Answer:
Now we can calculate the p value with this probability:
If we use a significance level os 0.05 we see that the p value is lower than the significance level so then we can conclude that the true proportion of students with jobs is higher than 0.35 for this case. If we decrease the significance level to 1% the result changes otherwise not.
Step-by-step explanation:
Information given
n=78 represent the random sample taken
X=36 represent the students with jobs
estimated proportion of students with jobs
is the value that we want to test
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the proportion of students with jobs is higher than 0.35, the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info we got:
Now we can calculate the p value with this probability:
If we use a significance level os 0.05 we see that the p value is lower than the significance level so then we can conclude that the true proportion of students with jobs is higher than 0.35 for this case. If we decrease the significance level to 1% the result changes otherwise not.
The correct answer is 82% of 50 (41) / 170% of 30 (51) /65% of 80 (52)
Explanation:
The first step to know whether a value is greater than another is to find the value each percentage represents depending on the total. This process is shown below.
1. 65% of 80- This implies 80 is 100% and 85% needs to be found. Use the following formula:
80 / 100 = 0.8 x 65 = 52 or the total number divided by 100 and multiplied by the percentage you want to know
2. 82% of 50 - Repeat the same process
50 / 100 = 0.5 x 82 = 41
3. 170% of 30
30 / 100 = 0.3 x 170 = 51
4. Finally organize the values
82% of 50 (41)
170% of 30 (51)
65% of 80 (52)
The system of equations that models the given situation is given as follows:
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: Number of single lawns cut.
- Variable y: Number of front and back lawns cut.
He had 25 customers, hence:
x + y = 25.
He charges $15 for a single lawn and $25 for a front and back lawn, and made a total of $475, hence:
15x + 25y = 475
More can be learned about a system of equations at brainly.com/question/24342899
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7. 20
8. 680
9. 700
10. 4,000
11. 106,000
12. 5,800
