Question

Asked Mar 7, 2019

Step 1

**Hypotheses:**

Denote* p* as the true population proportion of girl children of chemists.

The chemistry faculty members at the university serve as the sample. Among all the children of the 34 faculty members, 53 are girls and 41 are boys. So, the total number of children is 53 + 41 = 94.

The hypothesis tested using the sample observations is:

*H*_{0} : *p* = 0.5, that is, the true proportion of girl children of chemists is the same as that of their proportion of boy children, versus,

*H*_{1} : *p* > 0.5, that is, the true proportion of girl children of chemists is greater than that of their proportion of boy children.

Step 2

**Test:**

In order to test the hypothesis, the test for one proportion is used. The sample size of 94 being quite large, the normal approximation is used (as a rule of thumb, a sample size greater than 30 is considered large enough). Thus, the test used is the one proportion *z*-test. The test is conducted using MINITAB software.

Software procedure:

- Choose
**Stat > Basic Statistics > 1-Proportion**. - In
**Number of trials**, enter the sample size of**94**and in**Number of Events**, enter number of observations of girl children as**53**. - Enter
**Hypothesized proportion**as**5**. - Select
**Options**. - Choose
**Proportion > hypothesized proportion**in**Alternative hypothesis**. - Click
**OK**in all dialogue boxes.

The output using Minitab is given below:

Step 3

**Conclusion:**

The confidence level was taken by default as 95%, implying that the level of significance, *α*, for the test is 5% or 0.05. Note that the *p*-value is 0.058.

Decision based on the *p*-value method:

- If
*p*-value <*α*, reject*H*0. - If
*p*-value ≥*α*, reject*H*0.

Here, the ...

Tagged in

Q: Q5. You are considering two investment choices: a. 1 year CD that pays 2% for sure; b. investing in ...

A: It is provided that the investment in CD has return of 2% for sure.So, the mean return of this inves...

Q: Intelligence quotas on two different tests are normally distributed. Test A has a mean of 100 and a ...

A: In this question, it has been given that two different tests A and B are normally distributed, Test ...

Q: Rolling Two Dice If two dice are rolled one time, find the probability of getting these results A. ...

A: Hello there! There are more than 3 sub-parts in the question shared. According to our policies canno...

Q: If a given line has a negative slope, then what is the sign of the slope of the line that is perpend...

A: Relationship between slopes of two perpendicular straight lines:The slopes of two lines, which are p...

Q: A contingency table for injuries in the United states, by circumstances and gender, is a follows. Fr...

A: Calculation for part (a):The contingency table is given for injuries.For any event A, the probabilit...

Q: A researcher wants to test to see if husbands are significantly older than their wives. To do this, ...

A: Paired t-test statistic:In order to test a hypothesis regarding whether the difference between a pai...

Q: Five children aged 2, 3, 5, 7 and 8 years old weigh 14, 20, 32, 42 and 44 kilograms respectively. Fi...

A: Let x be the age of children and y be the weight of children.The equation of the regression line is:

Q: A biologist looked at the relationship between number of seeds a plant produces and the percent of t...

A: The estimated regression line is as follows:

Q: A national newspaper reported that the state with the longest mean life span is Hawaii, where the po...

A: Part (A):Sample mean:Denote the life span (years) of a randomly selected individual by X.In order to...