Which inequalities are true and false

In a recent poll, 370 people were asked if they liked dogs, and 7% said they did. Find the margin of error of this poll, at the

Dennis_Churaev [7]

Answer:

$ME=1.64\sqrt{\frac{0.07(1-0.07)}{370}}=0.0218$

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p$ represent the real population proportion of interest

$\hat p=0.07$ represent the estimated proportion for the sample

n=370 is the sample size required (variable of interest)

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.10$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And replacing into formula (a) the values provided we got:

$ME=1.64\sqrt{\frac{0.07(1-0.07)}{370}}=0.0218$

The margin of error on this case would be ME=0.0218

5 0

4 years ago

Please help me with questions 26 and 27

grandymaker [24]

26) Answer is choice A: y = -3
This is the horizontal line that cuts the figure into two congruent pieces.
--------------------------------------------------------------

27) Answer is choice A: AB = 24 and DE = 12
CA/DF = 12/6 = 2
CB/FE = 20/10 = 2
The ratio of the larger to smaller corresponding sides is 2:1 or just 2

So AB needs to be twice as long as DE
That only happens with choice A

6 0

4 years ago

There Are 200 Employees In your company. Fifty of them do not have company health insurance . What Percentage Of the employees d

Anettt [7]

25 percent of the employees does not have company Health Insurance

5 0

4 years ago

Read 2 more answers

Determine whether the sampling method described below appears to be sound or is flawed. In a survey of 707 subjects, each was a

storchak [24]

Answer:In a survey of 525 subjects, each was asked how often he or she read a book. The survey subjects were interest users who responded to a question that was posted on a news website. It is flawed because it is a voluntary response sample 2. In a survey of 663 human resource professionals, each was asked about the importance of the education of a job applicant. The survey subjects were randomly selected by pollsters from a reputable market research firm. It appears to be sound because the data are not biased in any way 3. Several studies showed that after eating 4 servings of dairy a day, subjects had lowered risk of osteoporosis. A dairy farmers’ organized financed this research. What is wrong with this study? Self- interest study 4. Based on a study of weights of men and woman who are vegetarian, a searcher concludes that eating vegetables causes people to lose weight.

7 0

4 years ago

Which number has a 6 that is 1/10 the value of the 6 in 326.48

ELEN [110]

Answer:

1.00 one is the answer ghbcjxtk NC fygvcgu HD drthh

4 0

3 years ago