Are a certain sampled population of women in a poor urban setting as optimistic as women nationally?

Click the link below to download Week 2 Discussion Question 1. The data contained was collected from 1,000 women in the area around downtown Philadelphia. Run a one sample t test on the women's state of optimism given that the National norm on this test for all women is45.1.

1. State the null and alternative hypothesis.
2. What is the value of t for the analysis?
3. Is this value significant and at what level? Why?
4. What are the CI values and what do they mean here?

One sample T hypothesis test:

: Mean of variable H₀: = 45.1 H_A: 45.1 Hypothesis test results:

Variable	Sample Mean	Std. Err.	DF	T-Stat	P-value
optimism score	44.534	0.33089021	999	-1.7105371	0.0875

One sample T confidence interval:

: Mean of variable 95% confidence interval results:

Variable	Sample Mean	Std. Err.	DF	L. Limit	U. Limit
optimism score	44.534	0.33089021	999	43.88468	45.18332