uppose media reports that no more than 34% of doctors recommend s incorrect, so you sample 120 random doctors and find that 51 of t tate the null and alternative hypotheses of this test. Null Hypothesis (Ho): Alternative Hypothesis (HA): p> PSV .34 ✔ 0.34 o test our hypothesis we will assume that m-

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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
Transcribed Image Text: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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