Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. A recent sample of 1000 adults showed 410 indicating that their financial security was more than fair. Just a year before, a sample of 900 adults showed 315
indicating that their financial security was more than fair.
a. State the hypotheses that can be used to test for a significant difference between the
population proportions for the two years.
b. Conduct the hypothesis test and compute the p-value. At a .05 level of significance,
what is your conclusion?
c. What is the 95% confidence interval estimate of the difference between the two
population proportions? What is your conclusion?
A coin is tossed and a die is rolled, what is the probability of getting head in tossing a coin and getting an odd number when casting a fair die?
3. A vase contains 8 pink, 9 purple, and 11 yellow tulips. You randomly choose a flower from the vase to take home. Your best friend randomly chooses another flower from the vase to take home. What is the probability that you choose pink tulips and your best friend chooses purple tulips?
4. Ace is planning to enroll in short courses in TESDA. He plans to take Bread and Pastry Production, and Food and Beverage Service. The probability of finishing Bread and Pastry Production is 48%, and 53% for Food and Beverage Service. If the probability of finishing both courses is 40%, what is the probability of passing at least one course?
5. According to DOST-FNRI, 24.7% of the population of Filipino elderly, 60 years old and above, are obese. If we select three elderly at random, what is the probability that all selected will be obese?