Question

A recent survey of 1000 American women between the ages of 45 and 64 asked them what medical condition they most feared. Of those sampled, 61% said breast cancer, 8% said heart disease, and the rest picked other conditions. By contrast, currently about 3% of female deaths are due to breast cancer, whereas 32% are due to heart disease?a. Construct a 90% confidence interval for the population proportion of women who most feared breast cancer. Interpret.b. Indicate the assumptions you must make for the infer- ence in part a to be valid.

Answer 1

Answer:

Confidence interval for the population proportion of women fearing from breast cancer are 61%

Step-by-step explanation:

Point estimate of the proportion of the population of women who feared from breast cancer is:

β=61%

Standard error of the estimate:

Se= 0.154

Margin of error for 90% confidence interval for the population proportion:

0.254

90% confidence interval for the population proportion will be

(0.5846,0.6354)

Answer 2

a). The confidence interval for women having fear of getting breast cancer is 61%.

Class Interval

a). What information do we have,

The point measure of the percentage of women fearing of having breast cancer:

β = 61%

We also know that,

Standard error in the estimation:

Se = 0.154

Now, for population proportion:

The margin of error of 90% confidence interval = 0.254

Therefore,

The interval(90%) among the population = (0.5846,0.6354)

b). The assumptions would be that majority of the women fear the disease.

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