You wish to test the following claim (Ha) at a significance level of a = 0.002. H:P = Pa H P > P You obtain 229 successes in a sample of size = 327 from the first population. You obtain 245 successes in a sample of size na = 415 from the second population. What is the critical value for this test? (Round to three decimal places.) Critical value = What is the test statistic for this sample? (Round to three decimal places.) Test statistic = The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. O The sample data support the claim that the first population proportion is greater than the second population proportion. O There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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Author:Carter

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Chapter4: Equations Of Linear Functions

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Same with this one I can't get the critical value or test statistic. Should I reject the null?

You wish to test the following claim (Ha) at a significance level of a = 0.002.
H:P = Pa
H P > P
You obtain 229 successes in a sample of size = 327 from the first population. You obtain 245 successes
in a sample of size na = 415 from the second population.
What is the critical value for this test? (Round to three decimal places.)
Critical value =
What is the test statistic for this sample? (Round to three decimal places.)
Test statistic =
The test statistic is...
O in the critical region
O not in the critical region
This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the claim that the first population proportion is
greater than the second population proportion.
There is not sufficient evidence to warrant rejection of the claim that the first population proportion
is greater than the second population proportion.
O The sample data support the claim that the first population proportion is greater than the second
population proportion.
O There is not sufficient sample evidence to support the claim that the first population proportion is
greater than the second population proportion.

Expert Solution

Step 1

Given information-

We have given two population samples.

Let,

p₁ = proportion of first population sample

p₂ = proportion of second population sample

For first population-

n₁ = 327

x₁ = 229

For second population-

n₂ = 415

x₂ = 246

Population proportion of first population-

The Population proportion of second population-

Given Hypothesis is-

Null Hypothesis, H₀: p₁ = p₂

Alternate Hypothesis, H_a: p₁ > p₂

Significance level, α = 0.002

Step 2

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