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:
Step-by-step explanation:
Given the equation 1/4 (12 x + 8) + 4 = 3, to fnd the result of the equation, the following steps must be followed.
Step 1: Expand the bracket at the left hand side of the equation using the distributive property.
1/4 (12 x + 8) + 4 = 3
Step 2: Subtract 6 from both sides of the equation
Answer:
6, 6w, 3w, z and w.
Step-by-step explanation:
The common factors are those values that can divide 18w and 30wz perfectly.
Take a look at 6, 6 can divide both perfectly to give 3w and 5wz respectively.
We move on to 6w, this can also work perfectly to yield 3 and 5z.
6xz is not a factor as both values do not contain any x term.
3z is not a factor. Although 30wz has a z term, 18w does not.
3w is a factor as it can give 10z and 6 when used to divide the terms.
Z is not a factor as the 18w term does not contain a z term.
10w is not a term as it can not divide 18w perfectly
w is a term as it can divide both 18w and 30wz perfectly to yield 18 and 30z respectively.
114.
Just add all of them and that's it :)
Answer:
D.) Elliott has 212 cans, Amelia has 45 cans
Step-by-step explanation:
257 = x + (5x - 12)
257 = 6x - 13
+13 +13
270 = 6x
/6 /6
45 = x (the amount of Amelia's cans)
257 - 45 = 212 (the amount of Elliott's cans)
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