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abigailguzman4108
13.06.2020 •
Mathematics
A randomized telephone survey of adults in the United States determines that a certain number out of 504 respondents have one or more pets. They use p^ to construct a 95% confidence interval to estimate the proportion p of American adults who have pets to be (0.56137,0.60529).
How many respondents said they have one or more pets?
283
294
305
290
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Ответ:
The critical value for 95% of confidence is![z_{\alpha/2}=1.96](/tpl/images/0685/3546/6c626.png)
And since we know the total and the proportion is defined as:
If we solve for X (number of people who say yes) we got:
And the best answer would be:
294
Step-by-step explanation:
We know that the confidence interval for the proportion is given by:
The margin of error for the proportion interval is given by this formula:
The margin of error can be calculated with this formula:
And the estimation for the true proportion is:
The critical value for 95% of confidence is![z_{\alpha/2}=1.96](/tpl/images/0685/3546/6c626.png)
And since we know the total and the proportion is defined as:
If we solve for X (number of people who say yes) we got:
And the best answer would be:
294
Ответ:
Explanation - When you look at the bar graph you can see that the other bar is 3 times higher than the other bar
This will mislead many people with thinking its 3x the other bar
But if u had payed close attention to the intervals then it tells u that it’s actually not 3x the other bar