Question

Mars migration ~ Living on Mars would be a dream come true for many Americans after popular movies such as Total Recall, The Martian, and John Carter, which are based on Mars. To gauge public interest, a nationwide survey conducted by SpaceX on whether people would like to live on Mars found that 777 out of 930 randomly selected Americans would indeed like to live on Mars. Using this data, Douglas wants to estimate the actual proportion of Americans who would like to live on Mars.

We want to use statistical inference to estimate the actual proportion of Americans who like to live on Mars.

To use a normal distribution in this scenario, which of the following conditions must be satisfied?

Question 15 options:

	The observations within the sample must be independent of each other.
	Both n×p0 and n×(1−p0) must be at least 10 where p0 is the null value for the population proportion.
	There must be at least 10 observed successes and 10 observed failures in the sample.
	Any two samples must be independent of each other.

Answer 1

Correct option is:

Both n×p0 and n×(1−p0) must be at least 10 where p0 is the null value for the population proportion.

(please choose  The observations within the sample must be independent of each other. also if more than 1 can be chosen)