State
If you aren'y given a significant level, what is the most common one?
0.05 or 5%
What is the two conditions that must be met for proportion problems?
1. Must be from a random sample
2. Large Counts must pass
Where do we get the mean?
p = Ho
From the null hypothesis
What are the 2 conclusions we can make depending on the p-value and significant level?
reject Ho, C.E for Ha
fail to reject Ho, NO C.E for Ha
What's everyone favorite number?
67
A report claims that 30% of adults online shop daily. A researcher believes this figure is actually lower in rural communities and surveys 200 rural residents. What is the Ho and Ha?
Ho: p = 0.30
Ha: p <0.30
What are the two large counts the must pass?
np>10 AND n(1-p)>10
What is the standard deviation formula?
Ms.Gray will write it on the board
A manufacturer of "Unbreakable Glass" claims that 90% of their windows will survive a strike from a baseball. A consumer protection group wants to see if this claim is inaccurate. They test a random sample of 100 windows and find that 84 survived.
Suppose the consumer found the p-value to be 4.56%. What conclusion can he make for a significant level of 0.05?
4.56%<5%
p-value small, reject Ho, C.E for Ha
Who says this " It's not clocking to you that I'm standing on business, is it?"
Justin Bieber
A student suspects that a "lucky" coin is actually biased and lands on heads more often than not. They flip the coin 100 times to test it. The student notice that it lands on heads 64 out of the 100 times. What is the parameter?
p = true proportion of flips that land on heads
Where does the "p" come from?
We get the "p" from the Ho (null hypothesis)
** NEED STAPPLET**
A company claims that 80% of its customers are satisfied. A consumer group suspects the actual satisfaction rate is lower. They survey a random sample of 100 customers and find that 72 are satisfied.
Given that the
- mean = 0.80
- S.D = 0.04
- p-hat = 0.72
Find the p-value
Ha: p <0.80
Thus p-value is 0.0228 or 2.28%
A manufacturer of "Unbreakable Glass" claims that 90% of their windows will survive a strike from a baseball. A consumer protection group wants to see if this claim is inaccurate. They test a random sample of 100 windows and find that 84 survived.
Suppose the consumer found the p-value to be 4.56%. What conclusion can he make for a significant level of 0.02?
.0456>0.02
p-value big, fail to reject Ho, C.E for Ha
What does a person say when they plug their nose and wave their hand to the side infornt of their face?
SCUBA
Last year, 65% of students said they liked the school lunch. The cafeteria manager introduces "Taco Tuesday" and wants to see if student satisfaction has increased. What is the Ho and Ha?
Ho: p = 0.65
Ha: p > 0.65
A rare blood type is said to occur in only 2% of the population. However, Kaiser is claiming that its greater than that. A doctor takes a random sample of 150 people to see if the proportion of this blood type is higher in their specific city. Suppose the hypothesis is
Ho: p = 0.02
Ha: p >0.02
Does the study pass large counts?
No, the successes is np = 150(0.02) = 3 <10
** NEED STAPPLET**
A seedsman claims that 70% of his seeds will germinate. A gardener thinks the germination rate is different than what is claimed. She plants a random sample of 50 seeds and 40 of them germinate.
Given that
mean: 0.70
S.D: 0.0648
p-hat: 0.80
Find the p-value
- x2 : 12.28%
- Cat : 12.28%
city official claims that 15% of the city's power comes from solar energy. An environmental group believes the true proportion is higher. They conduct a test with a significance level of 0.01
Given
Ho: p = 0.15
Ha: p>0.15
p-value: 0.0032
What is the correct conclusion we can make using context.
Since 0.0032 < 0.01, we reject Ho, thus there is convincing evidence that the true proportion of the city's power coming from solar energy is greater than 15%.
Fill in the blank:
I am _______ _______ but I would never order a whole pizza for myself.
Tonka Jahari
According to a genetic theory, a certain plant cross should produce purple flowers 75% of the time. A botanist grows 500 plants to see if the data provides evidence that the theory is incorrect. What is the Ho and Ha?
Ho: p = 0.75
Ha: p /= 0.75
A high school principal believes that exactly 25% of students participate in sports. The students thinks the principle is over exaggerating.He takes a random sample of 60 students from the 2,000 students at the school and finds that 12 of them play a sport. Given the hypothesis
Ho: p = 0.25
Ha: p< 0.25
Does it pass the large counts condition?
yes! 15>10 and 45 >10
** NEED STAPPLET**
A national study states that 40% of teenagers spend more than 3 hours a day on social media. A high school counselor believes that students at their school spend significantly more time than the national average and surveys a random sample of 80 students.
Given that the hypothesis is
Ho: p = 0.40
Ha: p>0.40
Find the mean, standard deviation, p hat, and p-value.
p-hat = 0.45
mean = 0.40
S.D = 0.0548
Plug into stapplet to get
p-value: 18.08% or .1801
A local health department claims that 12% of residents in a certain county are smokers. A researcher believes that due to recent health campaigns, the proportion has decreased. They conduct a study and find a p-value of 0.035 for their test.
Given
Ho: p = 0.12
Ha: p <0.12
Significant level: 0.01
What is the correct conclusion to make with context.
Since 0.035 >0.01, we fail to reject that true proportion of smokers in a certain county is 12% and there no convincing evidence for Ha.
Fill in the blank
math________
statistic _______
p-value________
proportion________
** all are the same word**
hallelujah