CAIE A-Level Mathematics A2 6.5.2 Normal Approximation Questions

$\mathrm{H}_{0}: p=0.24 \mathrm{H}_{1}: p<0.24$$\mathrm{P}(X \leq 2)=0.76^{25}+25 \times 0.76^{24} \times 0.24+{ }^{25} \mathrm{C}_{2} \times 0.76^{23} \times 0.24^{2}$ or $\quad 0.0010479+0.0082732+0.0313513$
Expression must be seen. No end errors.

= 0.0407
SC B1 for unsupported 0.0407.

0.0407 < 0.05
For valid comparison.

[Evidence to reject $\mathrm{H}_{0}$.] There is sufficient evidence to suggest that the support for the Today Party has decreased.

A1FT

FT their probability. In context, not definite, no contradictions. SC: if $\mathrm{H}_{1}: p \neq 0.24$ and compare with 0.025 ;
max B0 M1 A1 M1 A0.

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