In a survey conducted by a website, employers were asked if they
had ever sent an employee home because they were dressed
inappropriately. A total of 2756 employers responded to the survey,
with 963 saying that they had sent an employee home for
inappropriate attire. In a press release, the website makes the
claim that more than one-third of employers have sent an employee
home to change clothes.
Do the sample data provide convincing evidence in support of this
claim? Test the relevant hypotheses using
α = 0.05.
For purposes of this exercise, assume that it is reasonable to regard the sample as representative of employers in the United States. (Round your test statistic to two decimal places and your P-value to four decimal places.)
z | = | |
P-value | = |
State your conclusion.
1. Do not reject H0. We have convincing evidence that more than one-third of employers have sent an employee home to change clothes.
2. Reject H0. We do not have convincing evidence that more than one-third of employers have sent an employee home to change clothes.
3. Do not reject H0. We do not have convincing evidence that more than one-third of employers have sent an employee home to change clothes.
4. Reject H0. We have convincing evidence that more than one-third of employers have sent an employee home to change clothes.
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