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mario62 [17]
3 years ago
5

The test statistic of z = -3.36 is obtained when testing the claim that p < 0.31.a. Using a significance level of α = 0.01​,

find the critical​ value(s). b. Should we reject H0 or should we fail to reject H0?​
Mathematics
1 answer:
zvonat [6]3 years ago
4 0

Answer:

We can reject the null hypothesis. There is significant evidence that p<0.31 at α = 0.01

Step-by-step explanation:

To test the the claim p < 0.31, null and alternative hypotheses are:

H_{0}: p=0.31

H_{a}: p<0.31

For α = 0.01, one tailed test critical value is -2.33

For z=-3.36 , p value is ≈ 0.0004

Since p-value<significance level (0.0004<0.01), we can reject the null hypothesis. There is significant evidence that p<0.31 at α = 0.01

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oee [108]

Answer:

81,83,85,87,89,91,93,95,97,99

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Find all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4
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n ∈ natural even numbers

Step-by-step explanation:

1 + 3 + 5 + 7 + … + (2n-1)

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sum of the first n terms :

Sₙ = n/2(a + Uₙ)

Sₙ = n/2(1 + 2n - 1)

Sₙ = n/2(2n)

Sₙ = n²

∴ so, the solution of n is all natural even numbers

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3 years ago
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I think it's the second one.
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Please help! I’ve tried every site and nothing has helped<br><br><br>The answer is 11.8
melamori03 [73]

Answer:

11.8%

Step-by-step explanation:

Here in this question, we want to find the probability of no success in the binomial experiment for 6 trials.

Let p = probability of success = 30% = 30/100 = 0.3

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Now to calculate the probability, we shall need to use the Bernoulli approximation of the binomial theorem.

That would be;

P(X = 0) = 6C0 p^0 q^6

6C0 is pronounced six combination zero

= 6 * 0.3^0 * 0.7^6 = 1 * 1 * 0.117649 = 0.117649

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If we convert this to percentage we have 11.76%

But we want our answer rounded to the nearest tenth of a percent and that is 11.8%

8 0
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Andru [333]

Answer:

is at a distance of 722 feet

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we see that it has (angle, adjacent, opposite)

well to start we have to know the relationship between angles, legas and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

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