Questions:

(Make sure you keep at least 4 decimal places throughout your calculations.) Sarah heard that women are more likely than men to choose an even number when asked what their favourite number is. She took a random sample of 50 women and 50 men and asked them each what their favourite number was. Even number was selected by 20% of women and 15.5% of men. At the five percent level of significance, is there a sufficient evidence to conclude that the proportion of people who would choose an even number is higher for women than it is for men? a) What is the hypothesized difference value (keep 2 decimal points in this answer, for example 0.89)? -~ b) What is the standard error value? (keep 4 decimal points in this answer, for example 0.1234) -~ c) What is the p-value? (keep 4 decimals in your answer, for example 0.1234) -~ d) At the 5% level of significance we (reject/ not reject) [ ] Q, null hypothesis. e) There (is/ is not) 43/ enough evidence to conclude that the proportion of people who would choose an even number is higher for women than it is for men