Express the Null Hypothesis and the Alternative Hypothesis in Symbolic $( \mu , \mathrm { p } , \sigma )$

question 32

Multiple Choice

Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol $( \mu , \mathrm { p } , \sigma )$ for the
indicated parameter.
-A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p, is less than 2 in every one thousand.

• A)
• \(\begin{array}{l}
• \mathrm{H}_{0}: p>0.002 \\
• \mathrm{H}_{1}: p \leq 0.002
• \end{array}\)
• B)
• \(\begin{array}{l}
• \mathrm{H}_{0}: \mathrm{p}=0.002 \\
• \mathrm{H}_{1}: \mathrm{p}<0.002
• \end{array}\)
• C)
• \(\begin{array}{l}
• H_{0}: p=0.002 \\
• H_{1}: p>0.002
• \end{array}\)
• D)
• \(\begin{array}{l}
• \mathrm{H}_{0}: \mathrm{p}<0.002 \\
• \mathrm{H}_{1}: \mathrm{p} \geq 0.002
• \end{array}\)

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Definitions:

Sigma Notation

A concise way of expressing a sum of terms using the Greek letter sigma (Σ), indicating a series to be added together.

Alternating Series

A series in mathematics where the terms alternately change their signs between positive and negative.

Sum

The total amount resulting from the addition of two or more numbers, quantities, or items.

Arithmetic Sequence

A sequence of numbers in which each term after the first is obtained by adding a constant to the preceding term.