Name that test
A school claims that 15% of its students are out of uniform each day. The principal believes that this number is over-exaggerated and that almost all of the students wear them. The principal wants to test it at α =0.05. The principal takes a random sample of 80 students and finds that 12 are out of uniform.
What is a 1-proportion z-test?
(observed-expected)2/expected
What is the expected value?
A value that is used to estimate a population parameter
What is a point estimate?
To calculate a one-sample t-test for means you use___.
What is stat->tests-> 2?
Name the conditions that need to be checked for a one-sample z-test and z-interval.
What is.. 1. random 2. 10% = n<0.10N 3. large counts= np ≥ 10 and n(1-p) ≥ 10
Your parents claim that you only study for 55 minutes a night. You want to prove to them that you study for longer. They decide to record your study time for 30 nights. From this they find you average 35 minutes a night and have a standard deviation of 10.
What is a 1-sample t-test for a mean?
p̂ ±z*√p̂(1-p̂)/n
What is a confidence interval for proportions?
Probability of obtaining a test statistic as extreme or more extreme than the observed test statistic when null hypothesis is assumed to be true
What is a p-value?
To calculate a one-samle t-interval for means you use ____.
What is stat-> tests-> 8?
x2=∑(observed-expected)/expected
What is a chi-square test statistic?
140 out of 170 men report that they eat out at least 3 times a week and 170 out of 340 women report they eat out at least 3 times a week. A researcher wants to estimate the true percentage difference between the men and women.
What is a 2-sample confidence interval for proportions?
df= # of categories - 1
What is degrees of freedom for x2 GOF test?
1. a number that describes the population 2. a number that describes the sample
1. What is a parameter? 2. What is a statistic?
To calculate a one-sample z-test for proportions use ____.
What is stat-> tests-> 5?
The probability that a test will correctly reject the null hypothesis, given that the alternative hypothesis is true.
What is the power of a test?
You want to know if there is an association between the age of the person and the type of phone they have. This is on the basis of people being of older age are more likely to only have a landline, while those who are younger are more likely to have a cellphone. Use a level of 5% significance.
What is a Chi-Square test for Independence?
x̄ ± t*(s/√ n)
What is a t-confidence interval?
This states when a sample size is sufficiently large, therefore the sampling distribution will be approximately normal. n ≥ 30.
What is the central limit theorem (CLT)?
To calculate the p-value in x2 GOF test use ____.
What is stat-> tests-> D?
Occurs when the alternative hypothesis is true and the null hypothesis is not rejected (false negative).
What is a type II error?
Researchers want to know if Banana Boat is a more effective sunscreen brand than Sun Bum. They randomly chose 30 people to come and test each brand. The researchers randomly select which arm will have Banana Boat and which arm will have Sun Bum. They compare the results at a 5% significance level.
What is a Matched Pairs T-Test for a difference of means?
z=p̂ - p0/ √(p0(1-p0)/n)
What is one one-sample z-test for a proportion?
When estimating a population parameter, the statistic is unbiased if, the center of the sampling distribution is equal to the population parameter.
What is an unbiased estimator?
To calculate a p-value for x2 test for homogeneity or independence use ____.
What is stat-> tests-> C?
Define the factors that affect the width of a confidence interval.
What is increasing the sample size decreases the width and increases in width as the confidence level increases?