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Troyanec [42]
2 years ago
15

Can I get help with my homework ​

Mathematics
1 answer:
AURORKA [14]2 years ago
7 0
1 = scale factor of 2 and x =3
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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 <u>normal distribution and the central limit theorem</u>, 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 <u>p-value of Z when X = 0.59</u>, 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 <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213

7 0
2 years ago
What is the square root of 46?
Kazeer [188]
If you estimate
7 times 7=49 so the square root of 46 is less than 7
6 times 6= 36 so the square root of 46 is more than 6
so if you do it on a calculator the answer is 6.78
8 0
2 years ago
Read 2 more answers
Determine the value of x.
harina [27]

Answer:

2

Step-by-step explanation:

7 0
2 years ago
A government health official is interested in whether there has been a statistically significant decrease in teen smoking rates.
Nostrana [21]

Answer: B

Step-by-step explanation:

The p-value is greater than the significance level (0.09 > 0.05), so we "fail to reject" H0.

The p-value and significance level are provided from the questions .

General rule of P value :  When a P value is less than or equal to the significance level, you reject the null hypothesis.

7 0
2 years ago
Which two expressions are equivalent?
Mnenie [13.5K]

Answer:

I believe it's the first one

4 0
2 years ago
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