please help me with those questions

Exercise 1 (20 marks = 10 + 5 + 5) A market researcher believes that Area A's proportion of households with two or more cars exceeds the proportion of Area B's households with two or more cars. To see whether the facts support this hypothesis, the researcher conducts a survey among Area A and Area B households, with the following results: Number of Number of Area households with households with less than two cars two or more cars 37 113 B 48 112 (a) (10 marks) Carry out an appropriate hypothesis-testing procedure 'manually' at the 10% significance level to see whether this survey supports the market researcher belief. Briefly discuss the steps of the test. Using the relevant critical value table, obtain and comment on the p-value of the test. (b) (5 marks) Use R/RStudio to test the market researcher belief at the 10% significance level. Comment on the test statistic value and on the p-value on your R printout. How do they compare to the test statistic value and p-value you obtained in part (a)? (c) (5 marks) What conditions are required by the test you performed in parts (a) and (b)? Are they likely satisfied? Explain your