The school net ball team drew 2 matches. The team won of total matches played
Given, A school netball team won ten matches, lost four and drew of the total played
Let the total number of matches played be "n"
Number of matches drawn = of n
<em>Total matches played = number of won matches + number of lost matches + number of drawn matches</em>
Taking "n" as common from left hand side,
So, they played 16 matches in total
Number of matches drawn = of n =
The hypothesis test shows that we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%
<h3>What is the claim that the return rate is less than 20% by using a statistical hypothesis method?</h3>The claim that the return rate is less than 20% is p < 0.2. From the given information, we can compute our null hypothesis and alternative hypothesis as:
Given that:
Sample size (n) = 6965
Sample proportion
The test statistics for this data can be computed as:
z = -2.73
From the hypothesis testing, since the p < alternative hypothesis, then our test is a left-tailed test(one-tailed.
Hence, the p-value for the test statistics can be computed as:
P-value = P(Z ≤ z)
P-value = P(Z ≤ - 2.73)
By using the Excel function =NORMDIST (-2.73)
P-value = 0.00317
P-value ≅ 0.003
Therefore, we can conclude that since P-value is less than the significance level at ∝ = 0.01, we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%
Learn more about hypothesis testing here:
#SPJ1
Answer:
Step-by-step explanation:
We are required to write the function in vertex form.
First, bring the constant to the left-hand side.
Factorize the right hand side.
Take note of the factored term(4) and write it in the form below.
Substitute 36 for the boxes.
The function written in vertex form is
