1. Test the claim that the proportion of people who own cats issignificantly different than 30% at the 0.2 significancelevel.
The null and alternative hypothesis would be:
a) H0:??0.3
Ha:?>0.3
b) H0:p?0.3
Ha:p<0.3
c) H0:??0.3
Ha:?<0.3
d) H0:p?0.3
Ha:p>0.3
e) H0:?=0.3
Ha:??0.3
f) H0:p=0.3
Ha:p?0.3
The test is:
-left-tailed
-two-tailed
-right-tailed
Based on a sample of 400 people, 31% owned cats
The p-value is: ____? (to 2 decimals)
Based on this we:
- Reject the null hypothesis
- Fail to reject the null hypothesis
2. You wish to test the following claim (HaHa) at a significancelevel of ?=0.01?=0.01.
Ho:?=89.7
Ha:??89.7
You believe the population is normally distributed, but you do notknow the standard deviation. You obtain a sample of size n=12 withmean M=93.7 and a standard deviation of SD=8.6
What is the p-value for this sample? (Report answer accurate tofour decimal places.)
p-value = ______?
The p-value is...
- less than (or equal to) ??
- greater than ??
This p-value leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
As such, the final conclusion is that...
- There is sufficient evidence to warrant rejection of the claimthat the population mean is not equal to 89.7.
- There is not sufficient evidence to warrant rejection of theclaim that the population mean is not equal to 89.7.
- The sample data support the claim that the population mean isnot equal to 89.7.
- There is not sufficient sample evidence to support the claimthat the population mean is not equal to 89.7.
