Answer :
Based on the research, the correct answer is: Yes, all of the conditions for inference are met.
How to explain the research
There are three conditions that need to be met for making statistical inference about a population based on a sample.
The sample must be a random sample from the population of interest. In this case, the researcher selected a random sample of 350 babies. Therefore, the random condition is met.
The sample size should be no more than 10% of the population size. Since the number of babies born each day of the week is not specified, we assume that the population size is much larger than 350, so the 10% condition is met.
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A researcher would like to investigate if the distribution of the number of babies born is uniform across the days of the week. To investigate, he selects a random sample of 350 babies and records on which day of the week they were born. He finds that 28 babies were born on Sundays, 65 on Mondays, 48 on Tuesdays, 56 on Wednesdays, 45 on Thursdays, 62 on Fridays, and 46 on Saturdays. He tests the following hypotheses: H0: The distribution of births is uniform across the days of the week. Ha: The distribution of births is not uniform across the days of the week. A researcher would like to investigate if the distribution of the number of babies born is uniform across the days of the week. To investigate, the researcher selects a random sample of 350 babies and records on which day of the week they were born. The researcher would like to know if there is convincing evidence that the distribution of births is uniform across the days of the week. Are the conditions for inference met? No, the random condition is not met. No, the 10% condition is not met. No, the Large Counts condition is not met. Yes, all of the conditions for inference are met
