Question

A survey of US women with Ph.D.'s was conducted. Of the 102 respondents in marriages or long-term partnerships with men, 57% reported that their spouse/partner also held a doctorate degree.

Construct a theoretical 90% confidence interval. The interval is:

Select one:

a. (49.0%, 64.7%)

b. (48.9%, 65.1%)

c. (47.1%, 66.7%)

d. (47.4%, 66.6%)

e. (44.4%, 69.6%)

Based on the interval in the previous question, what group(s) can we make a conclusion about?

Select one:

a. All US women

b. All US women with Ph.D.'s

c. All US women with Ph.D.'s who are married

d. All US women with Ph.D.'s who are married or in long-term partnerships

e. All of the above

f. None of the above

The sociologists reporting on this study stated that: "There is strong evidence (p<0.001) that women in opposite-sex partnerships are more likely than women in same-sex partnerships to have a partner with the equivalent level of education." What type of error might the sociologists have committed?

Select one:

a. Type I

b. Type II

c. Neither error is possible

d. Both errors are possible

Answer 1

We need to construct the 90% confidence interval for the population proportion. We have been provided with the following information about the sample proportion:

Sample Proportion	0.57
N	102

The critical value for α=0.1 is z_c = 1.645. The corresponding confidence interval is computed as shown below:

.

b. (48.9%, 65.1%)

Based on the interval in the previous question, what group(s) can we make a conclusion about?

d. All US women with Ph.D.'s who are married or in long-term partnerships

The sociologists reporting on this study stated that: "There is strong evidence (p<0.001) that women in opposite-sex partnerships are more likely than women in same-sex partnerships to have a partner with the equivalent level of education." What type of error might the sociologists have committed?

Since p value is small the null hypothesis is rejected]

Hence she might have made type I error

.

a. Type I