$570, 2%, 6 months - Help, I don’t get how to do it.
1 answer:
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Answer:
Step-by-step explanation:
1) Data given and notation
n=100 represent the random sample taken
X=40 represent the female new Ph.D.’s in economics
estimated proportion of female new Ph.D.’s in economics
is the value that we want to test
represent the significance level
Confidence=90% or 0.90
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim given by: the null hypothesis that the proportion of new Ph.D.’s in economics who are female is at least 0.5, against the alternative hypothesis that it is les.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
3) Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
4) Critical value
For this case we can find the critical value with the normal standard distribution we need a value that accumulates 0.1 of the area on the left tail. And we can find it with the following excel code :"=NORM.INV(0.1;0;1)". And the critical value owuld be .
Now in order to find the critical value in terms of p we know this:
and replacing the values that we got :
And solving for we got: