b) Below is a histogram showing the distribution of ˆp∼p^∼ in 10,000 simulations under the null hypothesis. Estimate the one-sided p-value using the plot d) Write an appropriate conclusion about your alternative hypothesis in context. e) After performing this analysis, the consumer group releases the following news headline: "Infertility clinic falsely advertises better success rates". Comment on the appropriateness of this statement.

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b) Below is a histogram showing the distribution of ˆp∼p^∼ in 10,000 simulations under the null hypothesis. Estimate the one-sided p-value using the plot


d) Write an appropriate conclusion about your alternative hypothesis in context.

e) After performing this analysis, the consumer group releases the following news headline: "Infertility clinic falsely advertises better success rates". Comment on the appropriateness of this statement.

 

Assisted Reproductive Technology (ART) is a collection of techniques that help facilitate pregnancy (e.g. 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 of their patients yielded a success rate of 40%. A consumer
watchdog group would like to determine if this provides strong evidence to support the company's claim.
a) Write the hypotheses to test if the success rate for ART at this clinic is significantly higher than the success
rate reported by the CDC.
Но: р
=0.31
НА: р >0.31
b) Below is a histogram showing the distribution of p, in 10,000 simulations under the null hypothesis.
Estimate the one-sided p-value using the plot.
c) Using a 5% level of significance, we should reject
O the null hypothesis.
d) Write an appropriate conclusion about your alternative hypothesis in context.
e) After performing this analysis, the consumer group releases the following news headline: "Infertility clinic
falsely advertises better success rates". Comment on the appropriateness of this statement.
0.15
0.10
0.05
T
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
Psim
Transcribed Image Text:Assisted Reproductive Technology (ART) is a collection of techniques that help facilitate pregnancy (e.g. 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 of their patients yielded a success rate of 40%. A consumer watchdog group would like to determine if this provides strong evidence to support the company's claim. a) Write the hypotheses to test if the success rate for ART at this clinic is significantly higher than the success rate reported by the CDC. Но: р =0.31 НА: р >0.31 b) Below is a histogram showing the distribution of p, in 10,000 simulations under the null hypothesis. Estimate the one-sided p-value using the plot. c) Using a 5% level of significance, we should reject O the null hypothesis. d) Write an appropriate conclusion about your alternative hypothesis in context. e) After performing this analysis, the consumer group releases the following news headline: "Infertility clinic falsely advertises better success rates". Comment on the appropriateness of this statement. 0.15 0.10 0.05 T 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 Psim
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