-2.3 - (4.5 - 3
) = -3.3
3/4x-9=27 solve this equation
1 answer:
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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:
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Answer:
<em>Probability that the spinner will stop on an odd number or a multiple of 5 is </em><em>0.6</em>
Step-by-step explanation:
Probability =
We are given the equal regions numbered from 1 through 20 which means that our total possible outcomes are 20
<em>Total possible outcomes: 20</em>
<em>Outcomes that spinner will stop on an odd number, n(Odd): 10</em>
1, 3, 5, 7, 9, 11, 13, 15, 17, 19
Probability of spinner stoping on Odd number:
P(Odd) = =
=
= 0.5
Outcomes that spinner will stop on a multiple of 5, n(5): 4
5, 10, 15, 20
Probability of spinner stoping on multiple of 5:
P(5) = =
=
= 0.2
Odd numbers which are a multiple of 5 are: 5 and 15
So,
P(Odd and 5) =
Thus Probability of spinner stopping at odd number or a multiple of 5 becomes:
P(Odd or 5) = P(Odd) + P(5) - P(Odd and 5) = 0.5 + 0.2 - 0.1 = 0.6