Answer:
There is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5
Step-by-step explanation:
From the question we are told that
The population mean is less than 1.5
The sample size is n = 7
The sample data is 2, 0, 1, 5, 0, 2, and 3
Generally the sample mean is mathematically represented as

=> 
=>
Generally the standard deviation is mathematically represented as

=> 
=> 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as

=>
=>
Generally the p-value is mathematically represented as

From the z-table
So

From the values obtained we see that
Here there is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5