1) The claim is that the proportion of adults who smoked a cigarette in the past

Question

1) The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.35, and the sample statistics include n=1556 subjects with 560 saying that they smoked a cigarette in the past week. Find the value of the test statistic. The test statistic is?

2)The claim is that the IQ scores of statistics professors are normally distributed, with a mean greater than 126.A sample of 13professors had a mean IQ score of 128

with a standard deviation of 14.Find the value of the test statistic.The value of the test statistic is?

Explanation / Answer

p=0.35

here std error of proportion =(p(1-p)/n)1/2 =0.012

phat=560/1556=0.36

HENCE test stat z=(phat-p)/std error =0.8185

2)here std error of mean =std deviation/(n)1/2 =3.8829

hence test stat t=(X-mean)/std error =(128-126)/3.8829 =0.5151

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