Question
In: Statistics and Probability
The table lists the number of students from three different high schools participating in the mathematics...
The table lists the number of students from three different high schools participating in the mathematics and physics sections of a science fair High School 1 High School 2 High School 3 Mathematics 7 7 18 Physics 37 17 21
Given the following results.
a) State the alternative hypothesis statement. (1 mark)
b) State the degrees of freedom. (1 mark)
c) Find the value of A, B, and C. d) Using the p-value method, at α = 0.05, test the claim that the section of participation and the high school where the students were from are independent.
Solutions
Expert Solution
(a) The section of participation and the high school where the students were from are dependent
(b) 2
(c)
| High School 1 | High School 2 | High School 3 | Total | ||
| Mathematics | Observed | 7 | 7 | 18 | 32 |
| Expected | 13.16 | 7.18 | 11.66 | 32.00 | |
| O - E | -6.16 | -0.18 | 6.34 | 0.00 | |
| (O - E)² / E | 2.88 | 0.00 | 3.44 | 6.33 | |
| Physics | Observed | 37 | 17 | 21 | 75 |
| Expected | 30.84 | 16.82 | 27.34 | 75.00 | |
| O - E | 6.16 | 0.18 | -6.34 | 0.00 | |
| (O - E)² / E | 1.23 | 0.00 | 1.47 | 2.70 | |
| Total | Observed | 44 | 24 | 39 | 107 |
| Expected | 44.00 | 24.00 | 39.00 | 107.00 | |
| O - E | 0.00 | 0.00 | 0.00 | 0.00 | |
| (O - E)² / E | 4.11 | 0.01 | 4.91 | 9.03 | |
| 9.03 | chi-square | ||||
| 2 | df | ||||
| .0109 | p-value |
(d) The p-value is 0.0109.
Since the p-value (0.0109) is less than the significance level (0.05), we can reject the null hypothesis.
Therefore, we can conclude that the section of participation and the high school where the students were from are dependent.
orchestra answered 2 years agoRelated Solutions
The table lists the sugar content of two types of apples from three different orchards. At...
The table lists the sugar content of two types of apples from
three different orchards. At , test the claim that the sugar
content of the apples and the orchard where they were grown are not
related. Sugar Content Orchard 1 Orchard 2 Orchard 3 Apple Type 1 4
2 6 Apple Type 2 28 10 14
In an effort to compare student grades in 4 different high schools, random samples of students...
In an effort to compare student grades in 4 different high
schools, random samples of students from 4 local high schools were
selected. Their first year average college grades were computed and
recorded. Can we conclude that there are differences in the mean
grades of these students from those 4 high schools? (20
points)
Apply either the Fischer-LSD or Tukey-Omega
method to determine specifically whether schools A and C have a
significant difference in population means.
Perform the appropriate F-max...
The table below lists the prices and quantities consumed of three different goods from 2014−2016. 2014...
The table below lists the prices and quantities consumed of
three different goods from 2014−2016.
2014
2015
2016
Good
Price ($)
Quantity
Price ($)
Quantity
Price ($)
Quantity
A
12
8
16
6
18
5
B
5
18
3
30
4
25
C
1
10
2
5
5
10
a. For 2014, 2015, and 2016, determine the amount that a typical
consumer pays each year to purchase the quantities listed in the
table above.
Instructions: Round your answers to the...
The table below lists the prices and quantities consumed of three different goods from 2017−2019. 2017...
The table below lists the prices and quantities consumed of
three different goods from 2017−2019.
2017
2018
2019
Good
Price
($)
Quantity
Price
($)
Quantity
Price
($)
Quantity
A
10
8
16
6
18
5
B
5
18
3
30
4
25
C
1
10
2
5
5
10
a. For 2017, 2018, and 2019, determine the amount that a typical
consumer pays each year to purchase the quantities listed in the
table above.
Instructions: Round your answers...
3. In one of the faculty; students come from three different high school types. They are...
3. In one of the faculty; students come from three different
high school types. They are using
three different brand mobile phone. The dean claim that there is a
relationship between mobile
phone brand and high school type. Test this claim with 0.05
significance level by using the
correct test and showing each calculations step in Ms Word file.
You have to use the same
steps which we used in the lecture. You can find the steps from
lecture slides...
In 2002 the Supreme Court ruled that schools could require random drug tests of students participating...
In 2002 the Supreme Court ruled that schools could require
random drug tests of students participating in competitive
after-school activities such as athletics. Does drug testing reduce
use of illegal drugs? A study compared two similar high schools in
Oregon. Wahtonka High School tested athletes at random, and
Warrenton High School did not. In a confidential survey, 7 of 135
athletes at Wahtonka and 27 of 141 athletes at Warrenton said they
were using drugs. Regard these athletes as SRSs...
In 2002 the Supreme Court ruled that schools could require random drug tests of students participating...
In 2002 the Supreme Court ruled that schools could require
random drug tests of students participating in competitive
after-school activities such as athletics. Does drug testing reduce
use of illegal drugs? A study compared two similar high schools in
Oregon. Wahtonka High School tested athletes at random and
Warrenton High School did not. In a confidential survey, 8 of 132
athletes at Wahtonka and 29 of 111 athletes at Warrenton said they
were using drugs. Regard these athletes as SRSs...
In 2002 the Supreme Court ruled that schools could require random drug tests of students participating...
In 2002 the Supreme Court ruled that schools could require
random drug tests of students participating in competitive
after-school activities such as athletics. Does drug testing reduce
use of illegal drugs? A study compared two similar high schools in
Oregon. Wahtonka High School tested athletes at random and
Warrenton High School did not. In a confidential survey, 8 of 133
athletes at Wahtonka and 27 of 115 athletes at Warrenton said they
were using drugs. Regard these athletes as SRSs...
In 2002 the Supreme Court ruled that schools could require random drug tests of students participating...
In 2002 the Supreme
Court ruled that schools could require random drug tests of
students participating in competitive after-school activities such
as athletics. Does drug testing reduce use of illegal drugs? A
study compared two similar high schools in Oregon. Wahtonka High
School tested athletes at random and Warrenton High School did not.
In a confidential survey, 8 of 133 athletes at Wahtonka and 27 of
115 athletes at Warrenton said they were using drugs. Regard these
athletes as SRSs...
In 2002 the Supreme Court ruled that schools could require random drug tests of students participating...
In 2002 the Supreme Court ruled that schools could require
random drug tests of students participating in competitive
after-school activities such as athletics. Does drug testing reduce
use of illegal drugs? A study compared two similar high schools in
Oregon. Wahtonka High School tested athletes at random and
Warrenton High School did not. In a confidential survey, 5 of 140
athletes at Wahtonka and 25 of 102 athletes at Warrenton said they
were using drugs. Regard these athletes as SRSs...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Baked potatoes are normally wrapped in aluminum foil. How does this affect the cooling of the...
- What is the process to obtain biomass production
- A labor market has 50,000 people in the labor force. Each month, a fraction p of...
- A road with a radius of 72 m is banked so that a car can navigate...
- 1) If you had not dried the solid, would the calculated percent yield have been higher,...
- Two structures of alanine can be drawn that have a net charge of zero, but the...
- Co(II) was used as an internal standard to analyze a sample of Ti(IV) with atomic absorption...
ADVERTISEMENT