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MATLAB: An Introduction with Applications

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Suppose media reports that no more than 34% of doctors recommend wearing face masks. You suspect this
is incorrect, so you sample 120 random doctors and find that 51 of them recommend wearing face masks.
State the null and alternative hypotheses of this test.
Null Hypothesis (Ho):
Alternative Hypothesis (HA): p
р
To test our hypothesis, we will assume that p =
.34✓
.34✓✔ O
Is the success-failure condition of the Central Limit Theorem satisfied?
O No. Either np < 10 or n(1 − p) < 10.
Yes. Both np and n(1 − p) are ≥ 10.
The p-value for this hypothesis test is
Report answer accurate to four decimal places.
Then, according to the Central Limit Theorem, the distribution of sample proportions is approximately
normal
with mean
and standard deviation

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