Respuesta :
Answer: n = 62
Null hypothesis H0 : x = $33,230
Alternative hypothesis Ha : x </> $33,230
Step-by-step explanation:
n = number of samples used for a statistical analysis.
n = 62
In this analysis only 62 samples of female graduates who work full-time and have only a high school degree
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean.
While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
Therefore, for the case above;
H0 : x = $33,230
Ha : x </> $33,230
Where x is the average income of American women who work full-time and have only a high school degree
The null and alternate hypothesis for the considered situation is described below:
- Null hypothesis: [tex]H_0: \overline{x} = \$33,230[/tex]
- Alternate hypothesis: [tex]H_1: \overline{x} \neq \$33,230[/tex]
How to form the hypotheses?
There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.
Null hypothesis is the one which researchers try to disprove.
For this case, it is specified that:
- Average income of American women who work full-time and have only a high school degree is $33, 230 = population mean = [tex]\mu[/tex]
- SRS sample size = n = 62
- Sample mean = [tex]\overline{x} = \$32,052[/tex]
Since we want to test whether this is different from the national average.
Thus, we get the null hypothesis rejecting this, and saying that there is no difference.
And alternative hypothesis takes them different.
The sample mean can be different for different sample, but the national average is fixed (at least until next update),
Thus, the statements for hypothesis would be:
- Null hypothesis: [tex]H_0: \overline{x} = \$33,230[/tex]
- Alternate hypothesis: [tex]H_1: \overline{x} \neq \$33,230[/tex]
Learn more about forming hypothesis here:
https://brainly.com/question/18831983
