STATISTICS 2b03-In a Harris poll of 500 human resource professionals

Question 1.In a Harris poll of 500 human resource professionals, 30% said that body piercings and tattoos were big grooming red flags. Use a 0.01 significance level to test the claim that less than 50% of all human resource professionals say that body piercings are big grooming red flags. Answer question 1 to 4 to complete the hypothesis test.1. Which of the following is the hypothesis test to be conducted? (Choose the correct null and alternative hypotheses)Question 1 options:a)H0:.5Ha:p<0.5b)H0:p<0.5Ha:.5c)H0:.30Ha:p<0.30d)H0:.30Ha:<0.30Question 2In a Harris poll of 500 human resource professionals, 30% said that body piercings and tattoos were big grooming red flags. Use a 0.01 significance level to test the claim that less than 50% of all human resource professionals say that body piercings are big grooming red flags. Answer question 1 to 4 to complete the hypothesis test.2. What is the test statistic? (Choose the one that is most close to your calculation)Question 2 options:a)0.01b)-8.93c)-9.76d)-0.2Question 3In a Harris poll of 500 human resource professionals, 30% said that body piercings and tattoos were big grooming red flags. Use a 0.01 significance level to test the claim that less than 50% of all human resource professionals say that body piercings are big grooming red flags. Answer question 1 to 4 to complete the hypothesis test.3. What is the P-value? (Keep 3 decimal places)Question 4In a Harris poll of 500 human resource professionals, 30% said that body piercings and tattoos were big grooming red flags. Use a 0.01 significance level to test the claim that less than 50% of all human resource professionals say that body piercings are big grooming red flags. Answer question 1 to 4 to complete the hypothesis test.4. What is the conclusion?Question 4 options:a)Reject H0. There is sufficient evidence to warrant rejection of the claim that less than 50% of all human resource professionals say that body piercings are big grooming red flags.b)Reject H0. There is sufficient evidence to support the claim that less than 50% of all human resource professionals say that body piercings are big grooming red flags.c)Fail to reject H0. There is not sufficient evidence to support the claim that less than 50% of all human resource professionals say that body piercings are big grooming red flags.d)Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that less than 50% of all human resource professionals say that body piercings are big grooming red flags.Question 5If we would like to test a population mean and the population standard deviation is unknown, which test should we choose?Question 5 options:a)A binomial testb)A Z-testc)A T-testd)A normal testQuestion 6Which one of the following is NOT a requirement to perform a T-test?Question 6 options:a)The sample is a simple random sampleb)The populatin is normally distributedc)The conditions np?5 and nq?5 are both satisfiedQuestion 7The American Airlines flights would like to study the departure delay time. They would like to test the claim that the mean departure delay time for all flights from New York to Los Angeles is less than 12 min. They recorded 64 different departure delay times and found the mean is 10 min and the standard deviation is 30 min. Use a 0.01 significance level to test the claim.1. Which is the correct hypothesis?Question 7 options:a)H0:µHa:µ<10b)H0:µHa:µ<12c)H0:Ha:<10d)H0:Ha:<12Question 8The American Airlines flights would like to study the departure delay time. They would like to test the claim that the mean departure delay time for all flights from New York to Los Angeles is less than 12 min. They recorded 64 different departure delay times and found the mean is 10 min and the standard deviation is 30 min. Use a 0.01 significance level to test the claim.2. What is the test statistic? (Choose the most closest one)Question 8 options:a)0.01b)-2c)-7.5d)-0.53Question 9The American Airlines flights would like to study the departure delay time. They would like to test the claim that the mean departure delay time for all flights from New York to Los Angeles is less than 12 min. They recorded 64 different departure delay times and found the mean is 10 min and the standard deviation is 30 min. Use a 0.01 significance level to test the claim.3. what is the degree of freedom?Question 9 options:a)30b)64c)63d)8Question 10The American Airlines flights would like to study the departure delay time. They would like to test the claim that the mean departure delay time for all flights from New York to Los Angeles is less than 12 min. They recorded 64 different departure delay times and found the mean is 10 min and the standard deviation is 30 min. Use a 0.01 significance level to test the claim. The P-value is (keep 3 decimal places)