Question

State

Upper H 0H0

and

Upper H Subscript aHa

in words and in symbols. Then determine whether the hypothesis test is​ left-tailed, right-tailed, or​ two-tailed. Explain your reasoning. Sketch a normal sampling distribution and shade the area for the​ P-value.A report claims that lung cancer accounts

fornothing

3333​%

of all cancer diagnoses.

State the null hypothesis in words and in symbols.

The null hypothesis expressed in words is the proportion of cancer diagnoses attributable to lung cancer

▼

is at most

is not

is at least

is more than

is less than

is

nothing.

The null hypothesis is expressed symbolically as

Upper H 0H0​:

p

▼

less than<

equals=

less than or equals≤

greater than or equals≥

greater than>

not equals≠

nothing.

Answer 1

Here,   = population proportion of cancer diagnoses attributable to lung cancer.
We are carrying out a one sample two tailed Z test to check whether the population proportion is 0.33, since it is given that lung cancer accounts for 33​% of all cancer diagnoses.
Hence, the null hypothesis expressed in words is the proportion of cancer diagnoses attributable to lung cancer is 0.33.
The null hypothesis is expressed symbolically as : equals= 0.33.