Answer:
(a) The estimate the percentage of US adults who were victims at the 90% confidence level is (12%, 15%).
(b) The estimate the percentage of US adults who were victims at the 99% confidence level is (11%, 16%).
Explanation:
The percentage of Americans who had been victims of crime during a one-year period is, [tex]\hat p=0.132[/tex].
The sample selected was of size, n = 1105.
The (1 - α)% confidence interval for the population proportion is:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
(a)
The confidence level is 90%.
The critical value of z for 90% confidence level is, z = 1.645.
Compute the 90% confidence interval for the percentage of US adults who were victims as follows:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]=0.132\pm 1.645\times\sqrt{\frac{0.132(1-0.132)}{1105}}\\\\=0.132\pm 0.0168\\\\=(0.1152, 0.1488)\\\\\approx (0.12, 0.15)[/tex]
Thus, the estimate the percentage of US adults who were victims at the 90% confidence level is (12%, 15%).
(b)
The confidence level is 99%.
The critical value of z for 99% confidence level is, z = 2.58.
Compute the 99% confidence interval for the percentage of US adults who were victims as follows:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]=0.132\pm 2.58\times\sqrt{\frac{0.132(1-0.132)}{1105}}\\\\=0.132\pm 0.0263\\\\=(0.1057, 0.1583)\\\\\approx (0.11, 0.16)[/tex]
Thus, the estimate the percentage of US adults who were victims at the 99% confidence level is (11%, 16%).
40 points! SAT Math help
Answer: y = 4
Explanation:
Since line a and line b are parallel, they will have the same slope.
slope (m) for line a is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{5-1}{4-(-2)}=\dfrac{4}{6}\quad \rightarrow \quad m=\large\boxed{\dfrac{2}{3}}[/tex]
Next, use the Point-Slope formula on line b to find y:
[tex]y_2-y_1=m(x_2-x_1)\\\\(x_1, y_1)=(-4,-4)\qquad (x_2,y_2)=(8.y)\qquad m=\dfrac{2}{3}\\\\\\y-(-4)=\dfrac{2}{3}\bigg(8-(-4)\bigg)\\\\\\y+4=\dfrac{2}{3}(12)\\\\\\y+4=2(4)\\\\\\y+4=8\\\\\\\large\boxed{y=4}[/tex]
salaries of 45 college graduates who took a statistic course in college have a mean of 68,500 assuming a standard deviation, of 10,990, construct 95% confidence interval for estimating the population mean mu
Explanation:
We are given:
sample size= n = 45
sample mean = x = 61,300
sample standard deviation =18,246
Since the population standard deviation is not known we will use t distribution to find the confidence interval.
Confidence interval = 99%
Degrees of freedom= n - 1 = 45 – 1 = 44
Critical t value = 2.692
The 99% confidence interval will be:[tex](x-t_{critical}* \frac{s}{ \sqrt{n} }, x+t_{critical}* \frac{s}{ \sqrt{n} }) \\ \\ (61300-2.692* \frac{18246}{ \sqrt{45} }, 61300+2.692* \frac{18246}{ \sqrt{45} }) \\ \\ (53978,68622)[/tex]
Thus, the 99% confidence interval for the population mean is:
53978 to 68622
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69 of 100
Licensee Carol is representing seller Cameron. Carol is currently a
free agent.
dual agent.
listing agent.
recording agent.
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Answer:
Dual agent.Explanation:
A dual agent is a person who represents both the seller and the buyer. In a dual agency, a buyer may hire an agent to represent him/her while the seller also hires an agent to represent his/her interest.Most of the time, both the seller and buyer have the same agent to negotiate a contract or transaction. In a dual agency, the agent is normally expected to represent both parties in a fair manner.All of the following ane benefits to earning a college degree except
can you please give us the options :)
Answer:
There are many advantages and disadvantages of a college degree. For example, a disadvantage might be the cost of going to college.
Explanation:
The author's attitude toward Albert Huger is best described as
Aid awarded based on family income is called
Explanation:
Grants are a form of student aid that you do not need to work for or repay. That's why they're often called “gift aid.” Grants are typically awarded based on financial need, taking into consideration a family's income and assets. ... VSAC can help you access the full range of grant opportunities
Answer:
need-based
Explanation:
Methods in electrochemistry that can be used for the separation of proteins and enzymes?
Answer:
redox proteins can be attached to electrode surfaces in a “wired” configuration, that is, one that facilitates direct electron transfer. The feasibility of simple electroactive adsorption onto a range of electrode surfaces is illustrated, with a highlight on the recent advances that have been achieved in biotechnological device construction using carbon materials and metal oxides. The covalent crosslinking strategies commonly used for the modification and biofunctionalization of electrode surfaces are also evaluated. Recent innovations in harnessing chemical biology methods for electrically wiring redox biology to surfaces are emphasized.
Explanation:
Angles A and B are supplementary. The measure of angle A is twice the measure of angle B. What is the measure of angle B in radians?
Answer:
The answer is π/3 rad.
Explanation:
Given that ∠A and ∠B are supplementary angles so when both angles are added up, it will form 180°. ∠A is twice the measure of ∠B :
[tex]let \: B = θ \\ let \: A = 2B = 2θ[/tex]
[tex]2θ + θ = 180[/tex]
[tex]3θ = 180[/tex]
[tex]θ = 180 \div 3[/tex]
[tex]θ = 60[/tex]
Next, you have to convert 60° into radian by using the formula :
[tex] \frac{θ}{180} \times \pi[/tex]
[tex] \frac{60}{180} \times \pi[/tex]
[tex] = \frac{1}{3} \times \pi[/tex]
[tex] = \frac{\pi}{3} \: rad[/tex]
A family has four children. If the genders of these children are listed in the order they are born, there are sixteen possible
outcomes: BBBB, BBBG, BBGB, BGBB, GBBB, BGBG, GBGB, BGGB, GBBG, BBGG, GGBB, BGGG, GBGG, GGBG, GGGB, and GGGG.
Assume these outcomes are equally likely. Let X represent the number of children that are girls. Find the probability distribution of
Find the number of possible values for the random variable X
Answer:
There are 5 possible values for the random variable X.
Explanation:
