Conditions
1&2 sample z test
Miscellaneous
p-value
Valentine's Day
100
Should you check conditions for both samples when performing a 2-sample z-test?
Yes
100

A scientist calculates that a test at alpha=0.05 significance level has a probability of 0.23  of making a Type II error when a specific alternative is true. The probability of making a type I error is...

0.05

100
How many people should be surveyed to find out whether AP* Stats students do their homework? A previous record indicates 60% did their homework with a 5% margin of error and 95% confidence.
369 students
100
When do you reject the null hypothesis?
When the p-value is less than the alpha level
100

What did Mrs. Myren's mom give her for Valentine's Day during her senior year of high school?

TI 89 calculator

200
What is used to eliminate bias and allow the sample to be more representative of the population?
Randomization Assumption
200

A manufacturer of brick pavers maintains that 80% of the pavers produced by his company meet the standard 15-inch length. Of a random sample of 51 pavers 27 meet the standard. Does this show that the proportion of pavers that meet the standard is less than the manufacturer's claim?

Yes the proportion of pavers that meet the standard is less that 80%. p-value is 0.

200

With an alpha level of 5%, what is the probability of making a Type II error when the power of a test against an alternative is 97%?

3%

200
What is the p-value for a z-score of -2.57?
.0051
200

What TV show popularized the celebration of Galentine's Day on February 13th?

Parks and Recreation

300

Why do we check np>10 and n(1-p)>10?

make sure sampling distribution approx. normal

300

Double Jeopardy!!! Of 75 randomly selected men 30 had walked for exercise. Of 75 randomly selected women 36 had walked for exercise. Assume the samples are independent. Is there evidence to show a significant difference in the proportion of men to women who walk for exercise?

With a p-value of .324>alpha=0.05, we fail to reject Ho and conclude that there is not convincing evidence of a significant difference between men and women walking for exercise.

300
A no appointment haircutter advertises an average wait time of 15 minutes for customers. Customers have claimed that the actual wait time is 30 minutes. A random sample of 30 customers was selected and wait times recorded to determine the true wait time. The power of the test is 50%, how do you increase the power?
Increase sample size and alpha level.
300

What is the p-value for a z-score of 3.90?

~ 1

300

How many states have a city named "valentine"?

4

400
Men's blood pressure is tested every 6 months, twice. The sample was obtained randomly and it is assumed to have sufficent sample size. The researchers want to compare the proportion of people with high blood pressure from each test to see if there is any change over time. Is a two proportion z test apporpriate?
No independence is not met
400

A scientist calculates that a test at alpha=0.05 significance level has a probability of 0.23  of making a Type II error when a specific alternative is true. The power of the test against the alternative is...

0.77

400

How can you increase the power of a significance test?

increase n, increase alpha, or null and alternative parameter values are father apart from each other

400
Past records show that on average 65% of visitors will spend money in the gift shop at a local attraction on any given day. If there are 525 visitors on any given day what is the probability that at least 70% of these visitors purchase something in the gift shop?
the p-value is .0082
400

Approximately how many millions of roses are grown for Valentine's Day each year?

250 million

500
Are the conditions for a z-interval different than a 1-proportion z-test?
No
500

A random sample of adults is taken in a rural county. Of the 120 adults sampled, 16 live in poverty. The poverty rate for the entire state is 8.9%. Is there convincing statistical evidence to show that the poverty rate of this county is higher than that of the state?

z=1.706, Since p=0.044<alpha=0.05, reject Ho. There is convincing evidence that the poverty rate of this county is higher than that of the state.

500

Double Jeopardy!!! Which of the following 95% confidence intervals would lead us to reject H0: p=.3 in favor of Ha: p ≠ .3 at the 5% significance level?

a) (0.19, 0.27)

b) (0.24, 0.30)

c) (0.37, 0.31)

d) (0.29, 0.38)

a) (0.19, 0.27)

500
An aspirin claims that 4 out of 5 doctors recommend its product. A consumer advocacy group believes the proportion is lower. To test the claim, a random sample of 50 doctors is selected, and 35 recommend this manufacturer's product. What would be the p-value?
.039
500

What year were the first conversation hearts made?

1866

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