Unit 8 - p2 perform a chi-squared test to support a scientific hypothesis, m2 interpret the results of the chi-squared test

Unit 8 – using statistics in science
P2 – Perform a chi-squared test to support a scientific hypothesis
M2 – Interpret the results of the chi-squared test
H0 = there is no statistically significant difference between the observed frequency of the 500
patients taking the new drug and the old drug and the expected frequency.

HA = there is a significant difference between the observed frequency of the 500 patients taking the
new drug and the old drug and the expected frequency.

If 2 value exceeds the critical value by the certain degree of accuracy, 0.05, then the null hypothesis
is rejected.


New drug Old drug

Cured 95 139

Not cured 155 111


(row total × column total)
expected cell frequency=
n


(95+139) ×(95+155)
cured new drug expected cell frequency=
500
58500
cured new drug expected cell frequency=
500
cured new drug expected cell frequency=117


(155+111)×( 95+155)
not cured new drug expected cell frequency=
500
66500
not cured new drug expected cell frequency=
500
not cured new drug expected cell frequency=133


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