Out of a 54 person sample from our fall Math-150 classes, 12.4\% of the students are left-handed. Use a TI 84 graphing calculator to construct an 80\% confidence interval for the population proportion.

UkusakazaL

UkusakazaL

Answered question

2021-08-06

Out of a 54 person sample from our fall Math-150 classes, 12.4% of the students are left-handed. Using a TI 84 graphing calculator:
Construct an 80% confidence interval for the population proportion, p. Round to tenths of a percent and write a sentence answer.
The U.S. has 13.1% of it’s population that are left-handed. Did this fall in your confidence interval from part a?
Be sure to show all calculator commans used.

Answer & Explanation

Elleanor Mckenzie

Elleanor Mckenzie

Beginner2021-08-10Added 2 answers

Step 1
Given information:
n=54
p^=0.124
x=54×0.124
Confidence level =80%
Step 2
The step by step procedure to determine confidence interval for proportion:
1) Press STAT and scroll right to the TESTS menu.
2) Scroll down to A:1-PropZInt and press ENTER.
3) Enter the values, x=6.696, n=54 and C-Level =0.80.
4) Select Calculate and press ENTER. NKS Step 3
The obtained 80% confidence interval for the population proportion, p is (0.0665, 0.1815).
Yes the proportion of left handed in U.S i.e 13.1% falls in our confidence interval (0.0665, 0.1815).

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