Question

364 of 598 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.)

z

=

Answer 1

H0: p = 0.50

Ha: p > 0.50

Sample proportion = 364 / 598 = 0.6087

Test statistics

z = ( - p) / sqrt [ p( 1 - p) / n ]

= ( 0.6087 - 0.50) / sqrt ( 0.50 * 0.50 / 598 )

= 5.32

p-value = P(Z > z)

= P(Z > 5.32)

= 0.0000

Since p-value < 0.01 level, Reject the null hypothesis.

There is sufficient evidence to conclude that a majority of U.S. adults feel this way.