We have been given that an employee shreds 341 pages in 11 minutes of work.
First of all we will divide 341 by 11 to find number of pages shred by employee in one minute.
Now let us multiply 31 by 20 to find number of pages shred by employee in 20 minutes.
Therefore, employee will shred 620 pages in 20 minutes.
Answer:
Now we can calculate the p value. Since is a bilateral test the p value would be:
Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%
Step-by-step explanation:
Information given
n=900 represent the random sample selected
estimated proportion of residents favored annexation
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
Replacing the data given we got:
Now we can calculate the p value. Since is a bilateral test the p value would be:
Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%