Hello :) Could you please help me solve this and be clear with which ones are the correct answer?

A simple random sample of size n = 200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 drivers surveyed, 119 responded that they did. Determine if more than half of all drivers drive a car made in this country at the a = 0.05 level of significance. Complete parts (a) through (d). (a) Determine the null and alternative hypotheses. Ho: P = 0.5 P > 0.5 (b) Calculate the P-value. P-value - (Round to three decimal places as needed.)A psychologist obtains a random sample of 20 mothers in the first trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 30 minute each day until they give birth. After 5 years, the child is administered an IQ test. It is known that IQs are normally distributed with a mean of 100. If the IQs of the 20 children in the study result in a sample mean of 104.2 and sample standard deviation of 16, is there evidence that the children have higher IQs? Use the a = 0.05 lev of significance. Complete parts (a) through (c). (a) Determine the null and alternative hypotheses. Ho: 100 100 (b) Calculate the test statistic. State the conclusion for the test. Choose the correct answer below. O A. Do not reject Ho because the test statistic is less than the critical value for the a = 0.05 level of significance. O B. Reject Ho because the test statistic is less than the critical value for the a = 0.05 level of significance. O C. Do not reject Ho because the test statistic is greater than the critical value for the a = 0.05 level of significance. O D. Reject Ho because the test statistic is greater than the critical value for the a = 0.05 level of significance. (c) State the conclusion in context of the problem. There sufficient evidence at the a = 0.05 level of significance to conclude that mothers who listen to Mozart have children with higher IQs