# Testing Hypothesis Claim

A personal director in a particular state claims that the mean annual income is greater in one of the state's counties (county A) than it is in another county (county B). In county A, a random sample 17 residents has a mean annual income of $42,000 and a standard deviation of $8500.

In County B, a random sample of 8 residents has a mean annual income of $38,300 and a standard deviation of $5100. At significance level 0.05.

Assume the population variances are not equal.

Identify the claim and state the Ho and Ha

Which is the correct claim:

(a) The mean annual incomes in counties A and B are equal."

(b) The mean annual income in county A is less than county B."

(c) The mean annual income in county A is greater than in county B."

(d) The mean annual incomes in counties A and B are not equal.

I have to choose the Ho and Ha from drop down

What are the Ho and Ha?

The null hypothesis is Ho is ___. The alternative hypothesis Ha is ____

Which hypothesis is the claim?

The Alternative Ha or Null

Find the critical value(s) and identify the rejection region(s)

Critical Value =

Round three decimal places as needed.

Rejection region(s) =

Find Standardized test statistic

t=

Round three decimal places as needed

Decide whether to reject or fail to reject the null hypothesis.

______________ the null hypothesis

Interpret the decision in the context or the original claim

At the 5% significance level, ______ enough evidence to support the personnel directors claim.

https://brainmass.com/statistics/hypothesis-testing/testing-hypothesis-claim-483291

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See attachment.

A personal director in a particular state claims that the mean annual income is greater in one of the state's counties (county A) than it is in another county (county B). In county A, a random sample 17 residents has a mean annual income of $42,000 and a standard deviation of $8500.

In County B, a random sample of 8 residents has a mean annual income of $38,300 and a standard deviation of $5100. At significance level 0.05.

Assume the population variances are not equal.

Identify the claim and state the Ho and Ha

Which is the correct claim:

(a) The mean annual incomes in counties A and B are equal."

(b) The mean annual income in county A is less than county B."

(c) The mean annual income in county A is greater than in county B."

(d) The mean annual incomes in counties A and B are not equal.

I have to choose the Ho and Ha from drop down

What are the Ho and Ha?

The null hypothesis is Ho is Âµ1 â‰¤ Âµ2.

The alternative hypothesis Ha is Âµ1 > Âµ2

Which hypothesis is the claim?

The Alternative Ha or Null

Answer: Alternative Ha

Find the critical value(s) and identify the rejection region(s)

df = 7

Critical Value = 1.895

Round three decimal places as needed.

Rejection region(s) =t > 1.895

Find Standardized test statistic

t= = 1.351

Answer: 1.351

Round three decimal places as needed

Decide whether to reject or fail to reject the null hypothesis.

______________ the null hypothesis

Answer: Fail to reject null hypothesis

Interpret the decision in the context or the original claim

At the 5% significance level, ______ enough evidence to support the personnel directors claim.

Answer: There is not enough evidence to support the personnel directors claim.

https://brainmass.com/statistics/hypothesis-testing/testing-hypothesis-claim-483291