Answer :
Answer: 0.3632
Step-by-step explanation:
Standard error of p = sqrt (0.29 x 0.71/200) = 0.032
z value corresponding to X=0.25 is
z = (0.29 - 0.25) / 0.032 = 1.25
The area under the standard normal curve left to z = 1.25 indicates the required probability = 0.3632
The area under the standard normal curve left to the z = 1.25 indicates the required probability = 0.3632.
What is normal a distribution?
It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
Twenty-nine percent of Americans say they are confident that passenger trips to the moon will occur in their lifetime.
You randomly sample 200 Americans and ask if they believe passenger trips to the moon will occur in their lifetime.
Then the standard error of p will be
[tex]\rm p = \sqrt{0.29 * \dfrac{0.71}{200}} = 0.032[/tex]
z-value corresponding to x will be
x = 0.25
[tex]\rm z = \dfrac{(0.29 - 0.25)}{0.032} = 1.25[/tex]
Then the area under the standard normal curve left to the z = 1.25 indicates the required probability = 0.3632.
More about the normal distribution link is given below.
https://brainly.com/question/12421652