99) 99) A nationwide survey claimed that at least 65% of parents with young chil
ID: 3315036 • Letter: 9
Question
99) 99) A nationwide survey claimed that at least 65% of parents with young children condone spanking chuid as a regular form of punishment. In a random sample of 100 parents with young child ren, how many would need to say that they condone spanking as a form of punishment in order to refute the claim at = 0.5? A) You would need more B) You would need 57 or less parents to support spanking to refute the C) You D) You would need exactly 57 parents to support spanking to refute the claim. claim. would need 58 or less parents to support spanking to refute the claim. D: STATID5S 10.2.2-5 Topic biective: (102) Tost hypochess a bout a population proportion. (Classical Appruach) d the critical value. 100) 0.01 level of 100) Determine the critical values for a two-tailed test of a population mean at the significance based on a sample size of n-21. B) 2.518 C) ±2.831 D) 2.845 A) ±2.528 ID: STATID55 10.3.1-3Explanation / Answer
Solution:
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 > (phat - 0.65) / sqrt( 0.65 * (1 - 0.65) / 100)
phat < 0.65 - 1.645 * sqrt(0.65 * (1 - 0.65) / 100)
phat < 0.5715385
Answer (b) is correct
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