You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly less than 0.21. You use a significance level of:
α = 0.02.
H₀:p = 0.21
H₁:p < 0.21
You obtain a sample of size n=325 in which there are 57 successes.
a) What is the test statistic for this sample?
b) What is the p-value for this sample?
c) The p-value is:
- Less than (or equal to) α
- Greater than α
d) This test statistic leads to a decision to:
- Reject the null
- Accept the null
- Fail to reject the null
e) As such, the final conclusion is that:
- There is sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is less than 0.21.
- There is not sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is less than 0.21.
- The sample data support the claim that the proportion of women over 40 who regularly have mammograms is less than 0.21.
- There is not sufficient sample evidence to support the claim that the proportion of women over 40 who regularly have mammograms is less than 0.21.