The frequency of a radio wave varies inversely with its wavelength. if a 100-meter wave has a frequency of 3,000 kilohertz, what is the wavelength of a wave that has a frequency of 500 kilohertz? round your answer to the nearest meter.

Step-by-step explanation:

Confidence interval for the difference in the two proportions is written as

Difference in sample proportions ± margin of error

Sample proportion, p= x/n

Where x = number of success

n = number of samples

For the women,

x = 702

n1 = 798

p1 = 702/798 = 0.88

For the men

x = 802

n2 = 940

p2 = 802/940 = 0.85

Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, confidence level of 95% is 1.96

Margin of error = 1.96 × √[0.88(1 - 0.88)/798 + 0.85(1 - 0.85)/940]

= 1.96 × √0.00026796913

= 0.032

Confidence interval = (0.88 - 0.85) ± 0.032

= 0.03 ± 0.032

Lower boundary = 0.03 - 0.032 = - 0.002

Upper boundary = 0.03 + 0.032 = 0.062

The proportion of all working women who consider job security very or extremely important is higher than that of men and we are 95% confident that the population difference lies between - 0.002 and

0.062