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# Testing Hypothesis Claim

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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.

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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

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
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.

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