Find the value of x. Round to the nearest tenth.
1 answer:
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Answer:
Part A: The null hypothesis failed to be rejected.
Part B: The null hypothesis failed to be rejected.
Step-by-step explanation:
We have an hypothesis test with null and alternative hypothesis H0: p = 0.5 versus Ha: p > 0.5, which has the test statistic z=1.15.
Part A: If the significance level is 0.05, the conclusion depends on the P-value.
If the P-value is below 5%, the null hypothesis is rejected.
The P-value for this right-tailed tes and z=1.15 is:
The P-value is bigger than the significance level, so the effect is not significant and the null hypothesis is failed to be rejected.
Part B: In this case, the significance level is 0.01 and, as the alternative hypothesis is defined with an unequal sign, the test is two-tailed.
This changes the way we calculate the P-value, as we need to compute the two tails.
The P-value is:
The P-value is bigger than the significance level, so the effect is not significant and the null hypothesis is failed to be rejected.
Answer:
Third side = 8.34 cm
Step-by-step explanation:
Given that,
The perimeter of a triangle, P = 22 cm
One side of a triangle, b = 9 cm
The area of the triangle, A = 20.976 cm²
The formula for the area of a triangle is given by :
Perimeter = Sum of all sides
9 cm + 4.66 cm + x = 22
x = 22 - 13.66
x = 8.34 cm
So, the third side of the triangle is 8.34 cm.