A political action committee wanted to estimate the proportion of county residents who support a change to the county leash law. They took a random sample of 600 county residents and found that the proportion who wanted to change the law was 33% with a margin of error of +/- 4% (with 95% confidence). This implies:_____

a. If we took another sample of 600 residents the sample proportion would definitely be between 29% and 37%.
b. If we take many other samples from this population 95% of them will have a sample proportion that is between 29% and 37%.
c. We can not conclude anything about the population parameter since this is only a sample.
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
e. There is a 95% chance that the true parameter is 33%.

Answers

Answer 1

Answer:

d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.

Step-by-step explanation:

Meaning of a confidence interval:

A x% confidence interval being between a and b means that we are x% sure that the true population proportion is between a and b.

In this question:

Sample of 600, proportion who wanted to change the law was 33% with a margin of error of +/- 4% (with 95% confidence). This implies:

From the concept of confidence interval above, the correct answer is:

d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.


Related Questions

Luis solves the following system of equations by elimination.
5s+ 3t = 30
2s+3t=-3
What is the value of s in the solution of the system?

Answers

the value of s is 11

Ming works as a quality assurance analyst at a bottling factory. She wants to use a one-sample z interval to estimate what proportion of 500 ml bottles are underfilled. She wants the margin of error to be no more than 4% at 90% confidence. What is the smallest sample size required to obtain the desired margin of error?
a) 271
b) 423
c) 651
d) 888

Answers

Answer:

Sample size is [tex]n=423[/tex]

Step-by-step explanation:

Given that,

Margin of error [tex]=4[/tex]%

Confidence level [tex]=90[/tex]%

Suppose, sample proportion[tex]=0.5[/tex]

        i.e. [tex]\hat{P}=0.5[/tex]

We know that,

     Margin of error [tex]=2^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex]

 ∴ [tex]1.64\sqrt{\frac{0.5(0.5)}{n} } \leq 4\%[/tex]

[tex]\Rightarrow 1.64\sqrt{\frac{0.25}{n} } \leq 0.04[/tex]

[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq \frac{0.04}{1.64}[/tex]

[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq 0.0243[/tex]

[tex]\Rightarrow \sqrt{n}\geq \frac{0.5}{0.0243}[/tex]

[tex]\Rightarrow \sqrt{n}\geq 20.57[/tex]

squaring on both side,

∴ [tex]n=423.1249[/tex]

Hence, the sample size is,

   [tex]n=423[/tex]

Hence, the correct option is [tex](b).[/tex]

       

Answer:

423

Step-by-step explanation:

Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.
Part 1 out od 2
Describe the cross section formed by the plane and the sphere.

Answers

9514 1404 393

Answer:

  circle of radius 27 inches

Step-by-step explanation:

Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.

The cross section is a circle of radius 27 inches.

Other Questions
Which statement best expresses the central idea of the third quatrain?(sonnet 18) Hey can yall help me with this question thank you What is creating our Earth's Magnetic field?1) Our Earth's iron liquid outer core rotating around the solid inner core2) Our Earth having a stationary inner core3) Our Earth having rocky center4) All of the above did the cult of Domesticity oppress or empower women in the 19th century The Bills of Rights of both the Texas Constitution and the United States Constitution are mostly concerned withIndividual RightsIndividual RightsNone of the aboveNone of the aboveStates' RightsStates' RightsFederalism why do you think we should wear mask? AP GOVERNMENT SHORT WRITINGIdentify and discuss elements of the American view of the political system. PLS ANSWERE QUESTIONS 1-4 ROses are red and violets are blue ]i have something hardwhen it goes in it is hardwhen it comes out it is softwhen if you keep it in longer it gets strongerit comes out dripping wetand comes out softit could also be good for the throughcomment what u think it is paste this and give it to someone you love and are craving to sleep with Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.Part 1 out od 2Describe the cross section formed by the plane and the sphere. John Wycliffe and Jan Hus .. WHAt did they do .. what facts Which one!?!? Help please Luis solves the following system of equations by elimination.5s+ 3t = 302s+3t=-3What is the value of s in the solution of the system? Which stage of the cell cycle happens directly after cytokinesis?AmitosisBM phaseCanaphaseDinterphase Plllllllllllllllllllllllzzzzzzzzzzzz help me out Im confused 25 points I need help with a ela short response, i will mark brainliest (poem and question are in the photos) PLEASE HELP ME FAST!!! Monica's bicycle wheel has a radius of 16 inches. Kevin's tricycle wheel has a radius of 8 inches. How many times larger is the circumference of Monica's wheel that the circumference of Kevin's tricycle wheel? Show your work Question 4If you have a cell that has a higher concentration of water inside the cell thanoutside the cell, which direction will the water move?1.Outside2.Neither (I already tried this one its incorrect)3.Inside Hi! If you could please do my assignment, I'd be grateful! I'll also mark brainliest, giving thanks, and hearts for the best. Thank you!!! A telemarketer earns a fixed amount for each call that he makes, as shown inthe graph below.If the telemarketer makes 12 calls, how much will he earn in total?A. $4.80B. $9.60C. $0.80D. $1.20