An 2017 NPR/Marist poll asked a random sample of Americans if they had personally experienced sexual harassment in the workplace. The results are shown in the following table.

a. Find the percentage in each group who had personally experienced sexual harassment in the workplace.

b. Test the hypothesis that experience of sexual harassment in the workplace is associated with gender at the 0.05 significance level.

Personally Experienced Sexual Harassment in the Workplace

Yes | No | |
---|---|---|

Men | 120 | 380 |

Women | 182 | 337 |

Solution

Verified### a)

Getting the sample percentage of men that got sexually harassed in the workplace we have:

$\dfrac{\# \text{Men that got sexually harassed}}{\# \text{Men}}=\dfrac{120}{120+380} = \dfrac{120}{500} = 0.24$

Meanwhile, the sample percentage of women that got sexually harassed in the workplace would be:

$\dfrac{\# \text{Women that got sexually harassed}}{\# \text{Women}}=\dfrac{120}{120+380} = \dfrac{182}{182+337} = \dfrac{182}{519} \approx 0.35$

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