You are conducting a study to see if the probability of catching the flu this year is significantly less than 0.13. You use a significance level of α=0.002
H0:p=0.13
H1:p<0.13
You obtain a sample of size n=749 in which there are 84
successes.
What is the test statistic for this sample? (Report answer
accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =
The p-value is...
less than (or equal to) α
greater than α
Below are the null and alternative Hypothesis,
Null Hypothesis: p = 0.13
Alternative Hypothesis: p < 0.13
Rejection Region
This is left tailed test, for α = 0.002
Critical value of z is -2.88.
Hence reject H0 if z < -2.88
Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.1121 - 0.13)/sqrt(0.13*(1-0.13)/749)
z = -1.457
P-value Approach
P-value = 0.0726
As P-value is greater than 0.002,
fail to reject null hypothesis.
You are conducting a study to see if the probability of catching the flu this year...
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