Answer:
The sample proportion represents a statistically significant difference from 50%
Step-by-step explanation:
Null hypothesis: The sample proportion is the same as 50%
Alternate hypothesis: The sample proportion is not the same as 50%
z = (p' - p) ÷ sqrt[p(1 - p) ÷ n]
p' is sample proportion = 289/400 = 0.7225
p is population proportion = 50% = 0.5
n is number of students sampled = 400
z = (0.7225 - 0.5) ÷ sqrt[0.5(1 - 0.5) ÷ 400] = 0.2225 ÷ 0.025 = 8.9
The test is a two-tailed test. Using a 0.01 significance level, critical value is 2.576. The region of no rejection of the null hypothesis is -2.576 and 2.576.
Conclusion:
Reject the null hypothesis because the test statistic 8.9 falls outside the region bounded by the critical values -2.576 and 2.576.
There is sufficient evidence to conclude that the sample proportion represents a statistically significant difference from 50%.
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E , quads only explain the x and y intercepts
Answer:
4 serving cups
Step-by-step explanation:
Given
Required
The number of serving cup (n)
This is calculated by dividing the rice cup by the serving cup
Rewrite as:
Change to multiplication
Answer:
Step-by-step explanation:
6) Statement Reasons
∠W = ∠Q Given
WX = QX Given
∠1 = ∠2 Vertically opposite angles
ΔPXW ≅ ΔMXQ A S A congruent (Angle side Angle)
7) ∠1 = ∠4 Given
FH = HF Reflexive property
∠2 = ∠3 Given
ΔFGH ≅ ΔHEF A S A congruent (Angle side Angle)
