An official of a large national union claims that the representation of women in the union is at least 40% (hypothesized population proportion). A researcher believes that the union doesn't have a 40% women representation and conducts the following hypothesis test: Ho: The union has at least 40% women representation Ha: The women representation in the union is less than 40% Using p-value approach and sample information given below, carry out the above hypothesis test. Let the level of significancea for the test in the blank. 0.05. Fill in the required values Sample size (n) Women Men 400 144 256 What is the value of sample proportion? The value of test statistics is (round to two decimal place)

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An official of a large national union claims that the representation of women in the
union is at least 40% (hypothesized population proportion). A researcher believes
that the union doesn't have a 40% women representation and conducts the
following hypothesis test:
Ho: The union has at least 40% women representation
Ha: The women representation in the union is less than 40%
Using p-value approach and sample information given below, carry out the above
hypothesis test. Let the level of significancea
for the test in the blank.
0. 05. Fill in the required values
Sample size (n)
Women
Men
400
144
256
What is the value of sample proportion?
The value of test statistics is (round to two decimal place)
Transcribed Image Text:An official of a large national union claims that the representation of women in the union is at least 40% (hypothesized population proportion). A researcher believes that the union doesn't have a 40% women representation and conducts the following hypothesis test: Ho: The union has at least 40% women representation Ha: The women representation in the union is less than 40% Using p-value approach and sample information given below, carry out the above hypothesis test. Let the level of significancea for the test in the blank. 0. 05. Fill in the required values Sample size (n) Women Men 400 144 256 What is the value of sample proportion? The value of test statistics is (round to two decimal place)
The p-value of the test is (round to four place decimal):
What is your conclusion? Type one of the following two statements:
"Reject the null hypothesis"
"Do not reject the null hypothesis."
Transcribed Image Text:The p-value of the test is (round to four place decimal): What is your conclusion? Type one of the following two statements: "Reject the null hypothesis" "Do not reject the null hypothesis."
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