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3 years ago

Is √3/16 rational or irrational

1 answer:

6 0

Irrational number because it cannot be expressed as a fraction of two whole numbers and it has no accurate decimal equivalent.

So its Irrational hope this helped :)

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For a test of population proportion H0: p = 0.50, the z test statistic equals 1.05. Use 3 decimal places. (a) What is the p-valu

sergiy2304 [10]

Answer:

(a) The p-value of the test statistic is 0.147.

(b) The p-value of the test statistic is 0.294.

(d) None of the p-values give strong evidence against the null hypothesis.

Step-by-step explanation:

The p-value is well defined as the probability,[under the null hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.

We reject a hypothesis if the p-value of a statistic is lower than the level of significance α.

The null hypothesis for the test of population proportion is defined as:

H₀: p = 0.50

The value of z-test statistic is,

z = 1.05

(a)

The alternate hypothesis is defined as:

Hₐ: p > 0.50

Compute the p-value of the test statistic as follows:

$p-value=P(Z>1.05)\\=1-P(Z$

*Use a z-table for the probability value.

Thus, the p-value of the test statistic is 0.147.

(b)

The alternate hypothesis is defined as:

Hₐ: p ≠ 0.50

Compute the p-value of the test statistic as follows:

$p-value=2\times P(Z>1.05)\\=2\times 0.1469\\=0.2938\\\approx 0.294$

*Use a z-table for the probability value.

Thus, the p-value of the test statistic is 0.294.

(c)

The alternate hypothesis is defined as:

Hₐ: p < 0.50

Compute the p-value of the test statistic as follows:

$p-value= P(Z1.05)=1- 0.1469\\=0.8531$

*Use a z-table for the probability value.

Thus, the p-value of the test statistic is 0.8531.

(d)

The decision rule of the test is:

If the p-value of the test is less than the significance level α, then the null hypothesis is rejected at α% level of significance.

And if the p-value of the test is more than the significance level α, then the null hypothesis is failed to be rejected.

The most commonly used level of significance are:

α = 0.01, 0.05 and 0.10

The p-value for all the three alternate hypothesis are:

p-values = 0.147, 0.294 and 0.8531.

All the p-values are quite large compared to the α values.

Thus, none of the p-values give strong evidence against the null hypothesis.

The null hypothesis was failed to be rejected.

5 0

3 years ago

How do you convert a decimal into a percentage?

gogolik [260]

Multiply the decimal by 100. Then add the % sign.

7 0

3 years ago

Read 2 more answers

What 2 consecutive integers have sum of 193?

algol13

The consecutive numbers are...

But first let me tell you what Consecutive numbers are: Numbers which follow each other in order, without gaps, from smallest to largest.
For example 1, 2, 3, 4 are consecutive numbers
2, 4, 6, 8, 10 are consecutive even numbers.

Now The consecutive integers numbers that equal 193, It could be
96 and 97

8 0

3 years ago

3600/40 what is it Evaluate

Elden [556K]

Just put it in a calculator, it’s 3600 divided by 40

3 0

3 years ago

Students from grades 11 and 12 in Jason's school were asked to vote for the prom king and queen. Jason surveyed every 12th stude

Ymorist [56]

Answer:

you don't even ask a question here

Step-by-step explanation: