The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.
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Answer:
There is enough evidence to support the claim that the percentage of residents attending college in that age-group is greater than 23.8%
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 610
p = 23.8% = 0.238
Alpha, α = 0.01
Number of 18-24 year-old attending college , x = 178
First, we design the null and the alternate hypothesis
This is a one-tailed(right) test.
Formula:
Putting the values, we get,
Now, we calculate the p-value from the table.
P-value = 0.0009
Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject the null hypothesis.
Conclusion:
Thus there is enough evidence to support the claim that the percentage of residents attending college in that age-group is greater than 23.8%