Question

Recently, a large academic medical center determined that

99

of

2020

employees in a particular position were

malemale​,

whereas

4242​%

of the employees for this position in the general workforce were

malemale.

At the

0.050.05

level of​ significance, is there evidence that the proportion of

malemales

in this position at this medical center is different from what would be expected in the general​ workforce?

What are the correct hypotheses to test to determine if the proportion is​ different?

A.

H0​:

piπnot equals≠0.420.42​;

H1​:

piπequals=0.420.42

B.

H0​:

piπequals=0.420.42​;

H1​:

piπnot equals≠0.420.42

Your answer is correct.

C.

H0​:

piπgreater than or equals≥0.420.42​;

H1​:

piπless than<0.420.42

D.

H0​:

piπless than or equals≤0.420.42​;

H1​:

piπgreater than>0.420.42

Calculate the test statistic.

Upper Z Subscript STATZSTATequals=nothing

​(Type an integer or a decimal. Round to two decimal places as​ needed.)

Answer 1

given data and necessary calculation :-

sample size (n) = 20

number of employees in a particular position were male(x) = 9

hypothesis:-

our claim is the alternative hypothesis.

test statistic be:-

z critical value for 95% confidence level both tailed test = 1.96

rejection region:-

reject the null hypothesis,if,

or  

decision:-

so, we fail to reject the null hypothesis.

conclusion:-

there is not enough evidence to claim that the proportion of males in this position at this medical center is different from what would be expected in the general​ workforce at 0.05 level of significance.

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