Question

A random sample of 337 college students was asked whether or not they were registered to vote. We wonder if there is an association between a student’s sex and whether the student is registered to vote. The data are provided in the tables below (expected counts are in parentheses). (All the conditions are satisfied - don’t worry about checking them.)
   
The calculated statistic is χ ² = 0.249 , and the P-value = 0.618.

State your complete conclusion in context with a 5 % level of significance.

		With a P-value of 0.618, we fail to reject the null hypothesis and find that there is not enough evidence to conclude that a student’s sex is not independent of whether the student is registered to vote.
		With a P-value of 0.618, we fail to reject the null hypothesis and find that there is enough evidence to conclude that a student’s sex is not independent of whether the student is registered to vote.
		With a P-value of 0.618, we reject the null hypothesis and find that there is enough evidence to conclude that a student’s sex is not independent of whether the student is registered to vote.
		With a P-value of 0.618, we reject the null hypothesis and find that there is not enough evidence to conclude that a student’s sex is not independent of whether the student is registered to vote.
		With a P-value of 0.249, we reject the null hypothesis and find that there is enough evidence to conclude that a student’s sex is not independent of whether the student is registered to vote.

Answer 1

Given:

Level of significance, ​​​​​​ = 0.05

P-value = 0.618

Calculated statistic, χ 2 = 0.249

We reject null hypothesis if P-value is less than or equal to the level of significance.

Here P - value is greater than level of significance = 0.05

So

With a P-value of 0.618, we fail to reject the null hypothesis and find that there is not enough evidence to conclude that a student’s sex is not independent of whether the student is registered to vote.

Therefore A is the correct option.