Need help You are conducting a study to see if the probability of a true negativ

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You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly more than 0.86. You use a significance level of alpha = 0.10. H_0: p = 0.86 H_1: p > 0.86 You obtain a sample of size n = 292 in which there are 262 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is .. less than (or equal to) alpha greater than alpha This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is more than 0.86. There is not sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is more than 0.86. The sample data support the claim that the probability of a true negative on a test for a certain cancer is more than 0.86. There is not sufficient sample evidence to support the claim that the probability of a true negative on a test for a certain cancer is more than 0.86.

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.86
HA : p > 0.86

Hypothesis test results:

Hence,

Test statistic = 1.835

p Value = 0.0333

Less than or equal to

Reject the null

Final conclusion: Option C

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 262 292 0.89726027 0.02030588 1.83495 0.0333

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