Question

Question 5 0.5/1 View Policies Show Attempt History Current Attempt in Progress More Information From the Online Dating Survey A survey conducted in July 2015 asked a random sample of American adults whether they had ever used online dating (either an online dating site or a dating app on their cell phone). Comparing Males to Females In the survey, 17% of the men said they had used online dating, while 14% of the women said they had. X Incorrect. (a) Find a 95% confidence interval for the difference in the proportion saying they used online dating, between men and women. The standard error of the estimate is 0.016. Round your answers to three decimal places. The 95% confidence interval is i -0.011 to i 0.071 eTextbook and Media Hint Correct (b) Is it plausible that there is no difference between men and women in how likely they are to use online dating? Use the confidence interval from part(a) to answer. Yes

Answer 1

Answer:

a)   $\hat p1$ = 17%= 0.17,  $\hat p2$ =14%= 0.14, SE= 0.016, C= 95%

Formula for confidence interval is

($\hat p1$ - $\hat p2$ )  $\pm$ Zc * SE

Where Zc is the Z critical value for C= 95%

Using z table we get critical value as

Zc = 1.96

(0.17 - 0.14) $\pm$ 1.96 * 0.016

0.03 $\pm$ 0.03136

-0.00136 < P < 0.6136

now round it to 3 Decimals

-0.001 < P < 0.614

Therefore 95% confidence interval is -0.001 to 0.614