Chapter 9: Hypothesis Tests for a Single Population Proportion . Question 1 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 0.38. A random sample of 756 men over the age of 50 found that 203 have their prostate regularly examined. Do the sample data provide convincing evidence to support the claim? Test the relevant hypotheses using a 10% level of significance. Give answer to at least 4 decimal places. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: Selectan answer V '2 V I H1: Selectan answer V ? V Based on the hypotheses, find the following: Test Statistic = Critical -value= Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to z-scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left, to the right, between or left and right of the z-score(s), Shade: Left of a value V . Click and drag the arrows to adjust the values. The correct decision is to Select an answer V The correct summary would be: Select an answer V that the proportion of men over the age of 50 who regularly have their prostate examined is significantly less than 0. 38, 0 Question 2 B 0/1 pt '0 3 B 99 A well-known brokerage firm executive claimed that 80% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 200 people, 76% of them said they are confident of meeting their goals. Test the claim that the proportion of people who are confident is smaller than 80% at the 0.025 significance level. The null and alternative hypothesis would be: Ho:u=0.8 HoipS 0.8 Hours 08 H0412 0.8 Ho:p=0,8 Ho:u20.8 lep70,8 H11p>0.8 leu>0.8 H11p 0.6 H1 :/ 0.6 H1 :p / 0.6 The null and alternative hypothesis would be: Ho:u = 0.8 Ho:p2 0.8 Ho :u 0.8 H1 :p > 0.8 H1 :p / 0.8 H1:/