Question

# There are two types of meningitis: bacterial and viral. Researchers are interested in understanding which type...

There are two types of meningitis: bacterial and viral. Researchers are interested in understanding which type of meningitis is more common in women. Data on ten women with meningitis were collected. Of these ten women, 7 had bacterial meningitis and 3 had viral meningitis. Let ? represent the proportion of women with bacterial meningitis in the population. Under the null hypothesis ?0, ?=0.5 (bacterial meningitis is just as common as viral meningitis). The alternative hypothesis, ??, is that ?≠0.5

(bacterial meningitis is not as equally common in women as viral meningitis).

What is the value of the test statistic? Provide your answer as a whole number.

test statistic =

The following figure shows the null distribution for the number of people with bacterial meningitis. The probability of each outcome is given above the bars.

Assuming the null hypothesis (H0:?=0.5)

were true, what is the ?-value for the two‑sided test using the results found in this study? Provide your answer with precision to four decimal places.

The P-value for the two-tailed test 0.2059