An opinion poll asked a random sample of adults whether they believe flu shots are ineffective in the United States. A commentat
or believes less than 35% of all adults believe they are ineffective. Which null and alternative hypotheses should be used to test this claim? H0: p ≠ 0.35, Ha: p 0.35
1 answer:
Complete Question
The complete question is shown on the first uploaded image
Answer:
The second option is the correct option
Step-by-step explanation:
From the question we are told that
The sample proportion is
The Null Hypothesis is
The reason for this is that the this original claim when represented mathematically does not contain an equality sign () so the null hypothesis is the compliment of it ( i.e
)
The Alternative hypothesis is
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Answer:
Question 1: The hours that will pass between two consecutive times, when the water is at its maximum height is π hours
Question 2: Sin of the angle is -0.8
Step-by-step explanation:
Question 1: Here we have h(t) = 4·cos(t) + 10
The maximum water level can be found by differentiating h(t) and equating the result to zero as follows;
∴ sin(t) = 0
t = 0, π, 2π
Therefore, the hours that will pass between two consecutive times, when the water is at its maximum height = π hours.
Question 2:
B = (3, -4)
Equation of circle = x² + y² = 25
Here we have
Distance moved along x coordinate = 3
Distance moved along y coordinate = -4
Therefore, we have;
Sinθ = sin(-53.13) = -0.799≈ -0.8.