Answer: 2.68
Step-by-step explanation:
Claim : The proportion of peas with yellow pods is equal to 0.25
i.e. p=0.25
Sample size : [tex]460[/tex]
Proportion of peas with yellow pods in sample :
[tex]P=\dfrac{91}{460}=0.19782608695\approx0.20[/tex]
Now, the test statistic for the population proportion is given by :-
[tex]z=\dfrac{p-P}{\sqrt{\dfrac{P(1-P)}{n}}}[/tex]
[tex]\Rightarrow\ z=\dfrac{0.25-0.20}{\sqrt{\dfrac{0.20(1-0.20)}{460}}}\Rightarrow\ z=2.68095132369\approx2.68[/tex]
Hence, the value of the test statistic is 2.68
The proportion of peas with yellow pods is equal to 0.25. Then the value of the test statistics of peas with yellow pods is 2.68.
Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, summarise the data.
Given
The claim is that the proportion of peas with yellow pods is equal to 0.25 (or 25%).
The sample statistics from one experiment include 460 peas with 91 of them having yellow pods.
Sample size = 460
The proportion of peas with yellow pods in the sample.
[tex]\rm P = \dfrac{91}{460} = 0.1978 \approx 0.2[/tex]
Now, the test statistic for the population proportion is given by;
[tex]\rm z = \dfrac{p-P}{\sqrt{\frac{P(1-P)}{n}}}\\\\z = \dfrac{0.25-0.2}{\sqrt{\frac{0.2(1-0.2)}{460}}}\\\\z = 2.68[/tex]
Thus, the value of the test statistics is 2.68.
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