Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

In a survey of 100 randomly selected people in City A, 81 support increased government spending on education. In a survey of 100 randomly selected people in City B, 87 support such spending. Test the alternative hypothesis that the population proportion of people in City A who support such spending is less than the population proportion of people in City B who do. The test statistic is [tex]$z = -1.16$[/tex]. What is the corresponding [tex][tex]$p$[/tex]-value[/tex]? Compute your answer using a value from the table below.

\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|}
\hline [tex]$z$[/tex] & 0.00 & 0.01 & 0.02 & 0.03 & 0.04 & 0.05 & 0.06 & 0.07 & 0.08 & 0.09 \\
\hline -2.0 & 0.023 & 0.022 & 0.022 & 0.021 & 0.021 & 0.020 & 0.020 & 0.019 & 0.019 & 0.018 \\
\hline -1.9 & 0.029 & 0.028 & 0.027 & 0.027 & 0.026 & 0.026 & 0.025 & 0.024 & 0.024 & 0.023 \\
\hline -1.8 & 0.036 & 0.035 & 0.034 & 0.034 & 0.033 & 0.032 & 0.031 & 0.031 & 0.030 & 0.029 \\
\hline -1.7 & 0.045 & 0.044 & 0.043 & 0.042 & 0.041 & 0.040 & 0.039 & 0.038 & 0.038 & 0.037 \\
\hline -1.6 & 0.055 & 0.054 & 0.053 & 0.052 & 0.051 & 0.049 & 0.048 & 0.047 & 0.046 & 0.046 \\
\hline -1.5 & 0.067 & 0.066 & 0.064 & 0.063 & 0.062 & 0.061 & 0.059 & 0.058 & 0.057 & 0.056 \\
\hline -1.4 & 0.081 & 0.079 & 0.078 & 0.076 & 0.075 & 0.074 & 0.072 & 0.071 & 0.069 & 0.068 \\
\hline -1.3 & 0.097 & 0.095 & 0.093 & 0.092 & 0.090 & 0.089 & 0.087 & 0.085 & 0.084 & 0.082 \\
\hline -1.2 & 0.115 & 0.113 & 0.111 & 0.109 & 0.107 & 0.106 & 0.104 & 0.102 & 0.100 & 0.099 \\
\hline -1.1 & 0.136 & 0.133 & 0.131 & 0.129 & 0.127 & 0.125 & 0.123 & 0.121 & 0.119 & 0.117 \\
\hline -1.0 & 0.159 & 0.156 & 0.154 & 0.152 & 0.149 & 0.147 & 0.145 & 0.142 & 0.140 & 0.138 \\
\hline
\end{tabular}

Sagot :

GinnyAnswer
To determine the corresponding [tex]\( p \)[/tex]-value for the given [tex]\( z \)[/tex]-score of [tex]\(-1.16\)[/tex], we will use the provided z-table. Here's a step-by-step guide:

1. Identify the [tex]\( z \)[/tex]-score of interest:
The [tex]\( z \)[/tex]-score provided is [tex]\(-1.16\)[/tex].

2. Locate the row corresponding to the integer and first decimal place of the [tex]\( z \)[/tex]-score:
For [tex]\(-1.16\)[/tex], the integer and first decimal place are [tex]\(-1.1\)[/tex]. Locate the row for [tex]\(-1.1\)[/tex].

3. Locate the column corresponding to the hundredth decimal place of the [tex]\( z \)[/tex]-score:
For [tex]\(-1.16\)[/tex], the second decimal place is [tex]\(0.06\)[/tex]. Locate the column for [tex]\(0.06\)[/tex].

4. Find the intersection of the row and column:
Find where the row for [tex]\(-1.1\)[/tex] and the column for [tex]\(0.06\)[/tex] intersect in the table.

Based on the provided table, the intersection of the row [tex]\(-1.1\)[/tex] and column [tex]\(0.06\)[/tex] gives the following value:

[tex]\[ p = 0.123 \][/tex]

Thus, the corresponding [tex]\( p \)[/tex]-value for the [tex]\( z \)[/tex]-score of [tex]\(-1.16\)[/tex] is 0.123.
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.