Are phone calls equally likely to occur any day of the week? The day of the week for each of 385 randomlyselected phone calls was observed. The results are displayed in the table below. Use an a =0.01 significance level.a. Complete the rest of the table by filling in the expected frequencies:Frequencies of Phone Calls for Each Day of theWeekOutcome Frequency Expected FrequencySunday 59Monday 50Tuesday 43Wednesday 60Thursday 79Friday 58Saturday 36b. What is the correct statistical test to use?Goodness-of-Fitc. What are the null and alternative hypotheses?Ho:The distribution of phone calls is not uniform over the days of the week.Phone calls and days of the week are independent.The distribution of phone calls is uniform over the days of the week.Phone calls and days of the week are dependent. H₁:The distribution of phone calls is uniform over the days of the week.The distribution of phone calls is not uniform over the days of the week.Phone calls and days of the week are dependent.Phone calls and days of the week are independent.d. The degrees of freedom =e. The test-statistic for this data =f. The p-value for this sample=g. The p-value is Select an answerh. Based on this, we should Select an answeri. Thus, the final conclusion is...να(Please show your answer to three decimal places.)(Please show your answer to four decimal places.)There is sufficient 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 uniformover the days of the week.There is insufficient evidence to conclude that phone calls and days of the week aredependent.There is insufficient evidence to conclude that the distribution of phone calls is not uniformover the days of the week.There is sufficient evidence to conclude that the distribution of phone calls is uniform overthe days of the week.

The provided information is as follows:The total number of randomly selected phone calls was observed is .The level of significance is .The observed frequency is given as follows: OutcomeFrequencySunday 59Monday50Tuesday43Wednesday60Thursday79Friday58Saturday36a) The expected frequency is calculated as follows:OutcomeFrequency Expected frequency Sunday 59 1/7Monday50 1/755 Tuesday43 1/755 Wednesday60 1/755 Thursday79 1/755 Friday58 1/755 Saturday36 1/755 Sum=385Each day has an equal chance of occurring.The total number of days in a week is .Therefore the probability for each day is .The formula for the expected frequency is given as .b) The appropriate statistical test is the chi-square goodness-of-fit test.To test whether phone calls are equally likely to occur on any day of the week based on the observed frequencies, we can use the chi-square goodness-of-fit test. This test is appropriate when we have categorical data and want to assess whether the observed frequencies differ significantly from the expected frequencies under the assumption of equal probabilities for each category.c) The null and alternative hypotheses are as follows:The third option is correct.: The distribution of phone calls is uniform over the days of the week.The second option is correct.: The distribution of phone calls is not uniform over the days of the week.d) The degree of freedom is calculated as follows:The degree of freedom is 6.e) The test statistic is calculated as follows: OutcomeFrequency Expected frequency Sunday 59 1/755 0.2909Monday50 1/755 0.4545Tuesday43 1/755 2.6182Wednesday60 1/755 0.4545Thursday79 1/755 10.4727Friday58 1/755 0.1636Saturday36 1/755 6.5636Sum=385Sum=21.0182The test statistic is .The formula for the test statistic is .f) The p-value is calculated as follows:The p-value is 0.0018.The p-value is calculated using the Excel formula .h) Here, .0.0018 < 0.01.There is sufficient evidence to reject the null hypothesis.Decision rule: If the p-value is less than the level of significance then we reject the null hypothesis, otherwise we do not reject the null hypothesis.i) The second option is correct.There is sufficient evidence to conclude that the distribution of phone calls is not uniform over the days of the week.a) The expected frequency is OutcomeFrequency Expected frequencySunday 59 1/755 Monday50 1/755 Tuesday43 1/755 Wednesday60 1/755 Thursday79 1/755 Friday58 1/755 Saturday36 1/755 b) The appropriate statistical test is the chi-square goodness-of-fit test.c) The null and alternative hypotheses are as follows:The third option is correct.: The distribution of phone calls is uniform over the days of the week.The second option is correct.: The distribution of phone calls is not uniform over the days of the week.d) The degree of freedom is 6.e) The test statistic is .f) The p-value for this sample is 0.0018.g) The p-value is 0.0018.h) There is sufficient evidence to reject the null hypothesis.i) The second option is correct.There is sufficient evidence to conclude that the distribution of phone calls is not uniform over the days of the week.