if there's a 1/3 chance that it will rain today, what fraction represents the chance that it will not rain

A CBS News/New York Times opinion poll asked 1,190 adults whether they would prefer balancing the federal budget over cutting ta

nikklg [1K]

Using the normal distribution and the central limit theorem, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean $\mu = p$ and standard error $s = \sqrt{\frac{p(1 - p)}{n}}$

In this problem:

1,190 adults were asked, hence $n = 1190$

In fact 62% of all adults favor balancing the budget over cutting taxes, hence $p = 0.62$ .

The mean and the standard error are given by:

$\mu = p = 0.62$

$s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141$

The probability of a sample proportion of 0.59 or less is the p-value of Z when X = 0.59, hence:

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.59 - 0.62}{0.0141}$

$Z = -2.13$

$Z = -2.13$ has a p-value of 0.0166.

0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

You can learn more about the normal distribution and the central limit theorem at brainly.com/question/24663213

7 0

2 years ago

Eight hours equals how many minutes

kvv77 [185]

480. 8 x 60 would equal 480

4 0

3 years ago

Read 2 more answers

Will mark brainliest if you could explain this to me??

Rasek [7]

Your answer would be 4379 members because at the very beginning you had started off with 4372 members, however as the months go by changes happen. On october, it changed by -10, meaning that 10 students left the school meaning 4372-10=4362 members remaining. Then there's november with -8, so you subtract 8 from your new total 4362-8=4354. Then december comes, and this time it's a positive number, so you have to add 23 to 4354, giving you a new total of 4377. Then there's january, and its back to a negative number so you subtract 12 from 4377, 4377-12=4365. Then february comes and it's a change of a positive number, so you add 3 to the 4365, giving you 4368. And then finally by march, it's another positive number so you add 11 to your total, giving you 4379 students which are now at school. So basically if it's a negative change, subtract from the total, and if it is a positive, add to it. And you have to continue with the total that you got from the previous change that you did. Hope this was helpful

8 0

2 years ago

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Solve for c R=5(c/a-0.3)

aalyn [17]

we have

$R=5(c/a-0.3)$