Financial investment ~ Kevin is looking to invest his money in a local investment company called Robin Hood financial services. To ensure his investment is safe and has good returns, he randomly surveys people who invested with the company and asks whether they would recommend the company for investment. Of the 420 people surveyed, 265 recommend Robin Hood financial services for investment. Using this data, Kevin wants to use statistical inference to estimate the actual proportion of people who recommend Robin Hood financial services for investment. To use a normal distribution in this scenario, which of the following conditions must be satisfied?

Question 1 options: The observations within the sample must be independent of each other. Any two samples must be independent of each other. There must be at least 10 observed successes and 10 observed failures in the sample. Both np0np0 and n(1p0)n(1-p0) must be at least 10 where p0p0 is the null value for the population proportion.

Question 2:

Late delivery ~ Amazon wants to maintain the existing customer loyalty. Initial data analysis revealed that the proportion of orders that are delivered late to the customers is 0.1. They take measures to improve the quality of their delivery service. Alexa wants to perform a hypothesis test to determine if the actual proportion of orders that are delivered late to the customers is different from the value reported by the initial data analysis. In a recent random sample of 200 orders, Alexa found that 12 orders are delivered late. To use a normal distribution in this scenario, which of the following conditions must be satisfied?

Question 2 options: Both np0np0 and n(1p0)n(1-p0) must be at least 10 where p0p0 is the null value for the population proportion. There must be at least 10 observed successes and 10 observed failures in the sample. The observations within the sample must be independent of each other. Any two samples must be independent of each other. Late delivery ~ Amazon wants to maintain the existing customer loyalty. Initial data analysis revealed that the percentage of orders that are delivered late to the customers is 10%. They take measures to improve the quality of their delivery service. Alexa wants to use statistical inference to determine if the actual proportion of orders that are delivered late to the customers has decreased from the value reported by the initial data analysis. In a recent random sample of 200 orders, Alexa found that 12 orders are delivered late. A normal distribution is used to carry out the appropriate hypothesis test. Choose the null and alternative hypothesis for this hypothesis test from the choices given below. Question 3 options: 123456789101112 H0:H0: 123456789101112 HA:HA: 1. p=0.1p=0.1 2. p=0.06p=0.06 3. p=0.1p^=0.1 4. p=0.06p^=0.06 5. p0.1p0.1 6. p<0.06p<0.06 7. p<0.1p<0.1 8. p0.06p0.06 9. p>0.06p^>0.06 10. p<0.06p^<0.06 11. p0.1p^0.1 12. p0.06

Question 4: Late delivery ~ Amazon wants to maintain the existing customer loyalty. Initial data analysis revealed that the percentage of orders that are delivered late to the customers is 10%. They take measures to improve the quality of their delivery service. Alexa wants to use statistical inference to determine if the actual proportion of orders that are delivered late to the customers is different from the value reported by the initial data analysis. In a recent random sample of 200 orders, Alexa found that 12 orders are delivered late. A normal distribution is used to carry out the appropriate hypothesis test. What is the null standard error used to calculate the test statistic for this hypothesis test? Give your answer to 4 decimal places. Your Answer:

Question 5: Late delivery ~ Amazon wants to maintain the existing customer loyalty. Initial data analysis revealed that the percentage of orders that are delivered late to the customers is 10%. They take measures to improve the quality of their delivery service. Alexa wants to determine if the actual proportion of orders that are delivered late to the customers is different from the value reported by the initial data analysis. In a recent random sample of 200 orders, Alexa found that 12 orders are delivered late. A normal distribution is used to carry out the appropriate hypothesis test. What is the test statistic for this hypothesis test? Give your answer to 4 decimal places. Your Answer: Question 6: Late delivery ~ Amazon wants to maintain the existing customer loyalty. Initial data analysis revealed that the proportion of orders that are delivered late to the customers is 10%. They take measures to improve the quality of their delivery service. Alexa's friend collects a different random sample and uses a normal distribution to carry out the following hypothesis test: H0:p=H0:p= 0.1 vs HA:p