Case Scenario:
I hope to find that the mean annual income of people in their twenties who graduated college is greater than $60,000.
The null hypothesis is:
The alternative hypothesis is:
I hope to find evidence to support my claim that the mean weight of elderly patients in a nursing home is at most 195 pounds.
The null hypothesis is:
The alternative hypothesis is:
I claim that rubbing a fair coin three times in one direction will increase the likelihood of flipping a heads up.
Ho: p of flipping H = 0.5
Ha: p of flipping H> 0.5
Type I error for this claim is:
Type II error for this claim is:
If the probability that you will correctly reject a false null hypothesis is 0.80 at 0.05 significance level. Therefore, α is__ and β is__.
a. 0.05, 0.80
b. 0.05, 0.20
c. 0.95, 0.20
d. 0.95, 0.80
The population has a mean of 678 and the population standard deviation is known to be 58.3. Use a 0.05 level of significance to test the claim that the sample scores listed below came from the population. Identify hypotheses, test statistic, P-value or critical value, conclusion about the null, and final conclusion that addresses the original claim.
751664789818779698836753834693802
I am looking to move to either Mississippi or Arkansas, depending on the cost of housing. Below are the costs (in thousands, hypothetically) of 12 houses in each location based upon a simple random selection:
Mississippi:155142149130151163151142156133138161
Arkansas:133140142131134129128140140140137143
Use a 0.05 significance level to test the claim that the mean cost of houses in Mississippi is greater than the mean cost in Arkansas. Be sure to give the hypotheses, the test statistic with a p-value, and a conclusion.
I tested 300 people with a new, inexpensive, non-invasive test to determine if they had been exposed to zika. Results for 27 were wrong (either false positives or false negatives). Use a 0.05 level of significance to test the claim the <10% of test results are incorrect when using this type of test. Be sure to include hypotheses, calculated test statistic, p value, and decision.
I asked 10 teachers in my middle school how many times in 2015 they used tobacco and how many times they used alcohol to relax after a difficult day. Use 0.05 as the level of significance to test the claim that teachers smoke more times than they use alcohol as a way to relax.
Be sure to include hypotheses, calculated test statistic, p value, and decision when analyzing the following data:
|
Tobacco
|
176
|
51
|
0
|
299
|
74
|
2
|
23
|
205
|
6
|
155
|
|
Alcohol
|
88
|
33
|
113
|
51
|
0
|
3
|
46
|
73
|