11.8Do families and singles have the same distribution of cars? Use a level of significance of 0.050.05. Suppose that 100100 randomly selected families and 200200 randomly selected singles were asked what type of car they drove: sport, sedan, hatchback, truck, van/SUV. The results are shown in Table 11.20. Do families and singles have the same distribution of cars? Test at a level of significance of 0.050.05.

Sport Sedan Hatchback Truck Van/SUV Family 5 14 31 12 38 Single 44 62 36 43 15 Table 11.20 State the null and alternative hypotheses. Ho: The distribution of cars for families Click for List the same as the distribution of cars for singles. HA: The distribution of cars for families Click for List the same as the distribution of cars for singles. What is the number of degrees of freedom? if = Number What is the test statistic? Round your answer to two decimal places. x2 : Number Give the p-value. Round your answer to four decimal places. p-value = Number What can you conclude? p-value Click for List 0.05, so we Click for List the null hypothesis. The data show that the distributions of cars Click for List the same for families and singles