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Sholpan [36]
3 years ago
6

Suppose a 90 percent confidence interval to estimate a population proportion was calculated from a sample proportion of 18 perce

nt and a margin of error of 4 percent. What is the width of the confidence interval?
Mathematics
1 answer:
Ahat [919]3 years ago
8 0

Answer: The width of the confidence interval is 8%.

Step-by-step explanation:

  • The width of the confidence interval is twice the margin of error.

Given : A 90 percent confidence interval to estimate a population proportion was calculated from a Sample proportion = 18 % .

Margin of error = 4 %.

Then , the width of the confidence interval = 2 x (Margin of error)

= 2 x (4%)

= 8%

Hence, the width of the confidence interval is 8%.

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What are the solutions to x^2-5x+3=0?
Viktor [21]

Answer:

Step-by-step explanation:

You need to use the quadratic equation

x =  \frac{-b +/- \sqrt{b^2 - 4ac} }{2a}

Givens

  • a = 1
  • b = - 5
  • c = 3

x = \frac{5 +/- \sqrt{5^2 - 4a*1*3} }{2} \\

x =( 5 +/- sqrt(25 - 12) ) / 2

x = (5 +/- sqrt(13) )/2

x = (5 + sqrt(13) / 2

x = 4.303  rounded

x = (5 - sqrt(13) ) /2

x = .6972

4 0
3 years ago
Based on data collected 5 years ago, a hotel expects that 24% of all guests will request smoking rooms. The hotel suspects that
9966 [12]

Answer:

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given the hotel takes a random sample of 223 guests. Out of this sample, 39 guests requested smoking rooms.

Sample proportion

                          p = x/n = 39/223 = 0.174

Given Population proportion 'P' = 0.24

Given random sample size 'n' = 223

Level of significance ∝ =0.05

The critical value Z₀.₀₅ = 1.96

<u><em>Null Hypothesis</em></u> (H₀) : P=0.24

<u><em>Alternative Hypothesis</em></u> (H₁) : P≠ 0.24

<u><em>Step(ii)</em></u>:-

<em>Test statistic </em>

            Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }

           Z = \frac{0.174-0.24}{\sqrt{\frac{0.24 X 0.76}{223} } }

           |Z| = | -2.3084|= 2.3084

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

7 0
3 years ago
A statement can help you organize the numbers to answer a question about percents
Semenov [28]

Answer:

<u> $50</u> is <u>27.02%</u> of <u>$185</u>.

Step-by-step explanation:

Money spent on clothing = $50

Money spent on Groceries = $100

Money spent on Gas = $35

Total money spent = $185

Our question is to find the percentage of total money that is spent on clothing.

Percentage money on clothing = \frac{Money spent on clothing}{Total money} × 100

                                                   = \frac{50}{185} × 100

                                                   = 27.02% (approx)

Hence,<u> $50</u> is <u>27.02%</u> of <u>$185</u>.  

5 0
3 years ago
Read 2 more answers
One angle of a right triangle measures 8°. What is the measure of the other acute angle?
Ivahew [28]

Answer:

  82°

Step-by-step explanation:

The acute angles in a right triangle are complementary. The other one is ...

  90° -8° = 82°

5 0
3 years ago
48:PLEASE HELP Find the x-intercept of -x+2y=22
ella [17]

Answer:

-22

Step-by-step explanation:

set y equal to zero and solve like a regular singular variable equation

3 0
4 years ago
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