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Quation 2 The (SQUID19 pandemic accelerated the shift trom cash to cards. The use of contactless payments also increased sharply in 2020, and lockdowns boosted
Quation 2 The (SQUID19 pandemic accelerated the shift trom cash to cards. The use of contactless payments also increased sharply in 2020, and lockdowns boosted the growth of ecommerce. Australian Beaurea of Statistics (ABS) claims that 26.5% of Australian consumers used Paypal when shopping online, and 58.9% of Australians used Amazon pay, with the remainder of Australians using Credit or Debit cards. N at yet save d Marked out of 7.00 When randomly surveying 150 Australian online shoppers, 25 reported using Paypal, 59 said using Amazon pay, while 66 used either a Credit or F Flag question _ a Debit card. The observed and expected data are summarised in the table below: Online payment methods Observed Expected (O-EJAZIE Paypal 25 39.75 "* Amazon pay 59 88.35 9.?5 Credit/Debit cards 66 \"1' 88.804 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 chisquared for Paypal? (3dp) 3. (1 mark} What is the chisquared test statistic? (3dp) 4. (2 marks) Using Excel to find the pvalue associated with the chisquared test, what is your conclusion about the ABS's claim? A v 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? A. Yes, we reject the null hypothesis, and all proportions are different to what ABS has stated. B. No, we do not reject the null hypothesis. C. Yes, we reject the null hypothesis, and at least one of the proportions is different to what ABS has stated. Now, we are interested in Credit/Debit users versus non-Credit/Debit users. Research Question: Is the proportion of Credit/Debit users different from the ABS's claim of 0.146? (Hint: To answer this research question, you may need to conduct a different hypothesis test) 5. (1 mark) What is the absolute value of the test statistic? (3dp) 6. (1 mark) Is it reasonable to conclude that the proportion of Credit/Debit users is significantly different to 0.146? A. Yes, we can conclude that the proportion of Credit/Debit users is significantly different, and specifically the proportion is likely to be higher. B. Yes, we can conclude that the proportion of Credit/Debit users is significantly different, and specifically the proportion is likely to be lower. C. No, we cannot conclude that the proportion of Credit/Debit users is significantly different
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