestation at an alarming rate. Society needs to become informed about the value of these precious ecosystems.


Did you know that there are over 33 grams of sugar in a can of soda? That is over the daily limit of total sugar for most people. So if just having one can of soda can put you over your daily limit, think about how all the sugar in cookies, candy, and other treats can add up. The average American has up to 82 grams of sugar each day. That's almost three times the recommended amount!


Author Donna Lynn Hope wondered, "How different would people act if they couldn't show off on social media? Would they still do it?” Do we truly act differently in real life than we used to before the advent of social media? Do we do things we wouldn't have done before, just to post our experiences online? It is possible for our virtual interactions to change or even decrease the way we relate in real life? In fact, overuse of social media in place of face-to-face interactions can negatively affect how we connect as a society.

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

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