Answer:
a) The claim is not plausible
b) claim is plausible and the type of bias here is response bias
Step-by-step explanation:
Given data:
Number of political parties = 4
coffee party got the support of 435 out of 1183 randomly selected voters in a poll conducted.
<u>A)</u><u> Construct and interpret a 98% confidence interval to estimate the proportion of voters who support the coffee party </u>
H0 ( null hypothesis ) : p = 0.42
Ha ( alternate hypothesis ) : p ≠ 0.42
z value for 98% confidence interval = 2.326
using 98% confidence interval the value of p = ( 0.3668, 0.3686 )
hence the claim is not plausible
<u>B) Determine the type of bias </u>
Assume the actual number of people = 1200
and 17 people did not respond
hence number of people who responded = 1200 - 17 = 1183
Therefore the claim by the manager is plausible because 17 people did not respond and the type of bias here is response bias
<em>attached below is a detailed solution of the problem of the A part </em>
