A jewelry company prints a hidden watermark on the logo of all its official documents. The watermark is a chord located 0.7 cm.
from the center of a circular ring that has a 2.5 cm. radius. What is the length of the chord to the nearest tenth
2 answers:
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
Distance between the center and the chord = 0.7 cm
Radius of the circular ring = 2.5 cm
We need to find length of the chord.
Since it forms a right angle triangle.
So, we will use "Pythagorus theorem":
So, Length of chord is given by
Hence, Option 'B' is correct.
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Answer:
As the <em>p</em>-value is too small the null hypothesis will be rejected concluding that there is a higher proportion of people supporting the home team.
Step-by-step explanation:
The hypothesis to determine which team spectators at a football game support is:
<em>H₀</em>: There are equal proportions of people supporting the home team and the visiting team, i.e. <em>p</em>₁ = <em>p</em>₂.
<em>Hₐ</em>: There is a higher proportion of people supporting the home team than the visiting team, i.e. <em>p</em>₁ > <em>p</em>₂.
A <em>z</em>-test for difference between proportions can be used to perform the test.
The test statistic is:
Th decision rule is:
If the <em>p</em>-value of the test is less than the significance level <em>α </em>then the null hypothesis will be rejected and vice-versa.
The commonly used significance levels are 0.01, 0.05 and 0.10.
The <em>p</em>-value of the test is computed as, <em>p</em> = 0.002.
The <em>p</em>-value of the test is less than all the significance level.
Thus, the null hypothesis will be rejected at any of the three significance level.
Conclusion:
As the <em>p</em>-value is too small the null hypothesis will be rejected concluding that there is a higher proportion of people supporting the home team.