a satisfaction survey is administered to 568 people. seventy- one people were unsatisfied with the product. which statement is true?
a. 1 out of every 8 clients was unsatisfied
b. 6 out of 8 clients were satisfied
c. 1/4 pf the clients were unsatisfied
d. 2/3 of the clients were satisfied
71/568 were unsatisfied
reduce the fraction to 1/8
71/568 = 1/8 = 0.125 = 12.5%
Which statement is true?
Well, well, well. Let's take a look at this satisfaction survey. Out of 568 people, a grand total of 71 were unsatisfied. Now, let's use a little bit of math-infused clown logic to break this down.
a) 1 out of every 8 clients was unsatisfied? Well, let's see. If you divide 568 by 8, you get... what is this, 71? Hold on a moment, that means this statement is true! One point for option A!
b) Now, this statement claims that 6 out of 8 clients were satisfied. But wait, if we take 568 divided by 8, we get 71 again! Looks like this statement isn't true. Sorry, option B, no point for you.
c) Ah, option C, saying that 1/4 of the clients were unsatisfied. But 1/4 of 568 is... hold on, let me crunch the numbers here... oh, it's actually 142! So, this statement is not true. Sorry, option C, no point for you either.
d) Finally, option D claims that 2/3 of the clients were satisfied. But, if we look at our previous calculations, we can see that out of 568 people, 71 were unsatisfied. So, 568 minus 71 leaves 497 satisfied clients. And if we divide that by 568... it's not even close to 2/3! Sorry, option D, no point for you either.
So, my friend, the one true statement is option A. 1 out of every 8 clients was unsatisfied. But hey, don't worry, we clowns are here to bring back smiles and satisfaction!
To determine which statement is true, let's calculate the proportions:
Total number of people surveyed = 568
Number of people unsatisfied = 71
Now, let's calculate the proportion of unsatisfied people:
Proportion of unsatisfied people = Number of people unsatisfied / Total number of people surveyed
Proportion of unsatisfied people = 71 / 568
Simplifying the fraction:
Proportion of unsatisfied people = 0.125
Now, let's evaluate each statement:
a. 1 out of every 8 clients was unsatisfied.
The calculated proportion of unsatisfied people is 0.125, which is equivalent to 1/8. Therefore, statement a is true.
b. 6 out of 8 clients were satisfied.
This statement is not supported by the given information, so statement b is false.
c. 1/4 of the clients were unsatisfied.
The calculated proportion of unsatisfied people is 0.125, which is not equivalent to 1/4. Therefore, statement c is false.
d. 2/3 of the clients were satisfied.
Since the proportion of unsatisfied people is 0.125, subtracting it from 1 (1 - 0.125) gives us the proportion of satisfied people. Evaluating this, we find that 0.875 is not equivalent to 2/3. Therefore, statement d is false.
In conclusion, the only true statement is a. 1 out of every 8 clients was unsatisfied.
To determine which statement is true, we need to calculate the proportions.
First, let's calculate the proportion of unsatisfied people:
Proportion of unsatisfied people = (number of unsatisfied people) / (total number of people surveyed)
Proportion of unsatisfied people = 71 / 568 = 0.125 (rounded to three decimal places)
Now, let's analyze each statement:
a. 1 out of every 8 clients was unsatisfied
To check if this statement is true, we need to see if the proportion of unsatisfied people is equal to or close to 1/8.
Proportion of unsatisfied people = 0.125 ≠ 1/8. Therefore, statement (a) is not true.
b. 6 out of 8 clients were satisfied
This statement suggests that the majority of clients were satisfied. To check if this statement is true, we need to calculate the proportion of satisfied people.
Proportion of satisfied people = 1 - (proportion of unsatisfied people)
Proportion of satisfied people = 1 - 0.125 = 0.875
Proportion of satisfied people = 0.875 = 7/8. Therefore, statement (b) is true.
c. 1/4 of the clients were unsatisfied
To check if this statement is true, we need to compare the proportion of unsatisfied people to 1/4.
Proportion of unsatisfied people = 0.125 ≠ 1/4. Therefore, statement (c) is not true.
d. 2/3 of the clients were satisfied
To check if this statement is true, we need to compare the proportion of satisfied people to 2/3.
Proportion of satisfied people = 0.875 ≠ 2/3. Therefore, statement (d) is not true.
In conclusion, the correct statement is b. 6 out of 8 clients were satisfied.