The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 1300 voters in the town and found that 38% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 35%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim?

We reject H₀, we have enough evidence to support the claim that the porcentage of residents who favor construction is over 35%

Step-by-step explanation:

Sample size    n  = 1300

Sample  proportion   p = 38 %      =  0,38   then  q = 62%   q =  0,62

The size of the sample is enough to consider the binomial distribution can approximate to normal distribution

p*n  =  1300*0,38     q*n  =  1300*0,62  

p*n > 10    q*n> 10

Population proportion   35%        p₀  = 35 %    p₀  = 0,35

Hypothesis Test :

Null Hypothesis                                         H₀           p = p₀

Alternative Hypothesis                             Ha           p  > p₀

The hypothesis test is a one-tail test to the right

Significance Level   α  =  0,05  we go to z-table and find z(c)

z(c) =  1,64

To calculate  z(s)

z(s)  =  (  p  -  p₀ ) / √ p*q/ n

z(s)  =  0,38  -  0,35  / √ ( 0,38 * 0,62) / 1300

z(s)  =  0,03 / 0,013

z(s)  =  2,307

Comparing  z(c)  and  z(s)

z(s)  >  z(c)      2,307  >  1,64

z(s)  is in the rejection region for H₀, we must reject H₀

We have enough evidence to support the claim

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c

2/3

step-by-step explanation: