The day of the week for each of 497 randomly selected phone calls was observed. The results are displayed in the table below. Use an a = 0.05 significance level to test the claim that phone calls are not equally like to occur any day of the week. a. Complete the rest of the table by filling in the expected frequencies: Frequencies of Phone Calls for Each Day of the Week Outcome Frequency Expected Frequency Sunday 68 71 Monday 79 71 Tuesday 72 71 Wednesday 68 71 Thursday 73 71 Friday 62 71 Saturday 75 71 b. What is the correct statistical test to use? Goodness-of-Fit c. What are the null and alternative hypotheses? Ho:
Added by Shaun C.
Close
Step 1
Step 1: The expected frequency for each day of the week is 497/7 = 71. Show more…
Show all steps
Your feedback will help us improve your experience
Kari Hasz and 81 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A police department released the numbers of calls for the different days of the week during the month of October, as shown in the table to the right. Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. (There is an error in this design because there are different number of occurrences for some days in a month, but just do this problem for the practice) Day Frequency Sun 153 Mon 208 Tues 221 Wed 245 Thurs 177 Fri 208 Sat 237 The null and alternative hypotheses are shown below H0: Police calls occur with the same frequency on the different days of the week H1: At least one day has a different frequency of calls than the other days a) Find the test statistic (Round to three decimal places as needed) b) Find p-value (Round to three decimal places as needed) c) Draw the conclusion Please check the appropriate tutorial in the announcement.
Kari H.
A police department released the numbers of calls for the different days of the week during the month of October, as shown in the table to the right. Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. What is the fundamental error with this analysis? Day Sun Mon Tues Wed Thurs Fri Sat Frequency 154 204 223 241 176 209 240 Determine the null and alternative hypotheses. H0: Police calls occur with the same frequency on the different days of the week. H1: At least one day has a different frequency of calls than the other days. Calculate the test statistic, χ². χ² = (Round to three decimal places as needed.) Calculate the P-value. P-value = (Round to four decimal places as needed.)
David N.
A police department released the numbers of calls for the different days of the week during the month of October, as shown in the table to the right. Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. What is the fundamental error with this analysis? Day: Sun Mon Tues Wed Thurs Fri Sat Frequency: 156 201 229 243 172 212 238 Determine the null and alternative hypotheses. Ho: H1: Calculate the test statistic, χ². χ² = (Round to three decimal places as needed.) Calculate the P-value. P-value = (Round to four decimal places as needed.)
Rabia S.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD