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The manager of a coffee shop wants to know if his customers' drink preferences have changed in the past year. He knows that last year

The manager of a coffee shop wants to know if his customers' drink preferences have changed in the past year. He knows that last year the preferences followed the following proportions - 34% Americano, 21% Cappuccino, 14% Espresso, 11% Latte, 10% Macchiato, 10% Other. In a random sample of 450 customers, he finds that 115 ordered Americanos, 88 ordered Cappuccinos, 69 ordered Espressos, 59 ordered Lattes, 44 ordered Macchiatos, and the rest ordered something in the Other category. Run a Goodness of Fit test to determine whether or not drink preferences have changed at his coffee shop. Use a 0.05 level of significance.

AmericanosCapp.EspressoLattesMacchiatosOther

Observed Counts: 115 88 69 59 44 75

Expected Counts: 153 94.5 63 49.5 45 45

Enter the p-value - round to 5 decimal places. Make sure you put a 0 in front of the decimal.

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