The manufacturer of the colorsmart-5000 television set claims 95 percent of its sets last at least five years without needing a single repair. in order to test this claim, a consumer group randomly selects 420 consumers who have owned a colorsmart-5000 television set for five years. of these 420 consumers, 303 say their colorsmart-5000 television sets did not need a repair, whereas 117 say their colorsmart-5000 television sets did need at least one repair. (a) find a 99 percent confidence interval for the proportion of all colorsmart-5000 television sets that have lasted at least five years without needing a single repair.

(0.665 , 0.777)

Step-by-step explanation:

Given : Sample size of consumers: n=420  ;

Number of consumers say their ColorSmart-5000 television sets did not need a repair=303

The the sample proportion for consumers say their ColorSmart-5000 television sets did not need a repair :

Significance level :

Critical value =

The confidence interval for population proportion is given by :_

i.e.  

Hence,  a 99 percent confidence interval for the proportion of all ColorSmart-5000 television sets that have lasted at least five years without needing a single repair = (0.665 , 0.777)

true

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.