Question

1. In 2009 it was known that 22% of all Americans believed the moon landing was fake. If a sample of 500 people showed 18 now think it was fake, can you conclude the percentage of people has declined. Use α = 0.05.

NEED ALL WORK CLEARLY AND UNDERSTANDABLE PLEASE AND THANK YOU

Answer 1

The null and alternate hypothesis are:

H0:

Ha:

The test statistic value is given by:

Since this is a left tailed test, so the p-value is given by:

Since p-value is less than 0.05, so we have sufficient evidence to reject the null hypothesis
H0.

Thus we can say that i.e. the percentage of people has declined.