1)You wish to test the following claim a significance level of =0.02=0.02.

Ho:p=0.88Ho:p=0.88 Ha:p<0.88Ha:p<0.88

You obtain a sample of size n=588n=588 in which there are 507 successful observations.

1. What is the test statistic for this sample? test statistic = Round to 3 decimal places.
2. What is the p-value for this sample? P-value = Use Technology Round to 4 decimal places.
3. The p-value is...
4. This test statistic leads to a decision to...
5. As such, the final conclusion is that...
   • There is sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.88.
   • There is not sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.88.
   • The sample data support the claim that the population proportion is less than 0.88.
   • There is not sufficient sample evidence to support the claim that the population proportion is less than 0.88.

• reject the null
• accept the null
• fail to reject the null

• less than (or equal to)
• greater than

2)You wish to test the following claim (HaHa) at a significance level of=0.002=0.002. Ho:=89.3Ho:=89.3 Ha:<89.3Ha:<89.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of sizen=112n=112with meanx=84.8x=84.8and a standard deviation ofs=20.7s=20.7. What is the test statistic for this sample? test statistic = (Report answer accurate to 3 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.) The p-value is...

• less than (or equal to)
• greater than

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 89.3.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 89.3.
• The sample data support the claim that the population mean is less than 89.3.
• There is not sufficient sample evidence to support the claim that the population mean is less than 89.3.

3)Out of 600 people sampled, 522 preferred Candidate A. Based on this, you will estimate what proportion of the voting population (pp) prefers Candidate A. Use technology to find a 99% confidence level, and give your answers as decimals, to four places.