Please give a detailed explanation, not just the answer. Thanks in advance! You are conducting a study to see if the proportion of men over the age of 50 who regularly have their prostate examined is...

Please give a detailed explanation, not just the answer. Thanks in advance!

You are conducting a study to see if the proportion of men over the age of 50 who regularly have their prostate examined is significantly less than 0.31. A random sample of 709 men over the age of 50 found that 207 have their prostate regularly examined. Do the sample data provide convincing evidence to support the claim? Test the relevant hypotheses using a 1% level of significance. Give answer to at least 4 decimal places.

a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)


H₀: Select an answer μ σ σ² s² x̄ p p̂ s   ? < ≠ ≤ > ≥ =


H₁: Select an answer σ μ s² σ² p̂ x̄ p s   ? > ≤ ≠ <>

b. Based on the hypotheses, find the following:

Test Statistic =


Critical-value=

c. Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions.

d. The correct summary would be: Select an answer There is not enough evidence to support the claim There is not enough evidence to reject the claim There is enough evidence to support the claim There is enough evidence to reject the claim   that the proportion of men over the age of 50 who regularly have their prostate examined is significantly less than 0.31.