Which one is wrong and why.

In a random sample of 250 full-time students, 80% preferred to have three one-hour lectures per week rather than two 90-minute lectures. In a random sample of 500 part-time students, 50% said they preferred the three one-hour lectures schedule. The difference between the two sample proportions (full-time - part-time) is to be calculated. Which of the following choices correctly denotes the difference between the two sample proportions that is to be calculated? Op1 - p2 = -0.30 Op1 - P2 =-0.30 Op1 - p2 = 0. 30 OPI - P2 = 0:30Which of the following statements is true about the standard deviation of X? It does not change as the sample size increases. It decreases as the sample size increases. It increases as the sample size increases. It changes each time a new sample is drawn.Heights for women are bell-shaped with a mean of 65 inches and standard deviation of 2.5 inches. If a random sample of 25 women is taken, what is the mean of the sampling distribution of the sample mean? O 65 inches It depends on the value of the sample mean. 2.5 inches 2.5/5 = 0.5 inchesIn a random sample of 250 full time students, 80% preferred to have three one-hour lectures per week rather than two 90-minute lectures. In a random sample of 500 part-time students, 50% said they preferred the three one-hour lectures schedule. The difference between the two sample proportions (full-time - part-time) is to be calculated. What is the standard error for the difference between the two sample proportions? 0.6000 O 0.0011 0.0338 O 0.0553Heights for women are bell-shaped with a mean of 65 inches and standard deviation of 2.5 inches. If a random sample of 25 women is taken, what is the standard deviation of the sampling distribution of the sample mean? It depends on the value of the sample standard deviation. 2.5/5 = 0.5 inches 2.5 inches It depends on the value of the sample mean