Apolitical analyst found 43% of 300 randomly selected republican voters feel that the federal government has too much power. find the 95% confidence interval of the population proportion of republican voters who feel this way.

Step-by-step explanation:

We want to determine 95% confidence interval of the population proportion of republican voters who feel that the federal government has too much power.

43% of 300 randomly selected republican voters feel that the federal government has too much power. This means that

p = 43/100 = 0.43

q = 1 - p = 1 - 0.43 = 0.57

n = 300

mean, u = np = 300 × 0.43 = 129

Standard deviation, s = √npq = √129×0.57 = 8.575

For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean +/- z ×standard deviation/√n

It becomes

129 +/- 1.96 × 8.575/√300

= 129 +/- 0.9704

= 129 +/- 0.9704

The lower end of the confidence interval is 129 - 0.9704 =128.0296

The upper end of the confidence interval is 129 + 0.9704 =129.9704

Therefore, with 95% confidence interval, the mean of the population proportion of republican voters who feel that the federal government has too much power is between 128.0296 and 129.9704

the fist one is not equalvalent but i think th second one isand the third isnt definetly or the last one is i think. hope this !

step-by-step explanation:

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.