Question

I need to know how to properly complete this question step by step in writing as well as using the ti-84?:

Random and independent samples of 900 men and 1200 women were asked if they believe that a good diet was very important to good health. Sample results are as follows

women men

believes a good diet is important 924 603

sample size 1200 900

conduct the appropriate hypothesis test to see if the proportion of all men who hold this view is less than the proportion of all women who hold this view. Using a significance level of a= 0,05. Use a p-value method

Answer 1

Let

Population 1 = men = 900

Population 2 = women = 1200

( 2 ) Test Statistics

( 3 ) P value :

with z csore = - 5.091 ( left tailed ) we get p value = 0

The p-value is p = 0p=0,

( 4 ) Decision

since p = 0 < 0.05, it is concluded that the null hypothesis is rejected.

(5) Conclusion

It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that there is eough evidence to claim that  the proportion of all men who hold this view is less than the proportion of all women who hold this view