You wish to test the following claim (HaHa) at a significance level of =0.01=0.01. Ho:=78.5Ho:=78.5 Ha:78.5Ha:78.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=20n=20 with mean M=82.8M=82.8 and a standard deviation of SD=19.1SD=19.1. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = 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 not equal to 78.5.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 78.5.
• The sample data support the claim that the population mean is not equal to 78.5.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 78.5.