Flu Bug. Nationally, around 15% of 2^nd grade students had caught the flu this p

Question

Flu Bug. Nationally, around 15% of 2^nd grade students had caught the flu this past winter. In a recent sample of 100 2^nd grade students in Iowa, 20 had caught the flu bug. At the 0.01 significance level, does this information suggest that the proportion of all 2^nd graders in Iowa that caught the flu bug was the same as the national figure of 15%? I. Hypotheses: H_0:_________ H_a:___________ II. test stat = _________ III. Critical value = ___________ IV. H_0. is accepted/rejected. (circle one) V. Conclusion: Evidence suggests that 15% of all Iowa 2^nd graders the flu bug yes/no? (circle one)

Explanation / Answer

Part-I

H0: p=0.15=p0(say)

Ha: p0.15

Part-II

Sample proportion =P_hat=20/100=0.20

Test statistic =(p_hat-p0)/sqrt(p0*(1-p0)/n)

=(0.20-0.15)/sqrt(0.15*(1-0.15)/100)

=1.4003

Part-III

Critical value z0.01/2=±2.58

Part-IV

H0 is Accepted

Part-V

Yes

Part-I

H0: p=0.15=p0(say)

Ha: p0.15

Part-II

Sample proportion =P_hat=20/100=0.20

Test statistic =(p_hat-p0)/sqrt(p0*(1-p0)/n)

=(0.20-0.15)/sqrt(0.15*(1-0.15)/100)

=1.4003

Part-III

Critical value z0.01/2=±2.58

Part-IV

H0 is Accepted

Part-V

Yes

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