Answer:
Check Explanation
Step-by-step explanation:
A) The null hypothesis would be that the proportion of newly hired candidates that are not white is not significantly different from the proportion of the applicants that are not white & there is no significant evidence that the company's hiring practices are discriminatory.
Mathematically,
H₀: μ₀ = 0.53
And the alternative hypothesis would be that there is a significant difference between the proportion of newly hired candidates that are not white is not significantly different from the proportion of the applicants that are not white. More specifically, that the proportion of newly hired candidates that are not white is significantly less than the proportion of applicants that are not white & there is significant evidence that the company's hiring practices are indeed discriminatory.
Mathematically,
Hₐ: μ₀ < 0.53
B) The two errors that can come up in this hypothesis testing include -
Type I error: We reject the null hypothesis because we obtain that the proportion of newly hired candidates that are not white is significantly less than the proportion of applicants that are not white and conclude that there is indeed significant evidence that the company's hiring practices are discriminatory when in reality, there is no significant difference and hence, no discrimination.
Type II error: We accept the null hypothesis (fail to reject the null hypothesis) because we obtained that there is no significant difference between the proportion of newly hired candidates that are not white & th proportion of applicants that are not white and conclude that there is no discrimination in the company's hiring practices when in reality, there is significant difference in the stated proportions above and significant evidence that there is indeed significant evidence that the company's hiring practices are discriminatory.
C) The power of the test increases as the significance level reduces. This is because t-statistic increases as significance level reduces.
D) The standard error of the mean used in computing the t-score is given as
σₓ = (σ/√n)
It is evident that as the value of n increases, the standard error reduces and this widens the effect of the test, hence, the power of the test increases.
Hope this Helps!!!
The starting value is 20,300, and the value is decreasing by 9.5% each year.
Because it decreases by 9.5% each year based on the previous amount, we use an exponential decay model.
A decrease by 9.5% corresponds to multiplying by 91.5% each year.
We write . We plug in 11 years for t.
$7,671.18
Answer: Jadyn’s monthly mortgage payment is $812
Step-by-step explanation:
The cost of the house is $182,000.
The down payment made is $$40,000. The balance to be paid would be
182000 - 40000 = $142000
We would apply the periodic interest rate formula which is expressed as
P = a/[{(1+r)^n]-1}/{r(1+r)^n}]
Where
P represents the monthly payments.
a represents the amount of the loan
r represents the annual rate.
n represents number of monthly payments. Therefore
a = $142000
r = 0.00351/12 = 0.000293
n = 12 × 15 = 180
Therefore,
P = 142000/[{(1+0.000293)^180]-1}/{0.000293(1+0.000293)^180}]
142000/[{(1.000293)^180]-1}/{0.000293(1.000293)^180}]
P = 142000/{1.054 -1}/[0.000293(1.054)]
P = 142000/(0.054/0.0003088)
P = 142000/174.87
P = $812
The answer is A because if you make up an age for Julia for example Julia is 6 years old. In that case we multiply her age by 3 to figure out Henry's age which is 18. Rhianna is half as old as Julia is so that would make her 3 years old. In order for Henry which he is 18 years old to get to Rhianna's age which is 3 years old. you just divide 18 by 3 which is 6 years old. therefore the answer is A
Answer:
Part A: 20 students
Part B: 4 hours
Step-by-step explanation:
Part A:
To find the number of students surveyed, we count the number of x there are in the graph.
students = 1 + 2 + 3 + 5 + 1 + 1 + 3 + 2 + 2 = 20
Part B:
To find the mean, we need to find the total number of hours volunteered first.
hours = 1x0 + 2x1 + 3x3 + 5x3 + 1x4 + 1x5 + 3x6 + 2x7 + 2x8 = 80
Now, we can find the mean. We divide the total number of hours volunteered by the number of students.
Mean = 80 ÷ 20 = 4