To test an appropriate hypothesis and state your conclusion and be sure the appropriate assumptions and conditions are satisfied before you proceed.
Answer to Problem 25E
We fail to reject that the proportion of women executives is
Explanation of Solution
It is given in the question that a company criticize because only
Thus, let us check the appropriate conditions and assumptions for inference to proceed further to test hypothesis as:
Random condition: It is satisfied as we assumed that the sample was randomly selected from the population.
Independent condition: It is satisfied as we can assume that the sample is independent.
Success/failure condition: It is satisfied because both are greater than ten as,
Thus, all the conditions are satisfied. Thus, for this first we have to select
So, by putting the values above by using the calculator we will get the result as,
The value of z-statistics and the P-value will be then,
And as we know if the P-value is smaller than the significance level, then reject the null hypothesis, so, we have,
Thus, we can conclude that we fail to reject that the proportion of women executives is
Chapter 20 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
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