In the survey of 891 US adults who follow baseball in a recent year, 184 said that the Boston red sox would win the world series. Construct a 90% confidence interval for the population proportion of US adults who follow baseball who in a recent year said the Boston red sox would win the world series

90% confidence interval for the population proportion of US adults who follow baseball

( 0.1842 , 0.22880)

Step-by-step explanation:

Explanation:-

Given data the survey of 891 US adults who follow baseball in a recent year, 184 said that the Boston red sox would win the world series.

The sample proportion

                           q = 1-p = 1- 0.20650 =0.79350

Confidence intervals

90% confidence interval for the population proportion of US adults who follow baseball

The tabulated value Z₀.₉₀ = 1.645

(0.20650 - 0.02230 , 0.20650+0.02230)

( 0.1842 , 0.22880)

Conclusion:-

90% confidence interval for the population proportion of US adults who follow baseball

( 0.1842 , 0.22880)

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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