In June 2016, a CBS News poll asked a sample of adults nationwide whether it should be legal or not legal for same-sex couples to marry†. The opinions of adults nationwide were as follows: 58% legal; 33% not legal; and 9% unsure/ no answer.
(a) What type of distribution is this?
relative percent distribution cumulative percent distribution cumulative frequency distribution simple frequency distribution
(b) Knowing that 1,280 adults were polled nationwide, how many
Americans polled felt that same-sex couples should be allowed to
legally marry? (Round your answer to the nearest whole
number.)
Americans
(a)
The distribution here is : relative percent distribution
Explanation : Clearly, here we are given percentages and not the actual number of people who have an opinion on the matter. Thus, it is clearly not a simple or cumulative frequency distribution. Moreover, the percent distribution here is not cumulative.
(b)
We can find the number of Americans who felt same-sex couples should be allowed to legally marry by multiplying the total no. of people polled by the percent of people who voted that the same-sex marriages should be legalized.
Thus, no. of Americans polled who felt that same-sex couples should be allowed to legally marry
= 1280*(58%)
= 1280*(0.58)
= 742.4
= 742 (Rounded to the nearest whole number)
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