document.write( "Question 1177275: It has been determined that 37 out of 100 adult Americans that did not attend college believe in extra-terrestrials. However, from a random sample of 100 adult Americans that did not attend college 43 claim that they believe in extra-terrestrials. Does this indicate that the proportion of people who did not attend college and who believe in extra-terrestrials has changed? Conduct a hypothesis test with a = 0.01 and interpret the results. \n" ); document.write( "

Algebra.Com's Answer #806020 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi\r\n" );
document.write( "Ho:  p = .37\r\n" );
document.write( "Ha:  p > .37\r\n" );
document.write( " a = 0.01  0r z = 2.3263\r\n" );
document.write( "x = .43\r\n" );
document.write( "z = ( .43-.37)/sqrt(.37*.63/100) = 1.2427\r\n" );
document.write( "p-value = P(z < 1.2427) = .893\r\n" );
document.write( "Since p-value is greater than 1%, fail to reject Ho.\r\n" );
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document.write( "Wish You the Best in your Studies.\r\n" );
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