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ch4aika [34]
3 years ago
15

PLEASE HELP ASAP 20 POINTS PLUS BRAINIEST!

Mathematics
1 answer:
klemol [59]3 years ago
5 0

the greatest possible error when measuring in feet is 1/2 foot

 answer is B


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Find the confidence interval with a 90% level of confidence. In October 2010, Gallup Poll asked 510 randomly sampled adults the
ratelena [41]

Answer:

90% confidence interval for the percent of the population who consider the death penalty to be "fair" is [54.4% , 61.6%].

Step-by-step explanation:

We are given that in October 2010, Gallup Poll asked 510 randomly sampled adults the question, "Generally speaking, do you believe the death penalty is applied fairly or unfairly in this country today?"

Of these, 58% answered "fairly", 36% said "unfairly" and 7% said they didn't know.

Firstly, the Pivotal quantity for 90% confidence interval for the population proportion is given by;

                              P.Q. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion who answered death penalty "fair" = 58%

           n = sample of adults = 510

           p = population percentage

<em>Here for constructing 90% confidence interval we have used One-sample z test for proportions.</em>

<u>So, 90% confidence interval for the population percentage, p is ;</u>

P(-1.645 < N(0,1) < 1.645) = 0.90  {As the critical value of z at 5% level

                                                   of significance are -1.645 & 1.645}  

P(-1.645 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 1.645) = 0.90

P( -1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < \hat p-p < 1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.90

P( \hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < p < \hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.90

<u>90% confidence interval for p</u> = [\hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ,\hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }]

             = [ 0.58-1.645 \times {\sqrt{\frac{0.58(1-0.58)}{510} } } , 0.58+1.645 \times {\sqrt{\frac{0.58(1-0.58)}{510} } } ]

             = [0.544 , 0.616]

Therefore, 90% confidence interval for the percent of the population who consider the death penalty to be "fair" is [54.4% , 61.6%].

6 0
4 years ago
There are two urns, each of them containing two blue balls and two red balls. We randomly draw two balls from the first urn and
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