Question

Historically, about ​53% of the population of a certain country believed that the​ planet's temperature was rising​ ("global warming"). A March 2010 poll wanted to determine whether this proportion had changed. The poll interviewed adults in the​ population, and said they believed that global warming was real.​ (Assume these adults represented a simple random​ sample.)

Required:
a. What percentage in the sample believed global warming was real in 2010?
b. Is this more or less than the historical 57%?

Answer 1

Answer:

(a) The proportion is 61.23%

(b) It is more than the historical 57%

Step-by-step explanation:

This question has missing details, and they are:

$n = 926$ ---- The Sample Adults

$x = 567$ -- Those that believe global warming was real

Solving (a): The proportion of those that believe.

This is calculated as:

$p = \frac{x}{n}$

Substitute values for x and n

$p = \frac{567}{926}$

$p = 0.6123$

Express as percentage

$p = 0.6123 * 100\%$

$p = 61.23\%$

Solving (b) More or less than 57%

By comparison:

$61.2\% > 57\%$

Hence, it is more than the historical 57%