Question

In: Statistics and Probability

n an October 2018 study by YouGov and The Economist, it was reported that 61% of...

n an October 2018 study by YouGov and The Economist, it was reported that 61%

of men do not believe in ghosts while 47% of women do not believe in ghosts. Are the two

percentages statistically different for the two groups?

a. Assuming 500 men were surveyed, how many do not believe in ghosts? _______

b. Assuming 500 women were surveyed, how many do not believe in ghosts? _______

c. Perform a two- proportion hypothesis test using a significance level of 0.05.

Ho: _______________

Ha: _______________

z-score = _________ p-value = ___________

A=0.05

do we Keep/Fail to Reject Ho OR Reject Ho?

Conclusion: __________________________________________________________

____________________________________________________________________

d. Use StatCrunch to find a 95% confidence interval for the two-sample proportions?

e. Based on your confidence interval, are the percentages of the two groups the same or

different? Please explain.

f. Based on your confidence interval and hypothesis test, does it appear that men do not believe

in ghosts more than women do not believe in ghosts?

Solutions

Expert Solution

a) proportion of male = 305

b) proportion of female = 235

c) H0 : p1= p2 vs H1 : p1 != p2

Test Statistics = 4.3780

P value = 0.000012

Conclusion- Reject null hypothesis.

Percentages of the two groups is different.

e) For female with respect to male , the percentage of female doesn't lie in the interval.

For male with respect to female , the percentage of male doesn't lie in the interval.

So we can conclude that Percentage of two groups is different.

f) Men do not believe ghost more than women do not believe in ghosts. PL??

orchestra answered 1 year ago

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