A doctor claims that the number of births by day of the week is uniformly distributed. To test the claim, you randomly select births from a recent year and record the day of the week the birth takes place. Use a 1% significance to test the claim. Round to the fourth as needed. Day Sun Mon Tues Wed Thurs Fri Sat Frequency 56 36 31 42 36 48 52 a) Type out the null and alternative hypothesis b) State you test statistic c) State your p-value d) State your decision rule e) Type out your conclusion
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The alternative hypothesis (H1) is that the number of births is not uniformly distributed across the days of the week. H0: The number of births is uniformly distributed across the days of the week. H1: The number of births is not uniformly distributed across the Show more…
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Doctor claims that the number of births by day of the week is uniformly distributed. To test the claim, record the day of the week the birth takes place in a recent year. Use you to randomly select births from 10% significance to test the claim. Round to the fourth as needed. Categories Observed Frequency Expected Frequency Sunday Monday Tuesday Wednesday Thursday Friday Saturday Test Statistic: Degrees of Freedom: p-val: Decision Rule: Did something significant happen? Is there enough evidence to conclude?
Adi S.
Conduct the hypothesis test and provide the test statistic, critical value and/or $P$ -value, and state the conclusion. Births Records of randomly selected births were obtained and categorized according to the day of the week that they occurred (based on data from the National Center for Health Statistics). Because babies are unfamiliar with our schedule of weekdays, a reasonable claim is that births occur on the different days with equal frequency. Use a 0.01 significance level to test that claim. Can you provide an explanation for the result? $$\begin{array}{l|ccccccc}\text { Day } & \text { Sun } & \text { Mon } & \text { Tues } & \text { Wed } & \text { Thurs } & \text { Fri } & \text { Sar } \\\hline \text { Number of births } & 77 & 110 & 124 & 122 & 120 & 123 & 97\end{array}$$
Goodness-of-Fit and Contingency Tables
Goodness-of-Fit
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