Kyle has created a video game called Falling Stars in which the player zaps stars from the sky. A certain number of stars must b

e zapped before the player can move on to the next level. Each zapped star is worth the same number of points on each level. The table shows how many stars will need to be zapped and the points that can be earned at each level.
Explain the ratio relationship between the number of stars zapped and the points earned be described. How many stars will need to be zapped on Level 10?

A) For every 5 stars zapped, 250 points are earned. The player will need to zap 65 stars to complete Level 10.
B) For every 5 stars zapped, 200 points are earned. The player will need to zap 65 stars to complete Level 10.
C) For every 20 stars zapped, 50 points are earned. The player will need to zap 70 stars to complete Level 10.
D) For every 10 stars zapped, 100 points are earned. The player will need to zap 55 stars to complete Level 10.

Mathematics

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Answer:

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Step-by-step explanation:

Mike, while campaigning for the student government presidency, is keen to determine if more than 50% of the student body supports him.

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Let p = the proportion of students backing Mike.

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Alternate Hypothesis, $H_A$ : p > 50% {indicating that the proportion of supporters among the student body is significantly more than 50%}

The test statistics to be utilized here One-sample z proportion statistics;

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where, $\hat p$ = the sampled proportion in favor of Mike = $\frac{55}{100}$ = 0.55

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= 1.01

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At a significance level of 0.05, the z table provides a critical value of 1.645 for a right-tailed test.

Given that our test statistic falls below the critical value of z (1.01 < 1.645), we lack sufficient evidence to reject the null hypothesis as it remains outside the rejection region, leading to failure to reject our null hypothesis.

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