Austin spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The pla
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Answer: 650
Step-by-step explanation:
When prior estimate of population proportion is known , then the formula to find the required sample size is given by :-
, where p= population proportion
E= margin of error
z* = Critical value.
Let p be the proportion of adults able to identify a Toyota Scion by brand and model name.
As per given , we have
p = 12%= 0.12
E= 2.5%=0.025
Critical value for 95% confidence interval : z* = 1.960 [By z-table ]
Then, the required sample size =
Thus , the required sample size = 650
Answer:
The value of x = 7
Step-by-step explanation:
Given the right triangle
- Right angle = 90°
- α = (4x+7)°
- β = (8x-1)°
- We know that the sum of angles of a triangle is 180°.
so
Right angle + α + β = 180°
90° + 4x+7 + 8x-1 = 180
Group like terms
Add similar elements: :4x+8x=12x
Divide both sides by 12
Therefore, the value of x = 7
According to the p-value, the correct option regarding the decision of the test hypothesis is:
v. No, because 0.283 > 0.05.
<h3>What are the hypothesis tested?</h3>At the null hypothesis, we test if the proportion is still of 0.53, that is:
At the alternative hypothesis, we test if it has increased, that is:
.
- If p-value > significance level, we do not reject the null hypothesis.
- If p-value < significance level, we reject the null hypothesis.
In this problem, the p-value is of 0.283 > 0.05, hence there is not sufficient evidence to conclude, at the significance level of a = 0.05, that the proportion of all car owners in the United States who own American-made cars has increased from what it was ten years ago, which means that option V is correct.
More can be learned about p-values at brainly.com/question/16313918