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e-lub [12.9K]
3 years ago
6

An employee makes 9/hour. The employee arrives ten minutes late each day. How much money does the employee lose each week?

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
7 0
The employee makes 7.50 per hour
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In a recent Super Bowl, a TV network predicted that 50 % of the audience would express an interest in seeing one of its forthcom
coldgirl [10]

Answer:

z= -0.968

We can conclude that we fail to reject the null hypothesis, and we can said that at 5% of significance the proportion of people who says that  they would watch one of the television shows not differs from 0.5 or 50% .  

Step-by-step explanation:

1) Data given and notation n  

n=106 represent the random sample taken

X=48 represent the people who says that  they would watch one of the television shows.

\hat p=\frac{48}{106}=0.453 estimated proportion of people who says that  they would watch one of the television shows.

p_o=0.5 is the value that we want to test

\alpha represent the significance level  

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that 50% of people who says that  they would watch one of the television shows.:  

Null hypothesis:p=0.5  

Alternative hypothesis:p \neq 0.5  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.453 -0.5}{\sqrt{\frac{0.5(1-0.5)}{106}}}=-0.968  

4) Statistical decision  

P value method or p value approach . "This method consists on determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level is not provided, but we can assume \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z  

So based on the p value obtained and using the significance level assumed \alpha=0.05 we have p_v>\alpha so we can conclude that we fail to reject the null hypothesis, and we can said that at 5% of significance the proportion of people who says that  they would watch one of the television shows not differs from 0.5 or 50% .  

6 0
3 years ago
Y=2,y=-1/2 thats the equation but it told me to write more idk why
Darina [25.2K]

More information is needed.

8 0
3 years ago
Gianna is preparing for the upcoming tennis season. According to her schedule, she can complete at most 10 workouts this week. I
Strike441 [17]
The whole number of minutes that Gianna complete each week as a function of x and y:
45x+30y
Since the above number is greater than 450 minutes, we get the inequality:
45x+30y\geq450
Also, "she can complete at most 10 workouts this week" so we deduce the inequality:
\\x+y\leq10
Therefore, the system of inequalities is the following:
45x+30y\geq450
\\x+y\leq10
The above system has many solutions, for example :
4 0
3 years ago
WHAT ARE THE EXCLUDED VALUES?
hichkok12 [17]
Since the denominator cannot be zero, you can set 4z+1=0 to find the excluded values. 
4z+1=0
4z=-1
z=-1/4
And thus, z cannot equal -1/4
5 0
3 years ago
How do you determine the slope interscept equation of two given pointa
DiKsa [7]

Step-by-step explanation:

To find the slope intercept form of any equation using two points, you first need to find the slope. You can do this using the slope formula below.

m(slope) = (y2 - y1)/(x2 - x1)

In this equation, we find the slope by putting in the values we have given the points. The first point you have would be (x1, y1). So if your first point is (3, 1), you would put 3 in for x1 and 1 in for y1. Then you do the same for the second point using (x2, y2).

After you've solved that equation and got m, you can use point-slope form. Take your first point and your newly found slope and plug the values into the following equation.

y - y1 = m(x - x1)

After this, you can solve for y and that will be your slope intercept form.

7 0
2 years ago
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