Question

The state of New Mexico is piloting a new program that the governor hopes will increase the proportion of people who regularly go for medical check-ups. Historicallty, this rate was known to be 76%. To help them answer this question, they conduct a study that samples 880 people who live in New Mexico. All of these people participate in the pilot program for 6 months. After participation, they are asked whether the now regularly go for medical check-ups. Of the participants, 686 now say they now regularly go for medical check-ups. Consider the scenario in which this program is rolled out state-wide.

Required:
Formulate the null and alternative hypotheses for what would happen in the whole state based on the data observed in the sample. The null hypothesis H 0 stated in words is tha

Answer 1

H0: p1=p2 against the claim Ha: p1≠p2

Explanation:

Here the proportion of the people going for medical checkup before the program is p1= 0.76

The proportion of the people going for medical checkup after the program is p2= 686/880=0.78

Our null and alternate hypothesis will be

H0: proportion of the people going for medical checkup before the program is equal to the proportion of the people going for medical checkup after the program

against the claim

Ha: proportion of the people going for medical checkup before the program is not equal to the proportion of the people going for medical checkup after the program

Mathematically this can be written as

H0: p1=p2 against the claim Ha: p1≠p2