You wish to test the following claim (Ha) at a significance level of =0.01=0.01. Ho:p=0.4:=0.4 Ha:p>0.4:>0.4 You obtain a sample of size n=693=693 in which there are 300 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.) The p-value for this test is (assuming Ho is true) the probability of observing...

• at most 300 successful observations
• at least 300 successful observations

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 proportion is greater than 0.4.
• There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.4.
• The sample data support the claim that the population proportion is greater than 0.4.
• There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.4.