g According to the U.S. department of Agriculture (USDA), 48.9% of males aged 20 to 39 years consume the recommended daily requirement of calcium. After an aggressive "Got Milk" advertising campaign, the USDA conducts a survey of 35 randomly selected males aged 20 to 39 and finds that 21 of them consume the recommended daily allowance (RDA) of calcium. At the ????=0.05level of significance, is there evidence to conclude that the percentage of males aged 20 to 39 who consume the RDA of calcium has increased?

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23-04-2021
Mathematics

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g According to the U.S. department of Agriculture (USDA), 48.9% of males aged 20 to 39 years consume the recommended daily requirement of calcium. After an aggressive "Got Milk" advertising campaign, the USDA conducts a survey of 35 randomly selected males aged 20 to 39 and finds that 21 of them consume the recommended daily allowance (RDA) of calcium. At the ????=0.05level of significance, is there evidence to conclude that the percentage of males aged 20 to 39 who consume the RDA of calcium has increased?

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fichoh fichoh · Answer 1 · 2021-04-25T10:08:59+02:00

Answer:

We can conclude that there is no sufficient evidence to conclude that the percentage of males aged 20 to 39 who consume the RDA of calcium has increased

Step-by-step explanation:

H0 : p = 0.489

H1 : p > 0.489

Phat = x/ n ; x = 21 ; n = 35

Phat = x/ n = 21 / 35 = 0.6

Test statistic :

(Phat - P0) ÷ sqrt[P0(1 - P0) /n]

1 - P0 = 1 - 0.489 = 0.511

Phat - P0 = 0.6 - 0.489 = 0.111

Test statistic = 0.111 ÷ sqrt[(0.489 * 0.511) / 35]

Test statistic = 0.111 ÷ sqrt(0.0071394)

Test statistic = 0.111 ÷ 0.0844949

Test statistic = 1.314

Pvalue from Tstatistic :

Pvalue = P(Z < 1.314) = 0.90558

α = 0.05

Pvalue > α ; Hence, we fail to reject the Null

We can conclude that there is no sufficient evidence to conclude that the percentage of males aged 20 to 39 who consume the RDA of calcium has increased