In South Korea, “Jeju†is a famous holiday destination withbreathtaking scenic views. A travel agent in Jeju wants to know thesatisfaction levels of tourists who visit the island. The travelagent surveyed 45 tourists at random and constructed a 95%confidence interval for the proportion of tourists who wereextremely satisfied with their Jeju visit to be (0.5289,0.8044).
Which of the following statements are true? Select all the thatapply.
Question 5 options:
| A 99% confidence interval calculated using the same data willinclude more plausible values for the actual populationproportion. |
| If the sample size had been double the sample size in thescenario above, then the 95% confidence interval would be half aswide as the one stated above. |
| If a different sample of the same size were to be selected, thenthere is a 95% chance that the new sample proportion will lieinside the confidence interval stated above. |
| If we took several samples of the same size as the scenariogiven above and constructed 95% confidence intervals for populationproportion, then it is reasonable to expect 95% of these confidenceintervals to contain the actual population proportion. |
| A 90% confidence interval for the population proportioncalculated using the same data will be wider than the intervalstated above. |
| If a different sample of the same size were to be selected and a95% confidence interval constructed, then there is a 95% chancethat the actual population proportion will lie inside the newconfidence interval. |
