Answer:
There is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men
Step-by-step explanation:
The population 10 year cumulative incidence of prostrate cancer among 70 year old men, p = 0.06
The number of 50 year old men in the sample, n = 260 men
The number of the sampled men that developed prostrate cancer = 13 men
The significance level, α = 0.05
Let the null hypothesis, H₀: [tex]\hat{p}[/tex] = p
The alternative hypothesis, Hₐ: [tex]\hat{p}[/tex] ≠ p
The standard score, [tex]z_{\alpha /2}[/tex] = 1.96
The test statistic, 'z', is given as follows;
[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}[/tex]
[tex]\hat{p}[/tex] = 13/260 = 0.05
q = 1 - p = 1 - 0.06 = 0.94
[tex]Therefore, \ z=\dfrac{0.05-0.06}{\sqrt{\dfrac{0.06 \times 0.94}{260}}} = \dfrac{\sqrt{9165} }{141} \approx -0.68[/tex]
From the z-table, we find the p-value as follows;
P(z ≈ -0.68) = 0.24825
Therefore, given that the p-value, 0.24825 is larger than the significance level, α/2 = 0.025, we fail to reject the null hypothesis, and therefore, there is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men
How do I solve 1 1/3 × 2 2/4 in steps?
Answer:
3 1/3
Step-by-Step
first step is too make a an improper fraction, 1 1/3 equals 4/3 and 2 2/4 equals 10/4. next your gonna multiply 4/3 and 10/4, 4x10=40,3x4 equals 12, so it would be 40/12. but its improper, we need to reduce it. the lowest number that can go in both numbers is 4. 40 divided by 4 =10. 12 divided by 4=3. 12/3= 3 1/3
Answer:
10/3
Step-by-step explanation:
That's 1 1/3 times 2 1/2.
Converting these into improper fractions, we get 4/3 times 5/2.
Multiplying (4/3) by (5/2), we get 20/6, or, after reduction, 10/3
-595-65
Btw they are both negative numbers
Answer:
-660
Step-by-step explanation:
-595-65=-660
i will give you brainliest whoever answers correct first!!
For which Inequality would x= 4.5 not be a solution?
12-28
O8x+5>0
9x-5 <80
Ox+62 10
Answer:
12-28
Step-by-step explanation:
a gain of five meters
1.A gain of five meters:5
Because gain＝+
She has completed 50 sit-ups, which is 25% of her goal for sit-ups. How many total sit-ups does Sami
plan to do? Use the tape diagram to solve.
Share £747 in the ratio 2:7 between Tom and ben
Tom will get
Dan will get
2+7x=747 X83 83(2)=83 83(7)= 581
Step-by-step explanation:
Which number produces an irrational number when multiplied by
1/3
Answer:
all of them 1/3 is irrational
Step-by-step explanation:
Please please help help
Answer:
17 players
Step-by-step explanation:
6 people scored 2
8 people scored 3
3 people scored 4
What is the selling price of a good whose marked price is Rs 10,000 and it sold after 10% discount and levying 13% VAT?find it
Answer:
$10300
Step-by-step explanation:
Given data
Marked price= Rs 10,000
discount= 10%
VAT= 13%
Let us compute the discount and the VAT
Discount
=10/100*10,000
=0.1*10,000
=$1000
VAT
=13/100*10,000
=0.13*10,000
=$1300
Hence the cost of the good will be
=10000-1000+1300
=$10300
please help me on this
9514 1404 393
Answer:
10 ft
Step-by-step explanation:
The midsegment length is the average of the other two lengths.
(QR +PS)/2 = TU
QR +PS = 2×TU . . . . . . . . . . . . . . . multiply by 2
QR = 2×TU -PS = 2(14 ft) -18 ft . . . subtract PS; substitute given values
QR = 10 ft
Find y' for y = 7x-5 + 2x - 1
y'=
Answer:
9
Step-by-step explanation:
7x-5+2x-1=9x-6
d/dx (9x-6)=9
Can someone please help!!!
WRITE AN EQUETION TO REPREDENT ECH ONE
Answer:
2x=3
W+1.3=2.7
3y=5.1
z+1/3=1/2
Step-by-step explanation:
You just add up all on the left to equate that on the right
2x=3
W+1.3=2.7
3y=5.1
z+1/3=1/2
In case you have to solve:
x=3/2
W=2.4
y=1.7
z=1/6
Joe bought a video game that was 20% off. The game was originally $55. What was the sale price of the game?
Can someone help me please
Answer:s The first top left corner for "which graph matches the equation y=-x+3":]
Step-by-step explanation:
A parabola has its vertex at (-6, 5) and focus at (-6.25, 5). Which of the following is an equation for this parabola?
Answer:
Step-by-step explanation:
vertex and focus are horizontally aligned, so parabola is horizontal.
focal length p = distance between focus and vertex = 0.25
focus lies to the left of vertex, so the parabola opens to the left.
x = a(y-k)² + h,
vertex (h,k)
a = -1/(4p)
vertex (-6,5)
h = -6
k = 5
p = 0.25
a = -1/(4·0.25) = -1
x = -(y-5)² - 6
The sixth grade went to the museum for a field trip. There
are 75 students in the sixth grade, and 21 students did not
go. What percentage of students did not go on the field trip?
o 12%
o 28%
o 50%
O 65%
Give me 2 animals read the direction THX FOR THE PEOPLE THAT WANNA HELP
Answer:
sssssssssssssssssssssssscscscs
Step-by-step explanation:
Seminar Explanation: Or if they like teaching, then to move to a high-class school to teach where the staff and co-workers are friendly, and where the pay is good.
Can someone answer and explain ill mark brainliest
Answer:
56 of the coins are dimes
Step-by-step explanation:
Dimes = D
Quarters = Q
D+Q=102
10D+25Q=1710
-10(D+Q=102)
-10D-10Q=-1020
+10D+25Q=1710
15Q-690
Q=46
D=102-46=56
CHECK 46(25)+56(10)=1150+560=1710 = YES
Kali runs 20 laps around the track each day.Each lap around the track is 400 meters. How many days will it take kali to run a total or 12 kilometers?
Answer:
Step-by-step Explanation:
Answer:
1 and a half days
Step-by-step explanation:
400 meters x 20 laps = 8000 meters
12 kilometers - 12000 meters
1day- 8000 meters
12000 meters-8000 meters= 4000 meters
8000÷4000=2
1 day and a half
Solve each equation by factoring ⁉️NEED THIS ASAP ⁉️
Answer:
Step-by-step explanation:
Please!!!!! help!!!!!
Answer:
유퓨요ㅛㅜㅑㅑㅅ재 내 8 ㅓㅕ를펴 16 ㅐㅏ?
Step-by-step explanation:
Find the slope of the line that passes through the two points. (-3, -4), (6, 8)
Answer:
Step-by-step explanation:
let (x1 , y1) = ( - 3, - 4) and (x2 , y2) = ( 6 , 8)
Slope (m)
= y2 - y1 / x2 - x1
= 8 + 4 / 6 + 3
= 12 / 9
= 4/3
Is 6 right?? Please help
Answer:
yes, it should be
Step-by-step explanation:
My cake recipe calls for 2/3 cup of chocolate chips. I want my cake to be three
times more chocolatey than that. How many cups of chocolate chips should I
use? *
8. A bag contains 12 red tiles, 2 blue tiles, and
1 yellow tile. Betty will draw two tiles from
the bag one at a time without replacement.
What is the probability that she will draw a
red tile and then a yellow tile?
Answer:
12 over 15 and 1 over 15 i think
Step-by-step explanation:
Calculate the lateral surface area of the rectangular prism:
In the past, 30% of a country club's members brought guests to play golf sometime during the year. Last year, the club initiated a new program designed to encourage members to bring more guests to play golf. In a sample of 95 members, 34 brought guests to play golf after the program was initiated. When testing the hypothesis that the new program has increased the proportion of members bringing out guests (using a 5% level of significance), what is the null and alternative hypothesis
Answer:
The null hypothesis, H₀: p = 0.3
The alternative hypothesis is Hₐ: p ≠ 0.3
Step-by-step explanation:
The null hypothesis, H₀, in inferential statistics is the default hypothesis that the measured quantity is zero or null and therefore there is no difference between the population characteristic measured, when the quantity measured is the difference between two situations
Therefore, the null hypothesis, H₀: p = 0.3
The alternative hypothesis is usually the opposite of the null hypothesis, therefore, the alternative hypothesis Hₐ is given as follows;
The alternative hypothesis is Hₐ: p ≠ 0.3
The Wall Street Journal Corporate Perceptions Study surveys readers and asks how each rats the quality of management and the reputation of the company for over worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale. Assume the sample data for respondents below:
Reputation of Company
Quality of Management Excellent Good Fair
Excellent 40 25 5
Good 35 35 10
Fair 25 10 15
A. Use level of significance and test for independence of the quality of management and the reputation of the company. Compute the value of the test statistic (to 2 decimals).
B. If there is a dependence or association between the two ratings, discuss and use the probabilities to justify your answer.
Answer:
Step-by-step explanation:
[tex]\text{The data given for the quality measurement and other criteria can be seen below:}[/tex]
Quality management Excellent Good Fair Total
Excellent 40 25 5 70
Good 35 35 10 80
Fair 25 10 15 50
Total 100 70 30 200
The null and alternative hypothesis:
[tex]\mathbf{H_o: \text{the quality management and reputation are independent} }[/tex]
[tex]\mathbf{H_a: \text{the quality management and reputation are not independent} }[/tex]
The expected value is calculated by using the formula:
[tex]E=\dfrac{row \ total \times column \ total }{table \ total}[/tex]
After using the formula to calculate the table above; we have:
The expected values of the data to be:
Quality management Excellent Good Fair Total
Excellent 35 24.5 10.5 70
Good 40 28 1.2 80
Fair 25 17.5 7.5 50
Total 100 70 30 200
Degree of freedom = ( row - 1 ) × ( column -1 )
[tex]= (3 - 1 ) \times (3 -1)[/tex]
[tex]= 2\times 2[/tex]
[tex]=4[/tex]
[tex]\text{The p-value at level of significance of 0.05 and degree of freedom of 4 = }\mathbf{0.0019}[/tex]
Decision rule: To reject the [tex]\mathbf{H_o}[/tex] if the p-value is less than the ∝
Conclusion: We reject the [tex]\mathbf{H_o}[/tex] and conclude that quality management and reputation are not independent.
(B)[tex]\text{The P-value here implies that in case that there is no dependence between the two ratings, }[/tex][tex]\text{the probability that they will seem to show at least this kind of strong dependence is 0.0019.}[/tex]
[tex]\text{Thus, the probability that they will seem to show at least this kind of strong independence is =}[/tex][tex]\mathbf{0.0019}[/tex]