Question

1. A research institute conducted survey of 3,765 randomly selected students of a primary school and found that 60% of them feel the education level in that state is run by compliant individuals. Find the best point estimate of the proportion of all residents of the state who believe education is run by compliant individuals.
   1. In the prompt above what population parameter are you being asked about?

1. Proportion
2. Mean
3. Standard Deviation/Variance
4. None of the above

2. What is the best point estimate?

c. What is the critical value (zα2) or (tα2) that corresponds to a confidence level of 99%?

d. Find the margin of error E, show the formula, fill in the pieces.

e. Now construct the 99% confidence interval.

2. United States Census Bureau reported that 51.9% of residents of Idaho have a bachelor’s degree or higher. If a poll of 314 randomly selected citizens showed a result of 45% of them have obtained a bachelor’s degree or higher.
   1. Identify the claim and express the original claim in symbolic form, and construct the null and alternative hypotheses.

Claim:

H0:

HA:

b) Given the following 95% confidence interval (0.394, 0.5041), how would you interpret this in words.

NOTE: Please make sure to include details of work solution with all formulas (test statistic), Confidence Interval, etc.

Answer 1