Q7 Data were collected using a sample survey on the inhabita

Q7

Data were collected, using a sample survey, on the inhabitants of a British town. Among other things, the respondents were asked their age and their satisfaction with the shopping opportunities in the local high street. These data were used to construct a contingency table, with 2 age categories for its rows, and 5 categories of satisfaction for its columns. The researchers wanted to use this table to test the null hypothesis that satisfaction with the high street opportunities and age are independent. The ?

Solution

chi square statistic =10.29

degree of freedom = 1x4 =4

p value = 0.035816

0.01<p<0.05

Reject H0 at 0.05 level but accept at 0.01 level

C) The null hypothesis is rejected at the 5% significance level, but cannot be rejected at the 1% significance level. Therefore there is little evidence that satisfaction with high street shopping is related to age.