In an effort to test the hypothesis that the proportion of voters in the younger than 40 year old age bracket who will vote for a particular politician is different than the proportion voters in the above 40 age bracket, the following data was collected. Test hypothesis at 0.10 level of significance. Population Number Who Will Vote for Politician Sample Size

Below 40 348 700
Above 40 290 650

Required:
a. Reject the Null Hypothesis and condlude that the proportion of voters in the younger than 40 year oid age bracket who will vote for a particular different than the proportion voters in the above 40 age bracket.
b. Do not reject the Null Hypothesis and conclude that the proportion of wotors in the younger than 40 year old age bracket who will vote for a particular politician is not different than the proportion voters in the above 40 age bracket.

We reject H₀ we support the claim that the two proportion are different

Step-by-step explanation:

Younger than 40 years old

Sample size  n₁  = 700

x₁  = 348

p₁ = 348 / 700      p₁ = 0,497     p₁ = 49,7 %

Above 40 years old

Sample size  n₂  = 650

x₂  = 290

p₂ = 290/ 700     p₂ = 0,414      p₂  = 41,4 %

p  =  ( n₁*p₁  +  n₂*p₂ ) / n₁ + n₂

p = 700 * 0,497  + 650 * 0,414 )   / 700 + 650

p = ( 347.9 + 269,1 ) / 1350

p = 0,457      p  = 45,7 %

q = 1 - p         q  = 54,3 %        q = 0,543

CI  is 90 %   significance level is  10 %     α = 10 %     α = 0,1  α/2 = 0,05

zscore for α/2       from z- table is : z(c) = 1,64

Test Hypothesis

Null Hypothesis                                    H₀        p₁  =  p₂

Alternative Hypothesis                        Hₐ        p₁  ≠  p₂

To calculate  z(s) =  (  p₁  -  p₂ ) / √ pq/n₁   +  pq/ n₂

p₁  -  p₂  =  0,497  -  0,414  =  0,083

√ pq/n₁   +  pq/ n₂   = √  0,457*0,543/ 700   +  0,457*0,543/ 650

√ pq/n₁   +  pq/ n₂   =  √ 3,545*10⁻⁴  + 3,82 * 10⁻⁴

√ pq/n₁   +  pq/ n₂   =  2,71 * 10⁻²   =  0,0271

z(s) =  0,083/ 0,0271

z(s) = 3,06

Comparing    z(s)  and z(c)

|z(s)| > |z(c)|

Then z(s) is in the rejection region and we reject H₀

part d

step-by-step explanation:

theresa talked her parents into getting sd cards for her phone and her brother’s phone. inserting an sd card into a phone gives it more storage. they both get 8-gigabyte sd cards. how many bits of storage come with each sd card? type your answer in both scientific and standard notation.

x-3y=4

step-by-step e