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charle [14.2K]
3 years ago
14

Rashid hit a hockey puck against the wall at a 38 degree angle.The puck hit the wall and traveled in a new direction.Determine t

he missing angle in the diagram.

Mathematics
2 answers:
Alex17521 [72]3 years ago
3 0
From the picture it looks like 38 degrees still from the picture sorry if I'm wrong
 
Nesterboy [21]3 years ago
3 0
I can't acutully see it clearly. I am sorry.
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In a representative sample of 1000 adult Americans, only 400 could name at least one justice who is currently serving on the U.S
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Answer:

1) z = -6.32

2) p-value = 0.001 × 10^(-2)

3) we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

Step-by-step explanation:

We are told that In a representative sample of 1000 adult Americans, only 400 could name at least one justice.

Thus:

Sample proportion; p^ = 400/1000 = 0.4

Sample size: n = 1000

We want to find if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice.

Thus, the hypothesis is defined as;

Null hypothesis:H0: p ≥ 0.5

Alternative hypothesis: Ha < 0.5

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Plugging in the relevant values;

z = (0.4 - 0.5)/√(0.5(1 - 0.5)/1000)

z = -6.32

From online p-value from z-score calculator attached, using z = -6.32; significance level of 0.01; one tailed hypothesis;

We have:

p-value = 0.00001 = 0.001 × 10^(-2)

The p-value is less than the significance level and so we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

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