Question

A store owner claims that the proportion of accurate scans of the bar coding system is greater than 95%. To test this claim, a random sample of store transactions are monitored and checked for scanning accuracy. Assume that the test statistic for this hypothesis test is 1.16. Assume the critical value for this hypothesis test is 1.282. Come to a decision for the hypothesis test and interpret your results with respect to the original claim.

Answer 1

The claim that the proportion of accurate scans of the bar coding system is greater than 95% is false .

Explanation:

Claim : A store owner claims that the proportion of accurate scans of the bar coding system is greater than 95%.

`H_0:p \leq 0.95\\\H_a:p>0.95`

`t_(stat)=1.16`

`t_(critical)=1.282`

Since
`t_(critical)>t_(stat)`

So, we accept the null hypothesis

So, the claim is false

Hence The claim that the proportion of accurate scans of the bar coding system is greater than 95% is false .