10. [5/8 Points] DETAILS VIOUS ANSWERS MY NOTES PRACTICE ANOTHER In China, the birth ratio is claimed to be 100 girls to 114 boys (46.7% girls). Suppose you don't believe the reported figures of the percent of girls born in China. You conduct a study. In this study, you count the number of girls and boys born in 150 randomly chosen recent births. There are 64 girls and 86 boys born of the 150. Based on your study, do you believe that the percent of girls born in China is 46.7%? Conduct a hypothesis test at the 5% significance level. Part (a) Part (b) + Part (c) Part (d) State the distribution to use for the test. (Round your answers to four decimal places.) P' - N 0.4670 0.0024 x ) Part (e) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) Z v = 0.005 X + Part (f) + Part (9) Part (h) Part (i) Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.) 95% C.I. X X X Submit Answer9. [6.5/8 Points] DETAILS PREVIOUS ANSWERS MY NOTES ACTICE ANOTHER An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of 41 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2. Do the data support your claim at the 1% significance level? Part (a) Part (b) Part (c) Part (d) Part (e) Part (f) What is the p-value? (Round your answer to four decimal places.) 0.0006 X Explain what the p-value means for this problem. If Ho is false, then there is a chance equal to the p-value the average time needed to complete an undergraduate degree is not 5.1 years or more. If Ho is false, then there is a chance equal to the p-value that the average time needed to complete an undergraduate degree is 5.1 years or more. O If Ho is true, then there is a chance equal to the p-value the average time needed to complete an undergraduate degree is not 5.1 years or more. If Ho is true, then there is a chance equal to the p-value that the average time needed to complete an undergraduate degree is 5.1 years or more. Correct! A p-value is the probability that an outcome of the data will happen purely by chance when Ho is true. + Part (9) + Part (h) Part (i) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your lower and upper bounds to two decimal places.) 95% C.I. 5.10 4.59 X 15.61 X