Calculate phat/standard error
What does x represent in a p hat calculation
What is the number of successes in a sample?
Z Score for a 90% C.I.
What is 1.645?
Compare p-values to THIS level of significance:
A) .10
B) .05
C) .01
D) .001
What is B) .05?
P-value > .05
Fail to reject the H0 (null hypothesis)
When calculating a confidence interval, we use a sample to estimate ________
What is a population?
THIS represents the number of failures in a sample.
What is q-hat?
Z Score for a 95% C.I.
What is 1.96?
A not equal to sign (≠) results in THIS many shaded regions under the curve.
What is two? (a two-tailed test)
P-value < .05
Reject the H0 (null hypothesis)
IF P IS LOW, REJECT THE ____
The format for interpreting a confidence interval is:
A) The interval from ___ to ___ captures the true mean in context.
B) C% of samples of the same size taken from the same population will capture the parameter in question
C) There is convincing evidence that C% gives the interval (___, ___) capturing the parameter in question.
D) I am ___% confident that the true population proportion of (context) is between ____ and ____.
What is D) I am ___% confident that the true population proportion of (context) is between ____ and ____?
In a survey of 600 kids, 400 said they hate school. Find p and q hats.
p=.67 q=.33
Z Score for a 99% C.I.
What is 2.576?
This variable is used to describe the percentage in a statistic claim
What is Po
THIS is the H₀ in the following problem:
A commercial for a stain remover claims to remove stains 85% of the time. You decide to try out this company's stain remover. You try it on 100 stains and 89 of them were removed. Do you have evidence that the stain remover works more than 85% of the time?
What is H₀ (p₀) = .85? Or, the stain remover works 85% of the time.
The format for interpreting a p-value does NOT include the following:
A) "Using a 1-proporition Z-test..."
B) Context about the problem
C) A range of numbers the p-value might fit into
D) Mention of the null and alternative hypothesis
What is C) A range of numbers the p-value might fit into?
The formula for calculating standard error is:
Standard Error = √p̂(1-p̂) / n
The formula for calculating a Z score:
z = p̂ - p / √ ((p * q)/n)
Calculate a p-value with:
z=1.996
(Alternative hypothesis is > greater than null hypothesis)
What is .02297?
THIS is the H1 (alternative hypothesis) in the following problem:
The American Handedness Association claims that 90% of Americans are right handed. A local survey reported that 198 out of 200 adults were right handed. Is there evidence that the true proportion of right handers to left handers is greater than 90%?
What is H1>.90? Or, greater than 90% of Americans are right handed.
A random sample of 85 sixth-graders in a large city take a course designed to improve scores on a reading comprehension test. Based on this sample, a 90% confidence interval for the mean improvement μ in test scores for all sixth-graders in the city taking this course is found to be (12.6, 14.8). Which one of the following is a correct interpretation of this confidence interval?
A) Ninety percent of the 85 sixth-graders in the sample improved their reading comprehension scores by 12.6 to 14.8 points.
B) The probability is 0.90 that the true mean improvement in reading comprehension is between 12.6 and 14.8.
C) We are 90% confident that the true improvement in reading comprehension scores is captured by the interval 12.6 to 14.8.
What is C) We are 90% confident that the true improvement in reading comprehension scores is captured by the interval 12.6 to 14.8?
Standard error for the sample proportion below:
p: 0.62
q: 0.38
n: 36
What is 0.081?
Calculate the Z score when:
n = 100
p^ = .5
p = .45
What is z = 1.006?
Conceptually, p-value is:
The probability of obtaining the results at least as extreme as what has been observed in the test.
Interpret the p-value in context for the following:
Researchers asked, "Is the percentage of students who use TikTok less than the national claim of 95%?"
H0 = .95
H1 < .95
The P-value = .943
We fail to reject the null hypothesis because the p-value is > .05. Therefore, there is no evidence that the percentage of students who use TikTok is less than 95%.
Interpret the p-value in context:
The drying supervisor uses the new method on a random sample of 200 boards. She conducts a hypothesis test on her sample data and gets a p-value of .027. Based on the p-value , was there convincing evidence that the new method is better? Use �α = 0.05.
Since our p-value of 0.027 is < .05 , we reject the null hypothesis. We have convincing evidence that the new method is better.