The COVID-19 pandemic accelerated the shift from cash to cards. The use of contactless payments also increased sharply in 2020, and lockdowns boosted the growth of e-commerce. Australian Beaurea of Statistics (ABS) claims that 28% of Australian consumers used Paypal when shopping online, and 61.1% of Australians used Amazon pay, with the remainder of Australians using Credit or Debit cards. When randomly surveying 115 Australian online shoppers, 27 reported using Paypal, 61 said using Amazon pay, while 27 used either a Credit or a Debit card. The observed and expected data are summarised in the table below: Online payment methods Observed Expected (0-E) ^2/E Paypal 27 32.2 ** * Amazon pay 61 70.265 1.222 Credit/Debit cards 27 * * * 16.692 Use the above information to answer the following questions by choosing the most correct option or typing the answer. 1. (1 mark) What is the expected value for Australians who use Credit/Debit cards? (2dp) 2. (1 mark) What is the contribution to chi-squared for Paypal? (3dp) 3. (1 mark) What is the chi-squared test statistic? (3dp) 4. (2 marks) Using Excel to find the p-value associated with the chi-squared test, what is your conclusion about the ABS's claim?The unprecedented shift to remote learning during the Covid19 pandemic offered a chance to learn about student experiences and needs and possible future trends in unit design. An educator set out to understand the impact of remote learning and assumed that 35% of students would report their studies in the new situation (online) is the same as in the facetoface context. In a random sample of40 university students. 19 rated their overall learning in the virtual format as on par with the face-to-face learning. Research Question: Has the proportion of students reporting an equal preference for online and face-to-faoe learning changed due to the Covid-19 pandemic? Use the above information to answer the following questions by choosing the most correct option or typing the answer. 1. (1 mark] What is the population proportion of university students reporting the same learning experience in online and face-to-face contexts? p= (de) (Hint: Enter your answer as a proportion. such as 0.01} 2. (1 mark] What is the sample proportion of university students reporting the same learning experience in online and iaoetoface contexts? f5 = (2dp) (Hint Enter your answer as a proportion, such as 0.01) 3. (1 mark} Which statistical test can be used for the research question? 0 A. a z-Test for a population proportion B. a onesample ttest for a population mean C. a two independent samples t-test for comparing means 0 4. (1 mark] Have the success and failure conditions met to use normal approximation to binomial distribution? 5. (1 mark] Calculate the standard error for the sample proportions, assuming the population proportion is known and p = pg (3dr!) 6. (1 mark} What is the absolute value of the test statistic [Hint: don't round p or in your calculation]? (3dp) 0 7. (1 mark] What is the degrees of freedom associated with this hypothesis test