Question

1.    In the past, it was believed that 40% of women felt that men are basically selfish and self-centered. It is now claimed that this proportion has increased. A sample of 3,000 women shows that 1,260 agree with this statement. Can the statistician conclude that more than 40% of women felt that men are basically selfish and self-centered? Use ά = 0.05.

2.   The average number of heart beats per minute for a random sample of 64 patients was found to be 85 with a standard deviation of 10. Test the hypothesis that the true average number of heart beats is less than 85. Use ά = 0.01.

3. A health spa advertised a weight-reducing program and claimed that the average participant in the program loses more than 5 kg. A random sample of 10 participants has the following weights before and after the program. At the 5% level of significance, test his claim.

 

Before	80,     78,   75,   86,     90,   87,   95,     78,   86,   90
After	76,     75,   70,   80,     84,   83,   91,     72,   83,   83

4.   Random samples of 250 males and 170 females at a certain barangay were asked whether they favor legalization of abortion in the country of which 45 males and 50 females were in favor of the proposal. Test at 5% level of significance that there is no difference in the true proportion of male and female who favor the proposal. Use ά = 0.01.