A telephone company claims that the service calls which they receive are equally distributed among the five working days of the week. A survey of 110 randomly selected service calls was conducted. Is there enough evidence to refute the telephone company's claim that the number of service calls does not change from day-to-day? Days of the Week Mon Tue Wed Thu Fri Number of Calls 25 23 24 19 19 State the null and alternative hypothesis. What does the null hypothesis indicate about the proportions of service calls received each day? State the null and alternative hypothesis in terms of the expected proportions for each category. Find the expected value for the number of service calls received on Monday. Round your answer to two decimal places. Find the expected value for the number of service calls received on Tuesday. Round your answer to two decimal places. Find the value of the test statistic. Round your answer to three decimal places. Find the critical value of the test at the 0.05 level of significance. Round your answer to three decimal places. Make the decision to reject or fail to reject the null hypothesis at the 0.05 level of significance. State the conclusion of the hypothesis test at the 0.05 level of significance.
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Null hypothesis (H0): The number of service calls is equally distributed among the five working days of the week. Alternative hypothesis (H1): The number of service calls is not equally distributed among the five working days of the week. Step 2 of 10: What does Show more…
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Are phone calls equally likely to occur any day of the week? The day of the week for each of 616 randomly selected phone calls was observed. The results are displayed in the table below. Use an α = 0.10 significance level. 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 108 Monday 92 Tuesday 92 Wednesday 95 Thursday 59 Friday 84 Saturday 86 What is the correct statistical test to use? Select an answer: Homogeneity, Independence, Paired t-test, Goodness-of-Fit What are the null and alternative hypotheses? H0: The distribution of phone calls is uniform over the days of the week. H1: The distribution of phone calls is not uniform over the days of the week. The degrees of freedom = The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.) The p-value is Select an answer: less than (or equal to), greater than α Based on this, we should Select an answer: accept the null, fail to reject the null, reject the null Thus, the final conclusion is... There is sufficient evidence to conclude that the distribution of phone calls is uniform over the days of the week. There is insufficient evidence to conclude that phone calls and days of the week are dependent. There is sufficient evidence to conclude that the distribution of phone calls is not uniform over the days of the week. There is sufficient evidence to conclude that phone calls and days of the week are dependent. There is insufficient evidence to conclude that the distribution of phone calls is not uniform over the days of the week.
Madhur L.
PHONE HYP TEST: A telephone company claims that more than 27% of its customers have a home telephone line. The company selects a random sample of 450 customers and finds that 89 have home telephone lines. If α = 0.10, test the company's claim using critical values and rejection regions. (Round to 4 decimals) H0: Ha: α = Which hypothesis represents the claim? Circle: Null Hypothesis or Alternative Hypothesis Find the critical values of the rejection region. (Show calculator function used, values plugged into calculator function, and final answer rounded to 4 decimals. Sketch the rejection region on the normal curve.) Test the hypothesis. (Show original formula, values then plugged into formula, and final answer rounded to 4 decimals) Decision (Reject or Fail to Reject): Write a conclusion in context of this problem. At ___% level of significance, there ________ enough evidence to ________ the claim that ___________________________________________________________________________.
Kari H.
A telephone company claims that the service calls which they receive are equally distributed among the five working days of the week. A survey of 110 randomly selected service calls was conducted. Is there enough evidence to refute the telephone company's claim that the number of service calls does not change from day-to-day? Days of the Week Mon Tue Wed Thu Fri Number of Calls 26 22 19 24 19 Find the critical value of the test at the 0.025 level of significance. Round your answer to three decimal places.
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