A photograph measures 4 inches wide and 5 inches long if you have the photograph in large to fit a frame 36 inches long what is
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Answer:
We conclude that there is a difference in seat belt use.
Step-by-step explanation:
We are given that of 1,000 drivers 16-24 years old, 79% said they buckle up, whereas 924 of 1,100 drivers 25-69 years old said they did.
<u><em>Let </em></u><u><em> = population proportion of drivers 16-24 years old who buckle up .</em></u>
<u><em /></u><u><em> = population proportion of drivers 25-69 years old who buckle up .</em></u>
So, Null Hypothesis, :
= 0 {means that there is no significant difference in seat belt use}
Alternate Hypothesis, :
0 {means that there is a difference in seat belt use}
The test statistics that would be used here <u>Two-sample z proportion statistics;</u>
T.S. = ~ N(0,1)
where, = sample proportion of drivers 16-24 years old who buckle up = 79%
= sample proportion of drivers 25-69 years old who buckle up =
= 84%
= sample of 16-24 years old drivers = 1000
= sample of 25-69 years old drivers = 1100
So, <u><em>test statistics</em></u> =
= -2.946
The value of z test statistics is -2.946.
Since, in the question we are not given with the level of significance so we assume it to be 5%. <u><em>Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.</em></u><em> </em>
<em>Since our test statistics doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>
Therefore, we conclude that there is a difference in seat belt use.
This problem can be modeled by the picture shown below. We notice that we are given to side lengths, specifically legs, of the triangle. Therefore, we can use the Pythagorean Theorem, which states that a^2+b^2=c^2, where a and b are legs and c is the hypotenuse. So we can do:
16^2+12^2=c^2
256+144=c^2
400=c^2
The square root of 400 is 20, which is our hypotenuse.
(You might wonder why we used 12, that is because the whole base length is 24, but we only need half of the base to use the Pythagorean Theorem. 24/2 is 12).
:)
16^2+12^2=c^2
256+144=c^2
400=c^2
The square root of 400 is 20, which is our hypotenuse.
(You might wonder why we used 12, that is because the whole base length is 24, but we only need half of the base to use the Pythagorean Theorem. 24/2 is 12).
:)