Question

375 of 586 randomly selected U.S. adults interviewed said they would not be bothered if the National Security Agency collected records of personal telephone calls they had made. Is there sufficient evidence to conclude that a majority of U.S. adults feel this way? Test the appropriate hypotheses using a 0.01 significance level. (Round your test statistic to two decimal places and your P-value to four decimal places.)

375 of 586 randomly selected U.S. adults interviewed said they would not be bothered if the National Security Agency collected records of personal telephone calls they had made. Is there sufficient evidence to conclude that a majority of U.S. adults feel this way? Test the appropriate hypotheses using a 0.01 significance level. (Round your test statistic to two decimal places and your P-value to four decimal places.) P= The data provides enough evidence to suggest that more than half of all U.S. adults say they would not be bothered if the NSA collected records of personal telephone calls they had made.

Answer 1

Answer:

Given,

Ho : p = 0.5

Ha : p > 0.5

alpha= 0.01

p^ = 375/586

= 0.6399

test statistic = (p^ - p) / sqrt(pq/n)

= (0.6399 - 0.5) / sqrt(0.5*0.5/586)

= 6.77

Here corresponding the p value is 0

So p value < alpha , we reject Ho.

So here there is a sufficient evidence.