In: Math
In a poll of
593
human resource professionals,
49.1
%
said that body piercings and tattoos were big grooming red flags. Complete parts (a) through (d) below.
a) Among the
593
human resource professionals who were surveyed, how many of them said that body piercings and tattoos were big grooming red flags?
291
(Round to the nearest integer as needed.)
b) Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that body piercings and tattoos are big grooming red flags.
0.438
less than p less than0.544
(Round to three decimal places as needed.)
c) Repeat part (b) using a confidence level of 80%.
_____<p< _________
In a poll of 593 human resource professionals, 49.1 % said that body piercings and tattoos were big grooming red flags. Complete parts (a) through (d) below.
a) Among the 593human resource professionals who were surveyed, how many of them said that body piercings and tattoos were big grooming red flags?
291
(Round to the nearest integer as needed.)
b) Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that body piercings and tattoos are big grooming red flags.
0.438 less than p less than 0.544
(Round to three decimal places as needed.)
c) Repeat part (b) using a confidence level of 80%.
0.464 < p < 0.517
Confidence Interval Estimate for the Proportion |
|
Data |
|
Sample Size |
593 |
Number of Successes |
291 |
Confidence Level |
99% |
Intermediate Calculations |
|
Sample Proportion |
0.490725126 |
Z Value |
2.5760 |
Standard Error of the Proportion |
0.0205 |
Interval Half Width |
0.0529 |
Confidence Interval |
|
Interval Lower Limit |
0.438 |
Interval Upper Limit |
0.544 |
Confidence Interval Estimate for the Proportion |
|
Data |
|
Sample Size |
593 |
Number of Successes |
291 |
Confidence Level |
80% |
Intermediate Calculations |
|
Sample Proportion |
0.490725126 |
Z Value |
1.2820 |
Standard Error of the Proportion |
0.0205 |
Interval Half Width |
0.0263 |
Confidence Interval |
|
Interval Lower Limit |
0.464 |
Interval Upper Limit |
0.517 |