Suppose you conduct a hypothesis test based on a sample where the sample size is n = 50, and arrive at a p-value of 0.08. You then refer back to your notes and discover that you made a careless mistake, the sample size should have been n = 500. Will your p-value increase, decrease, or stay the same? Explain.

Decrease

Step-by-step explanation:

The Pvalue is used to measure the level or decide if a particular research claim is significant or not. The sample size also plays a role in the Pvalue of a statistical analysis. Larger sample sizes tend to prove the significance of the claim. Using the Pvalue approach, the significance of a claim is examined by the and established by small P values. Therefore, an initial Pvalue of 0.08 obtained using a sample size of 50. The Pvalue will most likely witness a further decrease in the Pvalue if the sample size is increased to 500 as this would move the claim closer to being significant.

sec ф = 5/3 (quadrant 4)

let x = base

y = perp

z = hypotenuse

sec ф = hypotenuse/base = 5/3

⇒ z = 5 and x = 3

finding y:

z² = x² + y²

5² = 3² + y²

y² = 25-9

y² = 16

y = 4

now finding all other geometric functions of theta:

sin ф = y/z = 4/5

sin ф = -4/5 (sin is negative in the 4th quadrant)

cos ф = x/z = 3/5

cos ф = 3/5 (cos is positive in 4th quadrant)

tan ф = y/x = 4/3

tan ф = -4/3 (tan is negative in 4th quadrant)

cosec ф = z/y = 5/4

cosec ф = -5/4 (cosec is negative in the 4th quadrant)

cot ф = x/y = 3/4

tan ф = -3/4 (tan is negative in 4th quadrant)