there are 500 tickets for sale in A raffle. tickets cost $3 each, or $20 for A book of 10. All 500 tickets were sold, and $1350
2 answers:
Answer:
15 booklets of 10 tickets each were sold.
Step-by-step explanation:
We are given the following information:
Let x be the number of single tickets sold and y be the number of booklets sold.
Each booklet consist of 10 tickets.
There are total of 500 tickets.
Thus, it can be represented by the equation:
The cost of single ticket = $3
Cost of booklet = $20
Total money raised = $1,350
This, can be represented in the equation:
Now, we have obtained two equation in two variable. Solving these equations, we get:
Thus, 15 booklets of 10 tickets each were sold.
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Answer:
We need to conduct a hypothesis in order to test the claim that the true proportion of employess are late to work is 0.16, so we need to apply a one sample proportion test:
Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
Data given and notation
n=25 represent the random sample taken
estimated proportion
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion of employess are late to work is 0.16, so we need to apply a one sample proportion test:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The next step would be calculate the p value for this test.
Since is a bilateral test the p value would be: