Solution :
Given that,
= 0.58
1 -
=1-0.58=0.42
margin of error = E =0.02
At 99% confidence level the z is,
= 1 - 99%
= 1 - 0.99 = 0.01
/2
= 0.005
Z/2
= 2.576 ( Using z table )
Sample size = n = (Z/2
/ E)2 *
* (1 -
)
= (2.576 / 0.02)2 * 0.58 * 0.42
=4041.18
Sample size = 4041
b
Given that,
= 0.5
1 -
=0.5
margin of error = E =0.02
At 99% confidence level the z is,
= 1 - 99%
= 1 - 0.99 = 0.01
/2
= 0.005
Z/2
= 2.576 ( Using z table )
Sample size = n = (Z/2
/ E)2 *
* (1 -
)
= (2.576 / 0.02)2 * 0.5 * 0.5
=4147.36
Sample size = 4147
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size...
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.03 with 90% confidence if (a) she uses a previous estimate of 0.54? (b) she does not use any prior estimates? Click the icon to view the table of critical values. (a) n=(Round up to the nearest integer.)
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.05 with 99% confidence if (a) she uses a previous estimate of 0.58? (b) she does not use any prior estimates? (Round up to the nearest integer).
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.04 with 99% confidence if (a) she uses a previous estimate of 0.54? (b) she does not use any prior estimates? Х i Table of critical values Click the icon to view the table of critical values. (a) n= (Round up to the nearest integer.) Level of Confidence, (1 - «). 100%...
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.03 with 90% confidence if (a) she uses a previous estimate of 0.58? (b) she does not use any prior estimates?
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A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.02 with 95% confidence if (a) she uses a previous estimate of 0.42? (b) she does not use any prior estimates?
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A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.03 with 95% confidence if (a) she uses a previous estimate of 0.34? (b) she does not use any prior estimates? (Round up to the nearest integer).
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.010.01 with 9090% confidence if (a) she uses a previous estimate of 0.520.52? (b) she does not use any prior estimates? (a) nequals=?(Round up to the nearest integer.)