A fertility clinic claims a 40% success rate for in-vitro fertilization (IVF). In a study involving...

A fertility clinic claims a 40% success rate for in-vitro fertilization (IVF). In a study involving 120 women who initiated IVF at the clinic, 39 live births. Is there evidence to reject the clinic’s claim at the 5% level of significance?

Solutions

Expert Solution

Solution :

Given that,

= 40% = 0.40

1 - = 1 - 0.40 = 0.60

n = 120

x = 39

Point estimate = sample proportion = = x / n = 39 / 120 = 0.325

This is a two tailed test.

The null and alternative hypothesis is,

Ho: p 0.40

Ha: p 0.40

The test statistics,

z = ( - ) / (*(1 - ) ) / n

= ( 0.325 - 0.40) / (0.40*0.60) / 120

= -1.677

P-value = 2* P(Z < z)

= 2*P(Z < -1.677)

= 2*0.0468

= 0.0936

The p-value is p = 0.0936, and since p = 0.0936 ≥ 0.05, it is concluded that the null hypothesis is fails to reject.

Conclusion:

It is concluded that the null hypothesis Ho is fails to reject. Therefore, there is not enough evidence to claim that the population proportion p is different than , at the α = 0.05 significance level.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

In vitro fertilization (IVF) has become commonplace and fertility clinics in the US can nearly guarantee...

In vitro fertilization (IVF) has become commonplace and fertility clinics in the US can nearly guarantee the child's gender. Gender selection is forbidden in many countries because politicians assume it will be used to produce boy babies. India and China have areas of the country where the gender imbalance is so skewed to men that they will have trouble finding spouses. In the Fertility Institutes of LA Dr. Steinberg asserts that there is roughly a 50/50 balance. What do you...

In Vitro Fertilization Reproductive technologies such as in vitro fertilization (IVF) may allow couples who previously...

In Vitro Fertilization Reproductive technologies such as in vitro fertilization (IVF) may allow couples who previously could not conceive to have children. However, the use of these technologies is not publicly funded. This means couples have to cover their own costs and may prevent some couples from having children. You are tasked by the Government of Alberta to determine if IVF should be publicly funded. Evaluate the use of IVF as a reproductive technology. 38. How does IVF work? 39....

An engineering firm with a good track record is known to have a 40% success rate...

An engineering firm with a good track record is known to have a 40% success rate in getting state-government construction contracts. In a recent year, the firm submitted bids on eight construction projects to be funded by the state-government. The bids for different projects are assessed independently of each other. i) CHOOSE which of these probability distributions is most appropriate to describe a random variable X defined as "the number of approved state-government construction contracts bid by the engineering firm...

A new drug treatment for cardiac thrombus claims to have a higher success rate than the...

A new drug treatment for cardiac thrombus claims to have a higher success rate than the current drug. A strong sign of the potential success is the lack of internal hemorrhaging starting 2 days after treatment. 168 patients who require treatment for cardiac thrombi are randomized after agreeing to participate in a trial of the new drug. The researchers were interested in whether the new drug reduced the need for blood transfusions due to internal hemorrhage compared to the current...

A study involving 5 patients showed that 40% of the population has type O+ blood. Assume...

A study involving 5 patients showed that 40% of the population has type O+ blood. Assume that the study maybe modeled by a probability experiment. Let x random variable that represents the possible number of patients that have type O+. A. In words describe the success and failure for this experiment. Success= Failure= B. What is the probability that exactly 2 patients will have type O+ blood? C. What is the probability that none of the patients will have type...

lesson 40 homework study of different in tow population proportions Sam claims that the proportion of...

lesson 40 homework study of different in tow population proportions Sam claims that the proportion of all males who have been locked out of their houses is less than the proportion of females who have been locked out of their houses in the last three years. Sam found that 135 out of 300 randomly selected males had locked themselves out of their houses within the last three years. Also, he found that 220 out of 400 randomly selected females had...

A dept. Store marketing study claims 40% of customers prefer Calvin Klein, 30% prefer Tommy Hilfiger,...

A dept. Store marketing study claims 40% of customers prefer Calvin Klein, 30% prefer Tommy Hilfiger, 20% prefer Ralph Lauren and 10% prefer other. A survey of 500 customers finds the following: 175 prefer Calvin Klein, 150 prefer Tommy Hilfiger, 150 Prefer Ralph Lauren and 25 prefer other. Test the goodness of-fit of the marketing study's model using alpha =.05

Subjects