test Ho: P1-P2=...=Pc with the stated level of significance. use 6 step hypothesis format.A sample of 400 customers at sports bars in NY yielded the following counts based on the preferred sports an individual watched on tv. Dp these data support the claim that customers at sports bars prefer watching TV sports in equal proportions? use 0.025.population basketball 55 baseball 75 football 90 soccer 60 others 120 for a total of 400
The null and alternate hypothesis are:
H0: Customers at sports bars prefer watching TV sports in equal proportions.
Ha: Customers at sports bars do not prefer watching TV sports in equal proportions.
Observed (O) | Expected (E) | ||
Basketball | 55 | 400/5=80 | 7.8125 |
Baseball | 75 | 400/5=80 | 0.3125 |
Football | 90 | 400/5=80 | 1.2500 |
Soccer | 60 | 400/5=80 | 5.0000 |
Others | 120 | 400/5=80 | 20.0000 |
TOTAL | 400 | 400 | 34.375 |
Test statistic value =
The critical value is given by:
Since the test statistic value is greater than the critical value, so we have sufficient evidence to reject null hypothesis H0.
Thus, we can say that customers at sports bars do not prefer watching TV sports in equal proportions.
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