A Terror of Errors
See Ya Later, Calculator
Terms and Conditions
Conclusion Confusion
Fun Facts with Mr. Song
100
This type of error occurs when you reject the null hypothesis incorrectly
What is a TYPE I ERROR?
100
After pressing Stat and moving over to Tests, clicking this number button on the calculator allows us to take a significance test for proportions
What is NUMBER 5?
100
A random sample of 20 observations is taken, but the distribution is strongly skewed with outliers. Are the conditions for a t-test met?
No, the normal condition is not met (n is under 30 and the data is not normal)
100
A significance test is conducted that results in a p-value of 0.18. Using α=0.05, do we reject or fail to reject the null hypothesis?
What is FAIL TO REJECT?
100
Mr. Song saw the Matilda musical live on Broadway (it was the first Broadway show he ever saw, and he ended up buying the soundtrack on vinyl). He liked Matilda, but hated this tyrannical headmistress who punishes her students in extremely over-the-top ways
Who is MISS TRUNCHBULL
200
Maddy came up with a null hypothesis and an alternative hypothesis, then failed to reject the null hypothesis in her significance test. Unfortunately, the null hypothesis was wrong. Maddy made this type of error
What is a TYPE II ERROR?
200
When
p_0=0.25, x=5, n=22
this p-value is associated with the symbol <
What is
p=0.403
200
A researcher surveys the first 50 people to leave a concert about whether they enjoyed it. Only 15 people from the sample said they enjoyed the concert. Does this satisfy our conditions for a significance test?
No, this does not satisfy the random condition (biased survey method)
200
A study tests two hypotheses using a significance test. After comparing p to α, the researchers rejected the null hypothesis. Do we have convincing evidence for the alternative hypothesis?
Yes, when we reject the null, we do have convincing evidence for the alternative hypothesis
200
As a child, Mr. Song enjoyed watching Phineas and Ferb, a tv show featuring two kids and their exotic pet - this semi-aquatic egg-laying mammalian species
What is a PLATYPUS?
300
The probability of making a type I error is equal to this, represented by the greek letter alpha
What is SIGNIFICANCE LEVEL?
300
Zac needs to graph some data to check if the normal condition is met. After entering in the data in L1, turning on Statplot, and hitting graph, he still can't see the data properly. He presses Zoom, then this number, to view the full histogram.
What is NUMBER 9?
300
A sample of 80 voters is randomly selected. Of the sample, 52 support a new policy. Does this satisfy our conditions for a significance test on proportions?
Yes, random condition is stated and LCC is met (52 > 10 and 28 > 10)
300
A researcher claims a new drug reduces recovery time. A test gives p-value = 0.07 at α=0.05. Do we reject or fail to reject the null? Is there convincing evidence that the drug reduces recovery time?
We fail to reject the null. There is not convincing evidence that the drug reduces recovery time
300
Half of Mr. Song's family is from Hawaii - whenever he visits, he picks up some musubi from the local convenience stores, a snack that features this well-known brand of tinned meat
What is SPAM?
400
These are the two ways that we can reduce the probability of making a type II error
What are INCREASING SAMPLE SIZE and INCREASING SIGNIFICANCE LEVEL?
400
Zoe wants to know whether she spends at least 2 hours on average in each marching band practice. In her random sample of 20 practices, her sample mean was 2.36 with sample standard deviation 0.9 hours.
This is the p-value associated with this significance test
WHAT IS
p=0.045
400
If Anika collected the number of pages in a random sample of 8 of her college's assigned readings, and got the following data: [11, 13, 15, 15, 17.5, 19, 19.5, 47] Would this fulfill the normal condition and why?
No, the sample size is small (8 < 30) and there are outliers (47).
400
A study tests whether a new teaching method improves average test scores. The null hypothesis is that the mean test score stayed the same, and the alternative hypothesis is that the mean test score increased after switching to the new method. The p-value is 0.03 with α=0.05, so the researchers reject the null hypothesis. Based on this, write a final conclusion sentence.
There is convincing evidence that the true mean test score increased after switching to the new method
400
Two summers ago, Mr. Song visited Cuba with his family. While there, he passed through this capital city known for cigars, rum, and vintage cars
What is HAVANA?
500
Greta wants to check if her average screen time is over 5.5 hours per day. In this scenario, Greta making a Type I error would look like this:
What is CONCLUDING THAT HER SCREEN TIME IS OVER 5.5 HOURS WHEN IT'S NOT?
500
Peter measures his bone density in several areas around his leg. He measures -1.24, -1.66, -1.93, and -2.27. He wonders whether his average bone density score is under -1.5.
This is the standardized sample statistic associated with this test.
What is
t=-1.263
500
A random sample of 120 individuals finds that 111 have a certain characteristic. Does this satisfy our conditions for a significance test on proportions?
No, LCC is not met (successes are more than 10, but failures = 9 which is less than 10)
500
A test is run at α=0.10, and the p-value is 0.08. Would our decision of whether to accept or reject the null change if we used α=0.05? If so, how?
Yes, we reject the null at α=0.10 and fail to reject the null at α=0.05
500
Mr. Song loves board and card games, including this 4-player card game where you and a partner bid on a trump suit, collect tricks, and try to aim for a Grand Slam!
What is BRIDGE?