I need help with Number 6 Cunclude that the Outcome Frequency Outcome Frequency

Question

I need help with Number 6

Cunclude that the Outcome Frequency Outcome Frequency 6. Classic Golf Inc. manages five courses in the Jacksonville, Florida, area. The director of golf wishes to study the number of rounds of goif played per weekday at the five courses He gathered the following sample information shown to the left. At the 05 sig DayRound Monday12 Wednesdy 10 nday nificance level, is there a difference in the number of rounds played by day of the week? 7. A group of department store buyers viewed a new line of dresses and gave their opin- 4 ions of them. The results were

Explanation / Answer

Q.6

Null HYpothesis : H0 : The number of rounds played per week is independent of the day os weeks they are played.

Alternative Hypothesis : Ha : The number of rounds played per week is dependent of the day os weeks they are played.

Significance leval alpha = 0.05

Here we will use the goodness of fit Chi - square test (indendence) Test .

The Observed table is given in the question. Now we will calculate the expected value which is

Expected value of rounds shall be played on each day = (124 + 74 + 104 + 98 + 120)/5 = 104

Value of CHi - square X2= 15.31

Here Degree of freedom = 5 -1 = 4 and alpha = 0.05

so critical value of chi-square X2cr = 9.488

Here, X2 > X2cr so we can reject the null hypothesis and can conclude that the number of rounds played per week is dependent on the day of week they are played.

Day Observed (O) Expected (E) (O -E) (O-E)^2 (O-E)^2/E Monday 124 104 20 400 3.85 Tuesday 74 104 -30 900 8.65 Wednesday 104 104 0 0 0 Thursday 98 104 -6 36 0.35 Friday 120 104 16 256 2.46 520 15.31

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