Describe the graph of the functions y=|x+2|
1 answer:
To obtain the graph of the function y = |x+2| we have to make a table of values of x to find the values of y. The absolute value or modulus of a real number is its numerical value without care its sign. For example, the absolute value of |4| and |-4| is 4.
In order to make a graph we are going to use the values (-3, -2, -1, 0, 1, 2, 3) for x.
x = -3
y = |-3 + 2| = |-1| = 1
x = -2
y = |-2 + 2| = |0| = 0
x = -1
y = |-1 + 2| = |1| = 1
x = 0
y = |0 + 2| = |2| = 2
x = 1
y = |1 + 2| = |3| = 3
x = 2
y = |2 + 2| = |4| = 4
x = 3
y = |3 + 2| = |5| = 5
<u> x ║ y</u>
-3 1
-2 0
-1 1
0 2
1 3
2 4
3 5
Obtaining the graph shown in the image attached.
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Answer:
Yes, Hypothesis test represents a statistically significant difference from 50% .
Step-by-step explanation:
We are given that 400 students were randomly sampled from a large university, and 289 said they did not get enough sleep.
Let Null Hypothesis, : p = 0.50 {means from the students sampled from the university, proportion of them who did not get enough sleep is 50%}
Alternate Hypothesis, : p
0.50 {means from the students sampled from the university, proportion of them who did not get enough sleep is different from 50%}
The test statistics we will use here is;
T.S. = ~ N(0,1)
where, = sample proportion = 289/400 = 0.7225
n = sample of students = 400
So, test statistics = = 3.143
<em>Now, at 1% level of significance, z table gives critical value of 2.5758. Since our test statistics is more than the critical value which means test statistics will lie in the rejection region, so we have sufficient evidence to reject null hypothesis.</em>
Therefore, we conclude that from the students sampled from the university, proportion of them who did not get enough sleep is different from 50%.