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%.
Answer:
26 is 7.05% or 7.04% of 369.
Step-by-step explanation:
Now 7.04% of 369 is actually 25.9776.
and 7.04% is 26.01452.
But if you round both 25.9776 and 26.01452 you get 26
So, technically you are correct.
Hope this helps! :)
Answer:
good morning I was just asking when will I be
Answer:
V = 3408 pi unit^3
Step-by-step explanation:
Volume of a cone is given by
V = 1/3 pi r^2 h
We know the radius is 12 and the height is 71
V = 1/3 * pi * (12)^2 *71
V = 1/3 * pi * 144 *71
V = 3408 pi unit^3
60 seconds because I have down this before and check it about a million time