5(x+2) = 20 15 points
1 answer:
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Answer:
Option a) The probability of obtaining the sample statistic is 2%, if the null hypothesis is true.
Step-by-step explanation:
We are given that the p-value is 0.02
Converting it into percentage:
P-value can be explained as:
- P-value can be described as probability of the occurrence of a given event
- The p-value, or probability, is the probability of finding the observed results when the null hypothesis
of a study is true.
- If the p-value is less than the chosen significance level then we reject the null hypothesis and accept that the sample gives reasonable evidence to support the alternative hypothesis.
- A smaller p-value means that there is stronger evidence in favor of the alternative hypothesis.
- The p-value is the probability to the right of our test statistic.
- The smaller is the p-value, the stronger are the evidence against the null hypothesis and in favor of alternative hypothesis.
Hence, Option a) correctly describes the p-values as:
The probability of obtaining the sample statistic is 2%, if the null hypothesis is true.
The image of the question is attached below.
Given:
m∠DAC = 20° and m∠BCA = 30°
m∠ABC = 90° and m∠CDA = 90°
To find:
The value of x and y.
Solution:
In right triangle ABC,
m∠BAC = x° + 20°
Sum of the interior angles of a triangle = 180°
m∠BAC +m∠ABC + m∠BCA = 180°
x° + 20° + 90° + 30° = 180°
x° + 140° = 180°
Subtract 140° from both sides.
x° + 140° - 140° = 180° - 140°
x° = 40°
In right triangle ADC,
m∠ACD = y° + 30°
Sum of the interior angles of a triangle = 180°
m∠ACD +m∠CDA + m∠DAC = 180°
y° + 30° + 90° + 20° = 180°
y° + 140° = 180°
Subtract 140° from both sides.
y° + 140° - 140° = 180° - 140°
y° = 40°
The value of x is 40 and y is 40.
