Answer :
The proportions are variable, according to statistics. By null hypothesis, [tex]H_{0}[/tex] has been approved.
The null hypothesis asserts that the two options are identical. The null hypothesis states that the differences observed are solely attributable to chance. The alternative hypothesis, on the other hand, is a statement employed in statistical inference studies. It is opposed to the null hypothesis and therefore is symbolized by [tex]H_{0}[/tex] or [tex]H_{1}[/tex].
Using p-value, the sample data, test type, and sampling pattern of the statistical test under the null hypothesis are used to determine the p-value.
[tex]H_{0}[/tex]: p is not 55% vs [tex]H_{1}[/tex]: p = 55%
The standard deviation is,
σ = √(P × (( 1 - P ) ÷ n) = √(0.55 × (0.33 ÷ 100)) = 0.0426
z - score is (p - P) ÷ σ = (0.55 - 0.49) ÷ 0.0426 = 1.408
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