Question

# You wish to test the following claim a significance level of α=0.01. Ho:p=0.16 Ha:p<0.16 You obtain...

You wish to test the following claim a significance level of α=0.01.

Ho:p=0.16
Ha:p<0.16

You obtain a sample of size n=649 in which there are 83 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...
• less than (or equal to) αα
• greater than αα

4. This test statistic leads to a decision to...
• reject the null
• accept the null
• fail to reject the null

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 0.16.
• There is not sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.16.
• The sample data support the claim that the population proportion is less than 0.16.
• There is not sufficient sample evidence to support the claim that the population proportion is less than 0.16.