Please as you can answer these questions with the steps. only multiple choice.

Thank you

Which of the following statements is correct? An extremely small p-value indicates that the actual data differs markedly from that expected if the null hypothesis were true. The p-value measures the probability that the null hypothesis is true. The p-value measures the probability of making a Type II error. The larger the p-value, the stronger the evidence against the null hypothesis, None of the above statements are true. 5% of trucks of a certain model have needed new engines after being driven between 0 and 100 miles. The manufacturer hopes that the redesign of one of the engine's components has solved this problem. H0: p > 0.05 versus HA: p = 0.05 H0: p 0.05 HO: p > 0.05 H0: p = 0.05 versus HA: p 0.05 Based on a simple random sample of 18 CEOs, the 95% confidence interval for the population mean total compensation is $2, 181, 260 to $5, 836, 180. Based on this interval, can you be confident that the population mean total compensation for CEOs exceeds $3,000,000? Yes No Not enough information The Provost at a university randomly selects 200 students and finds that 118 receive some form of financial aid. The 95% confidence interval for the population proportion is .59 plusminus .07. Which of the following is the appropriate interpretation of that interval? We are 95% confident that the true proportion of all students receiving financial aid is between .52 and .66. 95% of students get between 52 and 66% of their tuition paid for by financial aid. We are 95% confident that between 52% and 66% of the sampled students receive some form of financial aid. We are 95% confident that 59% of the students receive some form of financial aid. An economist is interested in studying the incomes of customers of a particular product. The population standard deviation is $1000. What sample size is needed to obtain a 95% confidence interval with no more than a $100 margin of error? 20 40 385 1537 The Provost at a university wants to estimate the population proportion of students who receive financial aid with 95% confidence and a 3% margin of error. What is the minimum sample size needed? 17 267 1068 2135 Which of the following would be an appropriate alternative (research) hypothesis? The sample mean is 75 the sample mean is not 75 The population mean is 75 The population mean is not 75 In a random sample of 28 families, the average weekly food expense was $95.60 with a sample standard deviation of $22.50. To test whether or not the population mean is less than 100, which of the following should be used? Z-test= (95.6- 100)/2.5 Z-test = (95.6- 100)/4.25 t-test = (95.6-100)/22.5 t-test = (95.6-100)/2.25 t-test = (95.6- 100)/4.25 In a random sample of 28 families, the average weekly food expense was $95.60 with a sample standard deviation of $22.50. To test whether or not the population mean is less than 100, which of the following should be used? Use a 5% level of significance. Reject Ho if Z-test 1.703 Reject Ho if t-test 1.660 Reject Ho if t-test