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 a = 0.025. The owner surveyed 795 customers over a period of time to record each customer's preferred day of the week. Preferred Day to Buy Gasoline Mon. Thurs. Fri. Sat. Sun. Tues. Wed. 96 Number 126 101 126 117 113 116 Copy Data 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. Ho: Pi = Ha: There is a difference in the number of customers from day to day.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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11. 

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

Step 3:  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. 

Lastly, draw a conclusion. 

 

 

We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that the number of customers who
O
prefer to buy gasoline on each day of the week varies.
We reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that the number of customers who
prefer to buy gasoline on each day of the week varies.
We reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that the number of customers who
prefer to buy gasoline on each day of the week varies.
We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that the number of customers
O
who prefer to buy gasoline on each day of the week varies.
Transcribed Image Text:We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that the number of customers who O prefer to buy gasoline on each day of the week varies. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that the number of customers who prefer to buy gasoline on each day of the week varies. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that the number of customers who prefer to buy gasoline on each day of the week varies. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that the number of customers O who prefer to buy gasoline on each day of the week varies.
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 a = 0.025. The owner surveyed 795 customers 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
126
101
96
126 117 113
116
Copy Data
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.
Ho: Pi =
Ha: There is a difference in the number of customers from day to day.
Transcribed Image Text: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 a = 0.025. The owner surveyed 795 customers 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 126 101 96 126 117 113 116 Copy Data 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. Ho: Pi = Ha: There is a difference in the number of customers from day to day.
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