Show all steps/ calculator commands using a TI 84 graphing calculator. In a random sample of 118 engineers, 15.2% of them were women. 1. Construct an 80% confidence interval for the population proportion, p. Round to tenths of a percent and write a sentence answer. Give calculator command used. 2. Find the margin of error, round to tenths of a percent
Show all steps/ calculator commands using a TI 84 graphing calculator.
In a random sample of 118 engineers, 15.2% of them were women.
1. Construct an 80% confidence interval for the population proportion, p. Round to tenths of a percent and write a sentence answer. Give calculator command used.
2. Find the margin of error, round to tenths of a percent
Obtain the 80% confidence interval for the population proportion p.
The 80% confidence interval for the population proportion p is obtained below as follows:
Use TI-84 Calculator to obtain the confidence interval
Follows the below instructions to obtain the confidence interval using the calculator:
- Press STAT>EDIT
- Enter the Sample data in L1.
- Choose TESTS> 1-PropZInt.
- Enter the value of X as 18
- Enter the value of n as 118.
- Enter the confidence level as 0.80.
- Click Calculate
From the TI-84 calculator, the 80% confidence interval for the population lies between (0.1101, 0.1950)
Thus, the 80% confidence interval for the population lies between 11.0% and 19.5%.
Interpret:
It is 80% confident that the true proportion lies within the confidence interval 0.1101 to 0.1950
Step by step
Solved in 2 steps with 2 images
