Question

A poll was conducted to determine if there was any possible connection between men and women who live in a certain city and the favorability of a mayor in the city. In the poll, of the 400 men selected, 210 reported being in favor of the mayor. Of the 400 women selected, 190 also reported being in favor of the mayor. Assuming gender has nothing to do with favorability, the probability of these results occurring by chance is calculated to be about 0.16. Interpret the results of the calculation at the 0.05 level of significance.

Answer 1

Answer:

There was any possible connection between men and women who live in a certain city

Step-by-step explanation:

Claim: There was any possible connection between men and women who live in a certain city

Let $p_1$and $p_2$ be the probabilities of  possible connection between men and women and no possible connection between men and women respectively.

Hypothesis : $H_0:p_1=p_2\\H_a:p_1 \neq p_2$

In the poll, of the 400 men selected, 210 reported being in favor of the mayor.

Of the 400 women selected, 190 also reported being in favor of the mayor.

We are given that the probability of these results occurring by chance is calculated to be about 0.16.

So, p = 0.16

$\alpha = 0.05$

Since p value is greater than α

So, We failed to reject null hypothesis

So,there was any possible connection between men and women who live in a certain city