Question

The quality control engineer at a bottling plant keeps track of the number of bottles that are either overfilled or under-filled. She believes that the percentage of such bottles is less than 4%. To examine the issue she selects 400 bottles and counts the number of overfilled and under-filled bottles. She finds the number of under-filled bottles is 3 and number of overfilled bottles is 9. The p-value is: a) 0.1335 b) 0.1539 c) 0.3461 d) 0.0207 e) Approximately zero

Name: the quality control engineer at a bottling plant keeps track of the number of bottles that are either overfilled or under filled she believes that the percentage of such bottles is less than 66534
Uploaded: 2023-11-06T17:46:28-08:00
Duration: 2 min 42 s
Channel: Supreeta N
Description: the quality control engineer at a bottling plant keeps track of the number of bottles that are either overfilled or under filled she believes that the percentage of such bottles is less than 66534

          The quality control engineer at a bottling plant keeps track of
the number of bottles that are either overfilled or
under-filled.  She  believes that the percentage of
such bottles is less than 4%.  To examine the issue she
selects 400 bottles and counts the number of overfilled
and under-filled bottles.  She finds the number
of under-filled bottles is 3 and number of overfilled bottles
is 9.
The p-value is: 
a) 0.1335
b) 0.1539
c) 0.3461
d) 0.0207
e) Approximately zero

Added by Jonathan P.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Supreeta N

11/06/2023

Step 1

Define the null hypothesis (H0) and the alternative hypothesis (H1). H0: p = 0.04 (The percentage of overfilled or under-filled bottles is 4%.) H1: p < 0.04 (The percentage of overfilled or under-filled bottles is less than 4%.) Show more…

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The quality control engineer at a bottling plant keeps track of the number of bottles that are either overfilled or under-filled. She believes that the percentage of such bottles is less than 4%. To examine the issue she selects 400 bottles and counts the number of overfilled and under-filled bottles. She finds the number of under-filled bottles is 3 and number of overfilled bottles is 9. The p-value is: a) 0.1335 b) 0.1539 c) 0.3461 d) 0.0207 e) Approximately zero