A nationwide survey claimed that at least 65% of parents with young children condone spanking their child as a

A nationwide survey claimed that at least 65% of parents with young children condone spanking their child as a regular form of punishment. In a random sample of 100 parents with young children, how many would need to say that they condone spanking as a form of punishment in order to refute the claim at alpha=0.5?


a)you would need exactly 57 parents to support spanking to refute the claim


b) you would need 57 or less parents to support spanking to refute the claim


c) you would need more than 57 parents to support spanking to refute the claim


d) you would need 58 or less parents to support to refute the claim.

A nationwide survey claimed that at least 65% of parents with young children condone spanking their child as a
the alpha level of 0.5 is not a realistic value. the value of 0.05 is much more probable.





to refute the clam the test statistic needs to be less than -1.645





the test statistic is z = (phat - 0.65) / sqrt( 0.65 * (1 - 0.65) / 100)





-1.645 %26gt; (phat - 0.65) / sqrt( 0.65 * (1 - 0.65) / 100)





phat %26lt; 0.65 - 1.645 * sqrt(0.65 * (1 - 0.65) / 100)





phat %26lt; 0.5715385





Answer (b) is correct

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