A survey of 998 tablet owners was conducted. In response to a survey question ab

Question

A survey of 998 tablet owners was conducted. In response to a survey question about shopping, 26% of tablet owners said they use mobile devices for payment, 18% said they use such devices to make social media comments about their purchases, and 12% said they use such devices to retrieve mobile coupons. Complete parts (a) through (d) below a. Construct a 95% confidence interval estimate of the population proportion of tablet owners who said they use mobile devices for payment [ ] srs | | (Round to three decimal places as needed.) b. Construct a 95% confidence interval estimate of the population proportion of tablet owners who said they use mobile devices to make social media comments about their purchases [ ] srs | | (Round to three decimal places as needed.) c. Construct a 95% confidence interval estimate of the population proportion of tablet owners who said they use mobile devices to retrieve mobile coupons [ ] srs | | (Round to three decimal places as needed.) d. You have been asked to update the results of this study. Determine the sample size necessary to estimate, with 95% confidence, the population proportions in (a) through (c) to within ±0.03 For part (a), the sample size is For part (b), the sample size is For part (c), the sample size is (Round up to the nearest integer.)

Explanation / Answer

a)

b)

c)

d)

for part a)

for part b)

for part c)

sample size n                    = 998 sample proportion     p x/n= 0.2600 std error       =Se            =(p*(1-p)/n) = 0.0139 for 95 % CI value of z= 1.9600 margin of error E=z*std error                            = 0.0272 lower confidence bound=sample proportion-margin of error 0.233 Upper confidence bound=sample proportion+margin of error 0.287

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