Auniversity is conducting a survey in order to estimate the results of an upcoming local election. they intend to take a simple random sample of individuals from the population of eligible voters. each selected individual will be asked whether they will vote for candidate a, yes or no. the university intends to use the results to create a 95% ci for the population proportion of voters who will vote for candidate a. they desire the interval to have a half-width of no more than 0.03. how many individuals must they sample? (hint: the half-width of a ci for a population proportion is maximized when the sample proportion is set to p = 0.5.)

1068

Step-by-step explanation:

, where p is the prior population proportion , E is the margin of error and is the z-value at a certain confidence level.

As per given , we have

Margin of error at 95% confidence interval  : E= half width of the confidence interval = 0.03

z-value for 95% confidence interval :  [using z-value table.]

Since no prior population proportion is given , so we take p= 0.5

[∵ the half-width of a CI for a population proportion is maximized when the sample proportion is set to p = 0.5. ]

Then , the sample size would be :-

 [Rounded to the next integer.]

∴ They must sample 1068 individuals.

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.