Assisted Reproductive Technology (ART) is a collection of techniques that help facilitate pregnancy, such as in vitro fertilization. A 2008 report by the Centers for Disease Control and Prevention estimated that ART has been successful in leading to a live birth in 31% of cases. A new fertility clinic claims that their success rate is higher than average. A random sample of 30 patients found that 12 were successful. A consumer watchdog group would like to determine if this provides strong evidence for the company’s claim. Assume that p= 0.31 is the true probability that an ART procedure is successful. Find the sampling distribution of p hat. How likely would it be to observe this random sample, or one with an even higher success rate, if our assumption is true? Based on this analysis, the consumer group writes the follow: “Fertility clinic falsely advertises better success rates.” Comment on the appropriateness of this statement.

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  1. Assisted Reproductive Technology (ART) is a collection of techniques that help facilitate pregnancy, such as in vitro fertilization. A 2008 report by the Centers for Disease Control and Prevention estimated that ART has been successful in leading to a live birth in 31% of cases. A new fertility clinic claims that their success rate is higher than average. A random sample of 30 patients found that 12 were successful. A consumer watchdog group would like to determine if this provides strong evidence for the company’s claim.
    1. Assume that p= 0.31 is the true probability that an ART procedure is successful. Find the sampling distribution of p hat.
    2. How likely would it be to observe this random sample, or one with an even higher success rate, if our assumption is true?
    3. Based on this analysis, the consumer group writes the follow: “Fertility clinic falsely advertises better success rates.” Comment on the appropriateness of this statement.
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