In a recent survey of drinking laws, a random sample of 1000 women showed that 65% were in favor of increasing the legal drinking age. in a random sample of 1000 men, 60% favored increasing the legal drinking age. test the hypothesis that the percentage of men and women favoring a higher legal drinking age is the same. use α = 0.05.

The percentage of men and women favoring a higher legal drinking age is the same

Step-by-step explanation:

A random sample of 1000 women showed that 65% were in favor of increasing the legal drinking age

n = 1000

No. of females were in favor of increasing the legal drinking age =

y=650

In a random sample of 1000 men, 60% favored increasing the legal drinking age

n = 1000

No. of males were in favor of increasing the legal drinking age =

y=600

We will use Comparing Two Proportions

Let p_1 and p_2 be the probabilities of men and women favoring a higher legal drinking age is the same.

So,

Formula of test statistic :

test statistic :

test statistic : 2.3094

Refer the z table for p value :

p value : 0.9893

α = 0.05.

p value > α

So, we failed to reject null hypothesis .

So,  the percentage of men and women favoring a higher legal drinking age is the same

this is answer of 144 cubic meters