On 90 journeys to his office, Isaac noted whether or not it rained. He also recorded his journey time to the office, and classified each journey as short, medium or long. Of the 90 journeys to the...

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Extracted text: On 90 journeys to his office, Isaac noted whether or not it rained. He also recorded his journey time to the office, and classified each journey as short, medium or long. Of the 90 journeys to the office, there were 3 short journeys when it rained, 22 medium journeys when it rained, and 15 long journeys when it rained. There were also 14 short journeys when it did not rain. Isaac carried out a x2 test at the 5% level of significance on these data, looking at the weather and the types of journeys. a. Write down Ho, the null hypothesis for this test. b. Find the expected number of short trips when it rained. с. The p-value for this test is 0.0206. State the conclusion to Isaac's test. Justify your reasoning.