Which hypotheses are being tested by the chi-square test? The distribution of gender is different for the three different goals. The null hypothesis is that the most important goal is the same for each gender, and the alternative is that the means differ. The distribution of most important goals is different for men and women. The null hypothesis is that the most important goal and gender are independent, and the alternative is that they are dependent.

The null hypothesis is that the most important goal and gender are independent, and the alternative is that they are dependent.

Step-by-step explanation:

Chi Square test is used to test relationship between categorical (nominal) variables of a population. Eg : Testing men & women  for any attribute, lets say empathy

Eg : Null hypothesis states that there is no difference of empathy level in men & women. Alternate Hypothesis states that there is difference of empathy level in men & women.

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %