In a random sample of 160 business school students, 72 sample members indicated some measure of agreement with this statement: Scores on a standardized entrance exam are less important for a student’s chance to succeed academically than is the student’s high school GPA. Test the null hypothesis that one-half of all business school graduates would agree with this statement against a two-sided alternative. Find and interpret the p-value of the test.

The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.

The National Collegiate Athletic Association (NCAA) measures the Graduation Success Rate (GSR), which is the percentage of eligible athletes who graduate within six years of entering college. According to the NCAA, the GSR for all scholarship athletes in a particular division is 64%. The GSR for all students in this division is 61%. Suppose the NCAA report was based on a sample of 1,000 student-athletes, of which 640 graduated within six years. Is this sufficient information to conclude that the GSR for all scholarship athletes in this division differs from 61%? Carry out the test using a Type I error rate of 0.05. What are the hypotheses for this test? O A. Ho: p# 0.61 Ha: p=0.61 OC. Ho: p > 0.61 H₁: p≤0.61 E. Ho: p=0.61 Ha: p Calculate the value of the z-statistic for this test. Z= (Round to two decimal places as needed.) What is the rejection region? Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) O A.…

A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Hours of Sleep Age Group 39 or younger 40 or older Fewer than 6 40 38 6 to 6.9 60 57 7 to 7.9 77 75 8 or more 63 90   (a) Conduct a test of independence to determine whether hours of sleep are independent of age.   State the null and alternative hypotheses. H0: Hours of sleep per night is not independent of age.Ha: Hours of sleep per night is independent of age.   H0: Hours of sleep per night is independent of age.Ha: Hours of sleep per night is not independent of age.       H0: The proportion of people who get 8 or more hours of sleep per…

Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 475 randomly selected adults showed that 57​% of them would erase all of their personal information online if they could. Find the value of the test statistic.

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Hypothesis Test: Perform the specified hypothesis test. Be sure to include your statistical andin-context conclusion statements. In 1994, 52% of parents with children in high school felt it was a serious problem that high schoolstudents were not being taught enough math and science. A recent survey found that 512 of 1000 parentswith children in high school felt it was a serious problem that high school students were not being taughtenough math and science. Do parents feel different today than they did in 1994? Use the α = 0.005significance level.

A tv report conducted a survey of 681 people in Washington state and found that 26% of the population believe that Mt Saint Helen's will have a repeat eruption this year.  In the accompanying dialogue, the reporter states,  we are 91% confident that the true proportion of people in Washington state who believe that Mt saint Helen's wil have a repeat eruption this year lies between 20% and 32%. What does 91% represent in the report?

A research study wanted to examine whether religious belief and gender are related in their state. They selected a representative sample of men and women in their State.Select the null and alternative hypothesis of the test: H0: there is no relationship between gender and belief about human originsHa: there is a relationship between gender and belief about human origins   H0: there is a relationship between gender and belief about human originsHa: there is no relationship between gender and belief about human origins     Results of the study are summarized in this table for the Belief about human origins:   religious texts evolutionary theory total male 30 36 66 female 110 89 199 total 140 125 265 The degrees of freedom for the the ?2 statistic are Round the following numbers to two places after the decimal:The test statistic is ?2 =  with a p-value =  The conclusion of the test at the 5% significance level is There is not enough statistical evidence to suggest that gender…

Sierra College students enrolled in an online Elementary Statistics course were asked to participate in an anonymous onlne survey. The survey asked the students "Which type of device will you primarily use to access your online course in Canvas?". Of the 152 students who answered this question, 20 responded "a desktop computer", 121 responded "a laptop computer", 6 responded "a smartphone", and 5 responded "a tablet". The Sierra College Mathematics Department believes that less than 5% of students enrolled in an online Elementary Statistics course primarily uses a smartphone to access their online course in Canvas. Use the data collected in the survey to conduct a hypothesis testing procedure to test this belief. What conclusion should be reached according to the results of this hypothesis test?