Question

Provide all R code used for each exercise. If you conduct a hypothesis test report H, and Ha, test statistic value, degrees of freedom, P value and state your conclusion in plain terms. Also, assume assumptions are met unless indicated otherwise. 1. Children were survived on if they enjoyed the new Elmo movie this summer, they answer "yes" or "no". we need to perform a non-parametric test to get a normal distribution. A non-parametric test on binomial (yes or no) data is called a sign test. Conduct a non-parametric hypothesis test and state your conclusion by interpreting the p-value. Display if the success rate is equal to 70% (of the children answer "yes"). In other words, is the probability of a "yes" vote equal to p=0.7? data: Number of successes ("yes" votes) = 28 Number of trials (children surveyed) - 52 Is the probability of a "yes" vote equal to 70% (p=0.7)?

Answer 1

Solution:

Ho:p=0.7

Ha:p $\neq$ 0.7

alpha=0.05

Rcode:

binom.test(28,52,p=0.7)
Ouptut:

data: 28 out of 52
number of successes = 28, number of trials = 52,
p-value = 0.01483
alternative hypothesis: true probability of success is not equal to 0.7
95 percent confidence interval:
0.3946982 0.6776897
sample estimates:
probability of success
0.5384615

p value=0.01483

p<0.05

Reject null Hypothesis

Accept alternative hypothesis

Conclusion:

There is no sufficient evidence at 5% level of significance to conclude that probability of yes vote equal to 0.7