It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 120 students of its 12124 students, 15 were left-handed. Does this provide enough evidence to show that students at this college have a higher percentage of left-handers than the general American population? Use a 10% level of significance.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 6E
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It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 120 students of its 12124 students, 15 were left-handed. Does this provide enough evidence to show that students at this college have a higher percentage of left-handers than the general American population? Use a 10% level of significance.

T: TEST STATISTIC
The symbol and value of the random variable on this problem are as follows:
Leave this answer as a fraction.
The formula set up of the test statistic is as follows.:
(Leave any values that were given as fractions as fractions)
z =
P-P
V
Z =
p(1-P)
n
Final answer for the test statistic from technology.
Round to 2 decimal places:
O: OBTAIN THE P-VALUE
P-value =
√√
Report to 4 decimal places.
It is possible when rounded that a p-value is 0.0000
M: MAKE A DECISION
7-01-√
(1
Since the p-value ? ✓
we Select an answer ✓
S: STATE A CONCLUSION
There Select an answer significant evidence to conclude
Transcribed Image Text:T: TEST STATISTIC The symbol and value of the random variable on this problem are as follows: Leave this answer as a fraction. The formula set up of the test statistic is as follows.: (Leave any values that were given as fractions as fractions) z = P-P V Z = p(1-P) n Final answer for the test statistic from technology. Round to 2 decimal places: O: OBTAIN THE P-VALUE P-value = √√ Report to 4 decimal places. It is possible when rounded that a p-value is 0.0000 M: MAKE A DECISION 7-01-√ (1 Since the p-value ? ✓ we Select an answer ✓ S: STATE A CONCLUSION There Select an answer significant evidence to conclude
H: HYPOTHESES
Fill in the correct null and alternative hypotheses:
Ho: ? ? ✓
HA: ? ✓
A: ASSUMPTIONS
? ✓
Since Select an answer information was collected from each object, what conditions do we need to
check?
Check all that apply.
On > 30 or normal population.
n(1-p) ≥ 10
Oo is unknown.
Oo is known.
Onp > 10
ON > 20n
Check those assumptions:
1. np =
2. n(1 p) =
3. N =
which is ? ✓
which is ? ✓
which is ? ✓
If no N is given in the problem, use 1000000
Transcribed Image Text:H: HYPOTHESES Fill in the correct null and alternative hypotheses: Ho: ? ? ✓ HA: ? ✓ A: ASSUMPTIONS ? ✓ Since Select an answer information was collected from each object, what conditions do we need to check? Check all that apply. On > 30 or normal population. n(1-p) ≥ 10 Oo is unknown. Oo is known. Onp > 10 ON > 20n Check those assumptions: 1. np = 2. n(1 p) = 3. N = which is ? ✓ which is ? ✓ which is ? ✓ If no N is given in the problem, use 1000000
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