You wish to test the following at a significance level of =0.10=0.10. H0:p=0.51H0:p=0.51 H1:p<0.51H1:p<0.51 You obtain a sample of size n=585n=585 in which there are 286 successful observations. For this test, we use the normal distribution as an approximation for the binomial distribution. For this sample...

1. The test statistic (zz) for the data = (Please show your answer to three decimal places.)
2. The p-value for the sample = (Please show your answer to four decimal places.)
3. The p-value is...
4. (Recall that when p(-value) is low, the null must go; when p(-value) is high, the null must fly) Base on this, we should ....
5. As such, the final conclusion is that...
   • The sample data suggest that the population proportion is not significantly less than 0.51 at the significant level of = 0.10
   • The sample data suggest that the population proportion is significantly less than 0.51 at the significant level of = 0.10.

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

• less than (or equal to)
• greater than