Question

In a random sample of 41 professional actors, it was found that 15 were extroverts. Find a 99% confidence interval for p. O 0.239 to 1.175 O 0.163 to 0.569 O 0.239 to 0.492 O 0.163 to 0.492 O 0.163 to 1.175

Name: in a random sample of 41 professional actors it was found that 15 were extroverts find a 99 confidence interval for p o 0239 to 1175 o 0163 to 0569 o 0239 to 0492 o 0163 to 0492 o 0163 to 11 52119
Uploaded: 2022-04-25T16:36:18-08:00
Duration: 2 min 18 s
Channel: Robin Corrigan
Description: in a random sample of 41 professional actors it was found that 15 were extroverts find a 99 confidence interval for p o 0239 to 1175 o 0163 to 0569 o 0239 to 0492 o 0163 to 0492 o 0163 to 11 52119

          In a random sample of 41 professional actors, it was found that 15 were extroverts. Find a 99% confidence interval for p.
O 0.239 to 1.175
O 0.163 to 0.569
O 0.239 to 0.492
O 0.163 to 0.492
O 0.163 to 1.175

in a random sample of 41 professional actors it was found that 15 were extroverts find a 99 confidence interval for p o 0239 to 1175 o 0163 to 0569 o 0239 to 0492 o 0163 to 0492 o 0163 to 11 52119

Added by Eric R.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Robin Corrigan

04/25/2022

Step 1

$\hat{p} = \frac{x}{n} = \frac{15}{41} \approx 0.36585$ Step 3: Calculate the complement of the sample proportion ($\hat{q}$). $\hat{q} = 1 - \hat{p} = 1 - 0.36585 = 0.63415$ Step 4: Find the critical value (z-score) for a 99% confidence interval. For a 99% Show more…

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In a random sample of 41 professional actors, it was found that 15 were extroverts. Find a 99% confidence interval for p. O 0.239 to 1.175 O 0.163 to 0.569 O 0.239 to 0.492 O 0.163 to 0.492 O 0.163 to 1.175