An investigator wants to determine if a new program aimed at reducing the overall number of pregnancies in a highly populated area is effective (reducing average births below 6 per household). In order to carry out the investigation, the investigator conducts a survey of 189 participants in the program and finds the average number of births is 4.7 with a sample standard deviation of 0.9 births. Construct a 95% confidence interval for the average number of births per household in this study. Provide a correct interpretation of your interval.

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Asked Nov 22, 2019
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An investigator wants to determine if a new program aimed at reducing the overall number of pregnancies in a highly populated area is effective (reducing average births below 6 per household). In order to carry out the investigation, the investigator conducts a survey of 189 participants in the program and finds the average number of births is 4.7 with a sample standard deviation of 0.9 births. Construct a 95% confidence interval for the average number of births per household in this study. Provide a correct interpretation of your interval.

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Expert Answer

Step 1

Given data
Hypothesized mean = 6
Sample Standard deviation = 0.9
Sample mean = 4.7
Sample size n = 189
Formulation of hypothesis
95% confid...

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ta 2.m-1 0.9 X V189 => 4.7 ± to.05 -,189-1 2 0.9 (4. 5708, 4.829) => 4.7 1.9726 x V189 = -1.9726 (From excel = T. INV. 2T(0.05,189)) to.05 2 15-1 X

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Hypothesis Testing

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