A hospital administrator records the number of emergency room visits for each shift in a day. The counts are 4848 for the morning, 5252 for the afternoon, 6565 for the evening, and 3535 for the night. At the 0.010.01 significance level, test the hypothesis that emergency room visits are distributed equally among the four shifts.

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1. Intro to Stats and Collecting Data(0)

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Levels of Measurement
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Sampling Methods
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2. Describing Data with Tables and Graphs(0)

Visualizing Qualitative vs. Quantitative Data
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Frequency Distributions
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Mean
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Median
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Counting
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Uniform Distribution
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Sampling Distribution of the Sample Mean and Central Limit Theorem
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Introduction to Confidence Intervals
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Confidence Intervals for Population Mean
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Determining the Minimum Sample Size Required
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Sampling Distribution of Sample Proportion
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Confidence Intervals for Population Proportion
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Chi Square Distribution
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Confidence Intervals for Population Variance
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Performing Hypothesis Tests: Means
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Performing Hypothesis Tests: Proportions
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Performing Hypothesis Tests: Variance
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Critical Values and Rejection Regions
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Type I & Type II Errors
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Two Proportions
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Two Means - Unknown, Unequal Variance
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Two Means - Unknown, Equal Variance
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Two Means - Known Variance
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Goodness of Fit Test
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13. Chi-Square Tests & Goodness of Fit

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Problem 1Multiple Choice

A hospital administrator records the number of emergency room visits for each shift in a day. The counts are $48$ for the morning, $52$ for the afternoon, $65$ for the evening, and $35$ for the night. At the $0.01$ significance level, test the hypothesis that emergency room visits are distributed equally among the four shifts.

$chi squared equals 9.16$

Fail to reject null hypothesis; there is insufficient evidence that visits are unequally distributed.

$chi squared equals 9.16$

Reject null hypothesis; there is sufficient evidence that visits are unequally distributed.

$chi squared equals 11.35$

Reject null hypothesis; visits are equally distributed.

$chi squared equals 9.16$

Fail to reject null hypothesis; there is sufficient evidence that visits are equally distributed.

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