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.
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.
Given data
Hypothesized mean = 6
Sample Standard deviation = 0.9
Sample mean = 4.7
Sample size n = 189
Formulation of hypothesis
95% confidence interval for the population mean µ is given by
significance level(α)=1-0.95=0.05
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