A study addressed the issue of whether pregnant women can correctly guess the gender of the baby. Among 110 recruited​ subjects, 53.6​% of them correctly guessed the gender of the baby. Use these sample data to test the claim that the success rate of such guesses is no different than the​ 50% success rate expected with random chance guesses. Use a 0.01 significance level. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, and​ P-value, then state the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim. Use the​ P-value method. Use the normal distribution as an approximation of the binomial distribution. Identify the null and alternative hypotheses. Choose the correct answer below.

A. Suppose we want to test whether or not three means are equal. We want to perform this test with a 8% significance level.If we perform an ANOVA test, what is the probability of the test producing accurate results (avoiding a Type I error)? B. Suppose we, instead, run three separate hypothesis tests (t-tests), each with 8% significance level. Mean 1 = Mean 2Mean 1 = Mean 3Mean 2 = Mean 3What is the probability that all three tests would be accurate? C. Why is an ANOVA test more accurate than 3 different tests?

Christine, a researcher in psychology and biobehavioral health, believes that city residents and residents of rural areas differ in how appealing they find owning a cat. A random sample of 109 people who live in San Antonio were surveyed and 59 identified themselves as a "cat person." A random sample of 108 people who live in the surrounding rural area were selected and 72 identified themselves as a "cat person." Conduct an appropriate hypothesis test at the a = 0.1 significance level to test Christine's claim. Round answers to 4 decimal places where appropriate. a. State the null and alternative hypotheses. Ho: p. H₁: p. b. What is the appropriate distribution to use for the hypothesis test? Z (Normal) c. Find the test statistic. Test Statistic: -1.9593 X d. Determine the P-value: op. P-value: 0.0501 X O p.

A college administrator is interested in determining the proportion of students who receive some sort of financial aid. Instead of examining the records for all students, the administrator randomly draws 120 students and finds that 48 of them are receiving financial aid. Use a 90% confidence interval to estimate the true proportion of students who receive financial aid.

a. Identify the null and alternative hypotheses for this test. Choose the correct answer below. b. Identify the test statistic for this hypothesis test. c. The​ P-value for this hypothesis test is d. Identify the conclusion for this hypothesis test.

A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned.   Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.”    Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations.   1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.

An Office of Admission document claims that 55.6% of UVA undergraduates are female. To test this claim, a random sample of 205 UVA undergraduates was selected. In this sample, 55.4% were female. Is there sufficient evidence to conclude that the document's claim is false? Is the percent of undergraduate females different from what is claimed? Carry out a hypothesis test at a 9% significance level. A. The value of the standardized test statistic (give to at least 3 decimal places): B. The p-value is (give to 4 decimal places) C. Your decision for the hypothesis test: OA. Do Not Reject Ho OB. Reject H,- OC. Do Not Reject H1. OD. Reject Ho-

A tennis racquet is spun 100 times, landing with the label facing up 47 times and the label facing down 53 times. Perform a test of whether or not a spun tennis racquet would not land up 50% of the time in the long run.What is the smallest significance level at which you would reject the null hypothesis?Use the sample data to find a 99% confidence interval for the long-run proportion of times that the racquet would land up.

Use the two-proportions z-test to perform the required hypothesis test. Assume that independent simple random samples have been selected from the two populations.   A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 recognized the product while 196 out of 614 Californians recognized the product. At the 5% significance level, do the data provide sufficient evidence to conclude that the recognition rate in New York differs from the recognition rate in California?