In the last mayoral election in a large city, 47% of the adults over the age of 65 voted Republican. A researcher wishes to determine if the proportion of adults over the age of 65 in the city who plan to vote Republican in the next mayoral election has changed. Let p represent the proportion of the population of all adults over the age of 65 in the city that plan to vote Republican in the next mayoral election. In terms of p, the researcher should test which of the following null and alternative hypotheses?H0: p = 0.47 vs. Ha: p > 0.47H0: p = 0.47 vs. Ha: p < 0.47H0: p = 0.47 vs. Ha: p ≠ 0.47

Null Hypothesis, : p = 47%  

Alternate Hypothesis, : p 47%

Step-by-step explanation:

We are given that in the last mayoral election in a large city, 47% of the adults over the age of 65 voted Republican.

A researcher wishes to determine if the proportion of adults over the age of 65 in the city who plan to vote Republican in the next mayoral election has changed.

Let p = proportion of the population of all adults over the age of 65 in the city that plan to vote Republican in the next mayoral election.

So, Null Hypothesis, : p = 47%  

Alternate Hypothesis, : p 47%

Here, null hypothesis states that the proportion of adults over the age of 65 in the city who plan to vote Republican in the next mayoral election is equal to 47%.

On the other hand, alternate hypothesis states that the proportion of adults over the age of 65 in the city who plan to vote Republican in the next mayoral election is different from 47%.

Also, The test statistics that will be used here is One-sample z proportion statistics;

                               T.S.  =  ~ N(0,1)

Hence, the researcher should test the above null and alternative hypotheses.

1/3

step-by-step explanation:

to find this, you can divide 12 by 4 which is 3 or you can multiply 4 until you reach 12 (4x3=12). both should give you 3, meaning theres three times less bananas than there are oranges.

answer: 4 meters

step-by-step explanation: to you understand 2/3 better you can do 1 divided by 3 = . then multiply that by the 2 which is .66666666666666667 then you would do 6 x .66666666666666667 which is 4.      

hope this .