1. Test the claim that the proportion of men who own cats is larger than 80% at the .01 significance level. The null and alternative hypothesis would be:

H0:p=0.8 H1:p0.8

H0:=0.8 H1:>0.8

H0:=0.8 H1:<0.8

H0:p=0.8 H1:p<0.8

H0:=0.8 H1:0.8

H0:p=0.8 H1:p>0.8 The test is: two-tailed right-tailed left-tailed Based on a sample of 30 people, 88% owned cats The test statistic is: (to 4 decimals) The critical value is: (to 4 decimals) Based on this we:

• Reject the null hypothesis
• Fail to reject the null hypothesis

2. You wish to test the following claim (H1) at a significance level of =0.005 Ho:=76.9 H1:<76.9 You believe the population is normally distributed and you know the standard deviation is =19.5. You obtain a sample mean of M=69.1 for a sample of size n=42 What is the critical value for this test? (Report answer accurate to four decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to four decimal places.) test statistic = The test statistic is...

• in the critical region
• not in the critical region

This test statistic 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 claim that the population mean is less than 76.9.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 76.9.
• The sample data support the claim that the population mean is less than 76.9.
• There is not sufficient sample evidence to support the claim that the population mean is less than 76.9.