A service station owner believes that equal numbers of customers prefer to buy gasoline on every day of the week. A manager at the service station disagrees with the owner and claims that the number of customers who prefer to buy gasoline on each day of the week varies. Test the manager's claim using=0.005

=0.005. The owner surveyed806

806customers over a period of time to record each customer's preferred day of the week.

Preferred Day to Buy Gasoline

Mon. Tues. Wed. Thurs. Fri. Sat. Sun.

Number 95 106 114 129 125 111 126

Step 1 of 4:State the null and alternative hypotheses in terms of the expected proportion for each day. Enter your answer as a fraction or a decimal rounded to six decimal places, if necessary.

answer:

H0:pi ______?

Ha:There is a difference in the number of customers from day to day.

Step 2 of 4:Calculate the expected value for the number of customers on Tuesday. Enter your answer as a fraction or a decimal rounded to three decimal places.

Step 3 of 4:Compute the value of the test statistic.Round any intermediate calculations to at least six decimal places, and round your final answer to three decimal places.

Step 4 of 4:Draw a conclusion and interpret the decision.

Answer

A.We reject the null hypothesis and conclude that there is sufficient evidence at a0.005level of significancethat the number of customers who prefer to buy gasoline on each day of the week varies.

B. We reject the null hypothesis and conclude that there is insufficient evidence at a0.005level of significancethat the number of customers who prefer to buy gasoline on each day of the week varies.

C. We fail to reject the null hypothesis and conclude that there issufficient evidence at a0.005level of significancethat the number of customers who prefer to buy gasoline on each day of the week varies.

D.We fail to reject the null hypothesis and conclude that there is insufficient evidence at a0.005level of significance that the number of customers who prefer to buy gasoline on each day of the week varies.