In a random sample of A women, 65% favored stricter gun control laws. In a random sample of B men, 60% favored stricter gun control laws. Test the claim that the proportion of women favoring stricter gun control is higher than the proportion of men favoring stricter gun control. Use a significance level of C

We conclude that the proportion of women favoring stricter gun control is smaller than or equal to the proportion of men favoring stricter gun control.

Step-by-step explanation:

The complete question is : In a random sample of 360 women, 65% favored stricter gun control laws. In a random  sample of 220 men, 60% favored stricter gun control laws. Test the claim that the proportion of women  favoring stricter gun control is higher than the proportion of men favoring stricter gun control. Use a  significance level of 0.05.

Now, we are given that in a random sample of 360 women, 65% favored stricter gun control laws.

And in a random  sample of 220 men, 60% favored stricter gun control laws.

Let = proportion of women favoring stricter gun control laws.

= proportion of men favoring stricter gun control laws.

SO, Null Hypothesis, :     {means that the proportion of women favoring stricter gun control is smaller than or equal to the proportion of men favoring stricter gun control}

Alternate Hypothesis, :     {means that the proportion of women favoring stricter gun control is higher than the proportion of men favoring stricter gun control}

The test statistics that would be used here Two-sample z-test for proportions;

                          T.S. =    ~ N(0,1)

where, = sample proportion of women favoring stricter gun control laws = 65%

= sample proportion of men favoring stricter gun control laws = 60%

= sample of women = 360

= sample of men = 220

So, the test statistics  =  

                                     =  1.205

The value of z test statistics is 1.205.

Now, at 5% significance level, the z table gives critical value of 1.645 for right-tailed test.

Since, our test statistics is less than the critical value of z as 1.205 < 1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the proportion of women favoring stricter gun control is smaller than or equal to the proportion of men favoring stricter gun control.

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

i believe the answer is letter c) 8

step-by-step explanation: