A travel agent wants to determine if clients have a preference of four different airlines. For a sample of 200 flight reservations, there were 70, 45, 48, and 37 reservations for the four different airlines.a. Set up the competing hypotheses to test if the population proportions are not equal to each other.b. Calculate the value of the test statistic.c. Specify the critical value at the 5% significance level.d. What is the conclusion of the hypothesis test?
What will be an ideal response?
a. H0: p1 = p2 = p3 = p4 = 0.25; HA: Not all proportions equal to 0.25;
b. 11.96
c. 7.815 d. Because the test statistic value is greater than the critical value, reject the null hypothesis. Conclude that not all population proportions are 0.25.
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